integral 1 to 500 (13^x  11^x) + integral 2 to 500 (11^x  13^x) dx = (answer: 14.946) I tried typing the integrals in the graphing calculator to get the answer, but it says overflow. Any help on solving
10,851 results
Calculus
Please help! ASAP 1. If the integral from 1 to 6 of f of x, dx equals negative 10 and the integral from 3 to 6 of f of x, dx equals negative 8, then what is the value of integral from 1 to 3 of f of x, dx? A. 2 B. 2 C. 18 D. 12 2. Use geometry to

calc
Suppose the integral from 2 to 10 of g of x, dx equals 10 and the integral from 8 to 10 of g of x, dx equals negative 6, find the value of the integral from 2 to 8 of onehalf times g of x, dx .

calculus integrals
Evaluate the integral by making the given substitution. (Use C for the constant of integration. Remember to use absolute values where appropriate.) integral x^5/x^65 dx, u = x6 − 5 I got the answer 1/6ln(x^65)+C but it was wrong. ps. I wrote the word

math, calculus
if f(1)=12 and f' is continuous, what is the value of f(4)? integral from 1 to 4 of f'(x)dx = 17 IF the integral of f'(x) dx from 1 to 4 is 17, as you say, then the function f(x), which is the integral with an arbitrary constant, changes by 17 from 1 to 4.

Calculus
Consider the area between the graphs x+2y=4 and x+4=y2. This area can be computed in two different ways using integrals 1) Compute as a sum of two integrals 2) Compute as a single integral 3) Either way, what is the area? __ So for 1) I rewrote the two to

Calculus
Suppose the integral from 2 to 8 of g of x, dx equals 5, and the integral from 6 to 8 of g of x, dx equals negative 3, find the value of the integral from 2 to 6 of 2 times g of x, dx . 8 MY ANSWER 12 16 4

Calculus
1. Express the given integral as the limit of a Riemann sum but do not evaluate: integral[0 to 3]((x^3  6x)dx) 2.Use the Fundamental Theorem to evaluate integral[0 to 3]((x^3  6x)dx).(Your answer must include the antiderivative.)

calc
d/dx integral from o to x of function cos(2*pi*x) du is first i do the integral and i find the derivative right. by the fundamental theorem of calculus, if there is an integral from o to x, don't i just plug the x in the function. the integral of the

calculus (please with steps and explanations)
consider the function f that is continuous on the interval [5,5] and for which the definite integral 0(bottom of integral sign) to 5(top of integral sign) of f(x)dx=4. Use the properties of the definite integral to evaluate each integral: (a) definite

Calculus
If f(x) and g(x) are continuous on [a, b], which one of the following statements is true? ~the integral from a to b of the difference of f of x and g of x, dx equals the integral from a to b of f of x, dx minus the integral from a to b of g of x dx ~the

Calc
Evaluate the integral using any method: (Integral)sec^3x/tanx dx I started it out and got secx(1tan^2x)/tanx. I know I just have to continue simplifying and finding the integral, but I'm stuck on the next couple of steps. Also, I have another question

Calculus AB
The rate of growth dP/dt of a population of bacteria is proportional to the square root of t, where p is the population size and t is the time in days (0

calculus
1.Evaluate the integral. (Use C for the constant of integration.) integral ln(sqrtx)dx 2. Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the curves about the given axis. y = 4ex, y = 4e−x, x = 1;

Calculus
integral 1 to 500 (13^x  11^x) + integral 2 to 500 (11^x  13^x) dx = (answer: 14.946) I tried typing the integrals in the graphing calculator to get the answer, but it says overflow. Any help on solving this? Thanks!

math
Evaluate the following indefinite integral by using the given substitution to reduce the integral to standard form integral 2(2x+6)^5 dx, u=2x+6

calculus
Starting with F(x) = integral (2, x) 3t^2(cos (t^3) + 2) dt, use substitution u(t)=t^3 to rewrite the definite integral. You should get a new equivalent expression for F(x), which consists of this new definite integral.

Integration by Parts
integral from 0 to 2pi of isin(t)e^(it)dt. I know my answer should be pi. **I pull i out because it is a constant. My work: let u=e^(it) du=ie^(it)dt dv=sin(t) v=cos(t) i integral sin(t)e^(it)dt= e^(it)cos(t)+i*integral cost(t)e^(it)dt do integration by

Calculus
Which of the following integrals can be integrated using partial fractions using linear factors with real coefficients? a) integral 1/(x^41) dx b) integral (3x+1)/(x^2+6x+8) dx c) integral x^2/(x^2+4) d) None of these

math
Note: You can get full credit for this problem by just answering the last question correctly. The initial questions are meant as hints towards the final answer and also allow you the opportunity to get partial credit. Consider the definite integral from

calculus
consider the function f that is continuous on the interval [5,5] and for which the definite integral 0(bottom of integral sign) to 5(top of integral sign) of f(x)dx=4. Use the properties of the definite integral to evaluate each integral: (a) definite

Calculus
In the interval (0 is less than or equal to x which is less than or equal to 5), the graphs of y=cos(2x) and y=sin(3x) intersect four times. Let A, B, C, and D be the xcoordinates of these points so that 0

calculus integral
Consider the integral: 21 ∫ x^3 dx 3 Use all three methods to approximate this integral with n = 3 Find the exact value of this integral

Quick calc question
Which of the following definite integrals could be used to calculate the total area bounded by the graph of y = 1 – x2 and the xaxis? the integral from 0 to 1 of the quantity 1 minus x squared, dx plus the integral from 1 to 2 of the quantity 1 minus x

calculus
8). Part 1 of 2: In the solid the base is a circle x^2+y^2=16 and the crosssection perpendicular to the yaxis is a square. Set up a definite integral expressing the volume of the solid. Answer choices: integral from 4 to 4 of 4(16y^2)dy, integral from

math
Integrate following integrals. 1.integral ax+b/(sqrt(ax^2+2bx+c)dx 2.integral 1+x/(1+x^2)dx 3.integral e^x+1/e^x dx

Calculus
Which of the following definite integrals could be used to calculate the total area bounded by the graph of y = 1 – x2 and the xaxis? the integral from 0 to 1 of the quantity 1 minus x squared, dx plus the integral from 1 to 2 of the quantity 1 minus x

calc asap!
can you help me get started on this integral by parts? 4 S sqrt(t) ln(t) dt 1 please help! thanks! Integral t^(1/2)Ln(t)dt = 2/3 t^(3/2)Ln(t) 2/3 Integral t^(1/2) dt = 2/3 t^(3/2)Ln(t)  4/9 t^(3/2) Simpler method: Integral t^(a)dt = t^(a+1)/(a+1)

Calculus II/III
A. Find the integral of the following function. Integral of (x√(x+1)) dx. B. Set up and evaluate the integral of (2√x) for the area of the surface generated by revolving the curve about the xaxis from 4 to 9. For part B of our question , the surface

calculus
It is estimated that x years from now, the value V(x) of an acre of farmland will be increasing at the rate of: V'(x)= 0.4x^3/sqrroot(0.2x^4+8000 dollars per year. The land is currently worth $500 per acre. A. Find V(x) b. How much will the land be worth

integration by parts
s integral s ln (2x+1)dx ? = ln(2x+1)x  s x d( ln (2x+1)) = ln(2x+1)x s x [(2x+1)'/ (2x+1)] dx = ln(2x+1)x s x [(2)/ (2x+1)] ?... then i'm confused... "ln(2x+1)x s x [(2)/ (2x+1)] ?... then i'm confused..." x [(2)/ (2x+1)] = 2x/(2x+1) =

intergrals
find value of def integral with a=2 and b=2sqrt(3) definite integral is : x^3 * sqrt(x^2+4) dx for integral i get 1/15 *((4+x^2)^(3/2)) (8+3x^2) for value i get [1536 64sqrt(2)]/15 but its' wrong. help please

Calculus
Evaluate the integral. 1/2 integral e^(t/2) (I'm not sure what the 1/2 on the left of the integral symbol means.)

Calculus
I have two questions, because I'm preparing for a math test on monday. 1. Use the fundamental theorem of calculus to find the derivative: (d/dt) the integral over [0, cos t] of (3/5(u^2))du I have a feeling I will be able to find the derivative easily,

Math (Definite Integrals)
Sketch the region given by the definite integral. Use geometric shapes and formulas to evaluate the integral (a > 0, r > 0). r ∫ sqrt(r^2  x^2) dx r While I recognize that this looks similar to a circle function, I'm not sure how to graph and evaluate

math
Generalize this to fine a formula for the integral: sin(ax)cos(bx)dx Could someone tell me what they got for an answer so I can check it to see if my answer is right. My answer: 1/2sinasinbx^21/3acosaxcosbx^3+ integral 1/3 a^2cosbx^3sinax..I'm not sure

Quick calc question
Which of the following definite integrals could be used to calculate the total area bounded by the graph of y = 1 – x2 and the xaxis? the integral from 0 to 1 of the quantity 1 minus x squared, dx plus the integral from 1 to 2 of the quantity 1 minus x

Quick calc question
Which of the following definite integrals could be used to calculate the total area bounded by the graph of y = 1 – x2 and the xaxis? the integral from 0 to 1 of the quantity 1 minus x squared, dx plus the integral from 1 to 2 of the quantity 1 minus x

calc
how do you start this problem: integral of xe^(2x) There are two ways: 1) Integration by parts. 2) Differentiation w.r.t. a suitably chosen parameter. Lets do 1) first. This is the "standard method", but it is often more tedious than 2) You first write

Calculus
Find the volume of the solid whose base is the region in the xyplane bounded by the given curves and whose crosssections perpendicular to the xaxis are (a) squares, (b) semicircles, and (c) equilateral triangles. for y=x^2, x=0, and y=0 (a) integral

calc
find integral using table of integrals ) integral sin^4xdx this the formula i used integral sin^n xdx =1/n sin^n1xcosx +n1/n integral sin^n2 using the formula this is what i got: integral sin^4xdx=1/4sin^3xcosx+3/4 integral sin^2xdx= 1/2sinxcosx+1/2

math
LEt f and g be continous functions with the following properties i. g(x) = Af(x) where A is a constant ii. for the integral of 1 to 2 f(x)dx= the integral of 2 to 3 of g(x)dx iii. for the integral from 2 to 3 f(x)dx = 3A a find the integral from 1 to 3

calculus
a) Let f(z) = z^2 and γ(t) = 1 + it^3, t ∈ [0,1]. i) Write out the contour integral ∫γ f(z)dz as an integral with respect to t. You do not need to evaluate this integral. ii) Evaluate the integral ∫0,1+i z^2dz iii) What is the relationship between

Physics, Calculus(alot of stuff together)= HELP!!
A rod extending between x=0 and x= 14.0cm has a uniform cross sectional area A= 9.00cm^2. It is made from a continuously changing alloy of metals so that along it's length it's density changes steadily from 2.70g/cm^3 to 19.3g/cm^3. a) Identify the

calculus
consider the function f(x) = e^x(sinNx) on the interval [0,1] where N is a positive integer. a) Compute the integral from 0 to 1 of f(x). Evaluate this integral when N=5, N=10, and N=100. B) What happens to the graph and to the value of the integral as

calculus
consider the function f(x) = e^x(sinNx) on the interval [0,1] where N is a positive integer. a) Compute the integral from 0 to 1 of f(x). Evaluate this integral when N=5, N=10, and N=100. B) What happens to the graph and to the value of the integral as

Calculus
Can someone look over my work and tell me if my steps look correct? I'm trying to correct some problems that looked wrong. Instructions: Find the total areas between the given curves. 1. x= (y^3) and x=(y^2) on the interval [0,1] (integral from 0 to 1 of)

Calculus
Use the symmetry of the graphs of the sine and cosine functions as an aid in evaluating each definite integral. (a) Integral of sinx*dx from pi/4 to pi/4 (b) Integral of cosx*dx from pi/4 to pi/4 (c) Integral of cosx*dx from pi/2 to pi/2 (d) Integral of

Calculus
Hello, I have some calculus homework that I can't seem to get started..at least not on the right track? I have 3 questions 1. integral of [(p^5)*(lnp)dp] I'm using the uvintegral v du formula So first, I'm finding u and I think it's lnp.......so du is 1/p

Calculus
Can someone check my work and answer? Evaluate the integral from 1 to 0 of (4x^6+2x)^3(12x^5+1)dx My work: let u=4x^6+2x dx=du/24x^5+2 now we have the integral from 1 to 0 of u^3(12x^5+1)(du/24x^5+2) Simplifies to the integral from 1 to 0 of

Quick calc question
If f(x) and g(x) are continuous on [a, b], which one of the following statements is false? the integral from a to b of the sum of f of x and g of x, dx equals the integral from a to b of f of x, dx plus the integral from a to b of g of x dx the integral

Integral
That's the same as the integral of sin^2 x dx. Use integration by parts. Let sin x = u and sin x dx = dv v = cos x du = cos x dx The integral is u v  integral of v du = sinx cosx + integral of cos^2 dx which can be rewritten integral of sin^2 x = sinx

Calc BC
1. Find the indefinite integral. Indefinite integral tan^3(pix/7)sec^2(pix/7)dx 2. Find the indefinite integral by making the substitution x=3tan(theta). Indefinite integral x*sqrt(9+x^2)dx 3. Find the indefinite integral. Indefinite integral

Calculus
Hello, I'd appreciate any help with the following question below: Information: g(x)= 4 (x+1)^(2/3) f(x)= ∫ g(t) dt The Question: What is f(26) ? (NOTE: I don't know how to do this on a key board, so I'll just say that while I did type an Indefinite

double integral
1. Sketch the region of integration & reverse the order of integration. Double integral y dydz... 1st (top=1, bottom =0)... 2nd(inner) integral (top=cos(piex), bottom=(x2)... 2. Evaluate the integral by reversing the order of integration. double integral

Calculus
F(x) = cos(x) • the integral from 2 to x² + 1 of e^(u² +5)du Find F'(x). When i did this, i got: 2xsin(x)e^((x²+1)² + 5) But my teacher got: sin(x) • the integral from x² + 1 of e^(u² +5)du + 2xcos(x)e^((x²+1)² + 5) Do you know why the

Calculus  Integrals
I have 3 questions, and I cannot find method that actually solves them. 1) Integral [(4s+4)/([s^2+1]*([S1]^3))] 2) Integral [ 2*sqrt[(1+cosx)/2]] 3) Integral [ 20*(sec(x))^4 Thanks in advance.

Calculus
Find the area of the region bounded by y = x^2, y = 0, x = 1, and x = 2. I tried the integral from 1 to 2 of x^2 and got 3 as the answer. I tried (integral from 0 to 1 of √y + 1) + (integral from 0 to 4 of 2  √y) and got 13/3. What is wrong with the

Calculus  Integrals
I have 3 questions, and I cannot find method that actually solves them. 1) Integral [(4s+4)/([s^2+1]*([S1]^3))] 2) Integral [ 2*sqrt[(1+cosx)/2]] 3) Integral [ 20*(sec(x))^4 Thanks in advance.

Calculus Help Please Urgent!!!
Prove that the integral on the interval [a,b] of x is equal (b^2a^2)/2 integral a to be (x)dx = (b^2a^2)/2 using the definition of a Definite Integral. This is the limit of a sum approach. show steps please!!! Thank you!!!

calc check
If that is the y value of the center of mass, I don't know why the factor (1/2) is there I also don't agree with your calculation of the x value, which should be 1/(ln 2). I agree with you that the area is ln 2 find the center of mass of the region bounded

Calc 2
a. Integral (x^2)/(sqrt(1+(x^2))) Would I separate these two into 2 separate integrals? Like: Integral of x^2 and the other integral of 1/sqrt(1+(x^2)) b. Integral (x^7)/(ln(x^4))dx Do I use integration by parts for this? I put u= lnx du = 1/x dv = x^7 v =

Calculus (urgent help)
consider the function f that is continuous on the interval [5,5] and for which the definite integral 0(bottom of integral sign) to 5(top of integral sign) of f(x)dx=4. Use the properties of the definite integral to evaluate each integral: (a) definite

calc
also: integral of tan^(1)y dy how is integration of parts used in that? You write: arctan(y)dy = d[y arctan(y)]  y d[arctan(y)] Here we again have used the product rule: d(fg) = f dg + g df You then use that: d[arctan(y)] = 1/(1+y^2) dy So, the integral

Calculus
Hello, I'm having trouble with this exercise. Can you help me? Integral of (x* (csc x)^2)dx I'm using the uv  integral v du formula. I tried with u= (csc x)^2 and used some trigonometric formulas, but the expression became too complicated, I couldn't

Calculus
This is a definite integral question. Evaluate the following integral: (0)S(a)((x)((a^2  x^2)^(1/2)))dx with a being a constant and the (0) being at the bottom of the integral notation and (a) at the top. S is the integral notation. I firstly checked

Calculus
What is the best method to evaluate the integral of 1/(4x^29) dx a) Integration by parts b) Rewrite the integral using long division c) Rewrite the integral using partial fractions d) Use a substitution > my answer Can you check for me, please

calc 3
1. Evaluate the given integral by making an appropriate change of variables, where R is the region in the first quadrant bounded by the ellipse 36x^2+25y^2=1. L= double integral R (4sin(144x^2+100y^2) dA. 2. Use the given transformation to evaluate the

calc: arc length
find the exact length of this curve: y = ( x^3/6 ) + ( 1/2x ) 1/2

Calc 121
How do you integrate using substitution: the integral from 1 to 3 of: ((3x^2)+(2))/((x^3)+(2x)) There is a trick to this one that grealy simplifies the integral. Let u = x^3 + 2x. Then du = (3x^2 + 2)dx The integral then bemoces just the integral of du/u,

Calculus
integral oo, oo [(2x)/(x^2+1)^2] dx (a) state why the integral is improper or involves improper integral *infinite limit of integration (b) determine whether the integral converges or diverges converges? (c) evaluate the integral if it converges I know

Math/Calculus
How would I solve the following integral with the substitution rule? Integral of: [(x^3)*(1x^4)^5]dx Put 1x^4 = y Then 4x^3 dx = dy Integral is then becomes: Integral of 1/4 y^5 dy ok, thanks a lot! I got it now.

calculus
LEt f and g be continous functions with the following properties i. g(x) = Af(x) where A is a constant ii. for the integral of 1 to 2 f(x)dx= the integral of 2 to 3 of g(x)dx iii. for the integral from 2 to 3 f(x)dx = 3A a find the integral from 1 to 3

calculus
LEt f and g be continous functions with the following properties i. g(x) = Af(x) where A is a constant ii. for the integral of 1 to 2 f(x)dx= the integral of 2 to 3 of g(x)dx iii. for the integral from 2 to 3 f(x)dx = 3A a find the integral from 1 to 3

calculus
1. integral oo, oo [(2x)/(x^2+1)^2] dx 2. integral 0, pi/2 cot(theta) d(theta) (a) state why the integral is improper or involves improper integral (b) determine whether the integral converges or diverges converges? (c) evaluate the integral if it

Math
Find the integrals. (show steps) (integral sign) xe^(4x^2) I think this how is how its done: (integral sign) xe^(4x^2) it's a u du problem let u=4x^2 so, du=8x dx now you have an x already so all u need is 8 inside and and 1/8 outside the integral [1/8]

Calc
Hello im trying to integrate tan^3 dx i have solved out the whole thing but it doesnt match up with the solution.. this is what i did: first i broke it up into: integral tan^2x (tanx) dx integral (sec^2x1)(tanx) dx then i did a u substitution u = secx du

Calc
Hello im trying to integrate tan^3 dx i have solved out the whole thing but it doesnt match up with the solution.. this is what i did: first i broke it up into: integral tan^2x (tanx) dx integral (sec^2x1)(tanx) dx then i did a u substitution u = secx du

Calculus II
Integrate using integration by parts (integral) (5x) e^3x u = 5x du = dx dv = e^3x v = 3e^3x I wonder if this is right so far. = uv  (integral) v du = (5x)(3e^3x)  (integral) (3e^3x) =(5x)(3e^3x) + (integral) (3e^3x) = (5x)(3e^3x) + 9e^3x + C

Calculus
online class and I don't know what to do so I posts. Any help is great.Thank you Convert the integral [0,1]∫ [0,√(1x^2 y^2)]∫𝑧√(x^2 +y^2 +z^2)dz dy dx into anequivalent integral in spherical coordinates and evaluate the integral.

Calculus
evaluate the integral or state that it diverges. Check if I did it correctly. integral 0,1 dr/r^.999 lim b>0+ integral b, 1 1000r^.001 =1000

calculus
evaluate integral or state that it is diverges integral oo, 2 [2/(x^21)] dx  integral oo, 2 [2/(x^21)] dx Through partial fractions, I came up with lim [ln(x1)ln(x+1)] b, 2 b>oo I get (ln(3)0)(oooo)). The

math
Evaluate the following indefinite integral by using the given substitution to reduce the integral to standard form integral cos(9x) dx, u=9x

math
Evaluate the given integral, where C is the circle with positive orientation. Cauchy integral theorem, integral over C (2z3)/(z^(2)4)(z+2) dz, C:z+3=3

math
How do I derive the secant reduction rule? Integral (sec x)^n dx = Integral (sec x)^(n2) * (sec x)^2 dx = Integral ((tan x)^2 + 1)^(n/21) * (sec x)^2 dx Doing a substitution with: u = tax x du = (sec x)^2 dx = Integral (u^2 + 1)^(n/21) * du At this

Math(Please check)
evaluate the integral integral of 3 to 2 x/(x^22)^2 dx u=x^22 du=2x dx 1/2 du = x dx integral of 1/u^2 du 1/(x^22) Then I plug in 3 and 2 and subtract them form each other 1/(3^22)  (1/(2^22) Is this correct?

calc II
Express the integrals as the sum of partial fractions and evaluate the integral: (integral of) (x^2)dx/(x1)(x^2 +2x+1) My work: The above integral is equal to x^2dx/(x+1)^2 (A/x1) + (B/x+1) + (Cx+D)/(x+1)^2 = x^2 A(x+1)^2 + B(x1)(x+1) + (Cx+d)(x1) =

Math/Calculus
How would I evaluate the following integral by using integration by parts? Integral of: (t^3)(e^x)? You mean (x^3)(e^x)? x^3 exp(x) dx = x^3 d[exp(x)] = d[x^3 exp(x)]  exp(x) d[x^3] = d[x^3 exp(x)]  3 x^2 exp(x) dx So, if you integrate this you get x^3

Integral Help
I need to find the integral of (sin x)/ cos^3 x I let u= cos x, then got du= sin x (Is this right correct?) I then rewrote the integral as the integral of du/ u^3 and then rewrote that as the integral of  du(u^3). For this part, I wasn't sure how to

Math
Calculate the integrals if they converge. 10.) Integral from 1 to infinity of X/4+X^2 dx 14.) integral from Pi/2 to Pi/4 of Sin X / sqrt cos x dx 22.) integral from 0 to 1 of ln x/x dx I'm having problems with working these out to figure out if they

Math/Calculus
How would I integrate the following by parts: Integral of: (x^2)(sin (ax))dx, where a is any constant. Just like you did x^2 exp(x) below. Also partial integration is not the easiest way to do this integral. You can also use this method. Evaluate first:

Math
one Percentage increase / decrease formula in excel that full all the conditions that are mentioned below 2012 2011 1 0 0 2 0 500 3 500 0 4 500 1000 5 1000 500 6 500 (1000) 7 (1000) 500 8 (500) (1000) 9 (1000) (500) Dear its urgent

Math
one Percentage increase / decrease formula in excel that full all the conditions that are mentioned below 2012 2011 1 0 0 2 0 500 3 500 0 4 500 1000 5 1000 500 6 500 (1000) 7 (1000) 500 8 (500) (1000) 9 (1000) (500) Dear its urgent

Calculus
Evaluate the integral: 16csc(x) dx from pi/2 to pi (and determine if it is convergent or divergent). I know how to find the indefinite integral of csc(x) dx, but I do not know how to evaluate the improper integral.

Calculus
I need help with this integral. w= the integral from 0 to 5 24e^6t cos(2t) dt. i found the the integration in the integral table. (e^ax/a^2 + b^2) (a cos bx + b sin bx) im having trouble finishing the problem from here.

Calc II
Perform long division on the integrand, write the proper fraction as a sum of partial fractions, and evaluate the integral: (integral of) 2y^4dy/y^3  y^2 + y  1 After long divison I get: (integral of)2ydy + 2(integral of)dy + (integral of) 2/y^3  y^2 +

Calculus II
Evaluate using usubstitution: Integral of: 4x(tan(x^2))dx Integral of: (1/(sqrt(x)*x^(sqrt(x))))dx Integral of: (cos(lnx)/x)dx

Calculus 2
The question is: Evaluate the improper integral for a>0. The integral is: the integral from 0 to infinity, of e^(y/a)dy Can anyone help me solve this? When I try I get 'a', which apparently is incorrect. Thank you!

math
evaluate the double integral and reverse order of integration [(first integral 0 to 1)(second integral 9y to 9)e^(x^2)dx)dy

Math
Identify u and du for the integral. 1. The integral of [(cosx)/(sin^(2)x)]dx 2. The integral of sec2xtan2xdx

Calculus
Which of the following is an improper integral? a) integral from 0 to 3 of (x+1)/(3x2) dx b) integral from 1 to 3 of (x+1)/(3x2) dx c) integral from 1 to 0 of (x+1)/(3x2) dx d) None of these Please help I don't know which one?