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calculus *improper integrals*

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calculus
how would you do this improper integral 1/(x-1) from 0 to 2 this is improper at one, so I split it up into two integrals ln(x-1) from 0-1 and ln(x-1) from 1-2 I then did for the first one the (lim t->1(-) of ln(t-1))-(ln(0-1)) and then the same thing for the second part I ...

calculus
how would you do this improper integral 1/(x-1) from 0 to 2 this is improper at one, so I split it up into two integrals ln(x-1) from 0-1 and ln(x-1) from 1-2 I then did for the first one the (lim t->1(-) of ln(t-1))-(ln(0-1)) and then the same thing for the second part I ...

Calculus
What is the connection between improper integrals, Riemann sums, and the integral test?

College Calculus
Could someone explain how to distinguish improper integrals in non-mathematical terms so I may understand? Thanks!

Calculus (improper integrals)
the integral from 0 to lnx of lnx/(x^1/2) thanks!

calc
how would you do this improper integral 1/(x-1) from 0 to 2 this is improper at one, so I split it up into two integrals ln(x-1) from 0-1 and ln(x-1) from 1-2 I then did for the first one the (lim t->1(-) of ln(t-1))-(ln(0-1)) and then the same thing for the second part I ...

calculus
[integrals]2/tsqrt(t^4+25) integrals of two over t square root of t to the 4th plus 25

Calculus
Write 2.445353535353... as a fraction I'm learning integrals right now and this is part of the exercises under it. Is there a trick to this? Using integrals? Thank you very much!

Calculus (Definite Integrals)
How many definite integrals would be required to represent the area of the region enclosed by the curves y=(cos^2(x))(sin(x)) and y=0.03x^2, assuming you could not use the absolute value function? a.) 1 b.) 2 c.) 3 d.) 4 e.) 5

calculus
There are four integrals: 1) definite integral x/(1+x^4)dx b/w 0_infinity 2) definite integral (x^2)/(1+x^4)dx b/w 0_infinity 3) definite integral (x^3)/(1+x^4)dx b/w 0_infinity 4) definite integral (x^4)/(1+x^4)dx b/w 0_infinity Which of these integrals converge. First of all...

calculus
There are four integrals: 1) definite integral x/(1+x^4)dx b/w 0_infinity 2) definite integral (x^2)/(1+x^4)dx b/w 0_infinity 3) definite integral (x^3)/(1+x^4)dx b/w 0_infinity 4) definite integral (x^4)/(1+x^4)dx b/w 0_infinity Which of these integrals converge. First of all...

calculus *improper integrals*
A hole of a radius of 1cm is pierced in a sphere of a 4cm radius. Calculate the volume of the remaining sphere. I know that the volume of a sphere with an exterior radius is of: V = pie(R^2 - r^2) dH where R^2 is the exterior surface area and r^2 is the interior surface area. ...

Calculus AB
Consider the region bounded by the graphs of the equations x=y^2 and y=3x. Set up 2 integrals, one with respect to x and the other with respect to y, both of which compute the volume of the solid obtained by rotating this region about the x-axis and evaluate the integrals.

Calculus - evaluating integrals
I'm really having trouble with this current topic that we're learning. Any explanations are greatly appreciated. Evaluate the integrals: 1.) ∫ (2-2cos^2x) dx 2.) ∫ cot3x dx 3.) ∫ ((e^(sqrt x) / (sqrt x) dx))

MATH 2B Calculus
Consider the area between the graphs x+4y=14 and x+7=y^2. This area can be computed in two different ways using integrals. First of all it can be computed as a sum of two integrals They ask to use two integrals so i put f(x) from -7 to 2 which is correct but for g(x) i put 2 ...

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 f(x)=arctan->f'(x)=1...

Calculus Please Help4
Consider the area between the graphs x+2y=9 and x+6=y^2. This area can be computed in two different ways using integrals First of all it can be computed as a sum of two integrals as integral f(x)dx from a,b + integral g(x)dx from b,c I got a=-6 b=3 c=19 but what does f(x)=? g(...

English
According to her parents, the book that I found was her’s. She told me, however, that she didn’t want it back. 1. Which of the following is an error in the sentence above? A. Improper use of commas around “however” B. Improper use of a comma after the word “parents...

Calculus Area between curves
Consider the area between the graphs x+6y=8 and x+8=y2. This area can be computed in two different ways using integrals First of all it can be computed as a sum of two integrals where a= , b=, c= and f(x)= g(x)= I found a, but not b or c. I can't seem to figure out f(x) and g(...

Calculus ll - Improper Integrals
Find the area of the curve y = 1/(x^3) from x = 1 to x = t and evaluate it for t = 10, 100, and 1000. Then find the the total area under this curve for x ≥ 1. I'm not sure how to do the last part of question ("find the the total area under this curve for x ≥ 1.") ...

MATH
Evaluate by writing it as a sum of two integrals and interpreting one of those integrals in terms of an area.

Calculus integrals
(e^(3x)-2e^(2x)+(5e^x))/(e^x+1) how do I do this what is the techniques??

Calculus
Integrals: When we solve for area under a curve, we must consider when the curve is under the axis. We would have to split the integral using the zeros that intersect with the axis. Would this be for all integrals? What if we just want to "find the integral", without finding ...

Calculus - Integrals
What is the integral of arctan x?

Calculus
[Integrals] h(x)= -4 to sin(x) (cos(t^5)+t)dt h'(x)=?

Integrals calculus
7/x^2-8 does it give you 7ln(x^2-8)

improper fraction
improper fractions like 4 2/3

calculus 2
integrate x^5/(x^2 + sqrt(2)) using a table of integrals

Calculus
11) Find the following indefinite integrals. ∫x/(x+9)^(1/2)dx

calculus
evaluate the definite integrals 1 ∫ root(1+3x) dx 0

Calculus - Definite Integrals Please Help!
h(x)=∫[-3,sin(x)] (cos(t^3)+t) dt

math
1. change to improper fraction: 9 5/9 2. change to improper fraction: 6 23/39 3. change the improper fraction to a whole number:115/20 4. multiply 4 3/4 x 1 1/7 5,subtract- 20 11/15- 17 1/3 6 2(-6)(-8)(0)(-5): multiply 7. solve for the variable: 0.1p=7

math
12 1/3 + 7 7/15 switch fractions to improper fractions then find a common denominator to find improper fraction of 12 1/3 multiply whole number (12) by the denominator of the fraction (3) then add the numerator of the fraction (1) therefore improper fraction will be 37/3

Calculus - Integrals
Integral of (dt/[sqrt(t)+25tsqrt(t)]} From 1/75 to 3/25 I'm at a complete loss at what to do.

Calculus
definite Integrals (using fundamental Theorem) Evaluate from -1 to 2(x^2 - 4x)dx

Calculus (integrals)
Find the integral:8x^7+6/(x^8+6x)^2 I got ln(x^8+6x)^2 but apparently that is wrong.

calculus
Use table of integrals to evaluate the integral of x^4 sinxdx.

Calculus
Hi. How can I integrate 1/(X^3 +1) ? Thank you to anyone who can help me :-) Write 1/(x^3 +1) as 1/[(x+1)(x^2-x+1)] Then use integration by parts, letting dv = dx/(x^2 -x +1) u = 1/(x+1) du = log (x+1) v = (2/sqrt3)arctan[(2x-1)/sqrt3] That should take you to the answer. I ...

calculus
evaluate the improper integral whenever it is convergent ∫0,-00 1/(4-x)^(3/2) dx

Calc or Pre calc
I am having trouble doing this problem. I know how to do indefinate integrals, but I don't know how to do definate integrals. Can you show me how to do this. Evaluate 5 (x^3-2x)dx 2

Maths
What is the answer for these questions:- 1) Indefinite Integrals gcx) = (8 + 39x ^ 3) / x 2) Indefinite Integrals hcu) = sin ^2 (1/8 u) 3) Evaluate x ( 8 - 5 x ^2) dx Thank you

calculus
Use integrals to prove that the volume of a sphere of radius R is equal to (4/3)(pi)R^3

calculus
Use the Table of Integrals to evaluate the integral (x sine(6x^2)cos(7x^2)dx)

Calculus
Find the values of c guaranteed by the mean value theorem for integrals. f(x)= x^3 [0,3]

math, calculus 2
Consider the area between the graphs x+y=16 and x+4= (y^2). This area can be computed in two different ways using integrals. First of all it can be computed as a sum of two integrals integrate from a to b of f(x)dx + integrate from b to c of g(x)dx What is the value of a, b, c...

Calculus
Graph the integrands and use areas to evaluate integrals (integrate(3&-3)) root(9-x^2) dx

Calculus integrals
Find the value of the right-endpoint Riemann sum in terms of n f(x)=x^2 [0,2]

Calculus integrals
Suppose f(x)=∫ (from 0 to x) (t^2-36)/2+cos^2(t) dt. For what value(s) of x does f(x) have a local maximum?

Math (Calculus) Integrals
Evaluate the integral using the following values. 8 ∫ x^3 dx = 1020 2 8 ∫ x dx = 30 2 8 ∫ dx = 6 2 2 ∫ x^3 dx = ? 2

Constitutional Law
is the exclusion of evidence that is obtained through an improper search the appropriate response to an improper search or is there a better way to deal with such situation

Mixed numbers and improper fractions
Improper fraction as a mixed number in simplest form? 29/18

single variable calculus - indefinite integrals
integral of (1-(sinx)^2))/(cosx)dx i don't know what to make my "u" for u-substitution

calculus
Evaluate the following integrals by using appropriate method : ∫cos⁡ ^3 ( 2x-5 )dx help

Calculus
Find all values of c that satisfy the Mean Value Theorem for integrals for f(x)= x^{2} on the interval [-3, 3]

Calculus - Integrals
The region bounded by y=x^2, x=y^2 is rotated about the line y=-3. The volume of the resulting solid is:

Calculus
Describe the solid whose volume is represented by the following definite integrals. The integral of 2pi(x-1)e^x from 2 to 7.

calculus showed work
find the area of the rgion bounded by the graphs of y=x^3-2x and g(x)=-x i drew the graph and half of the graph is above the xaxis and the other half is below the axis. so the integrals i came up with are two because i broke them up and i combined the answers at the end: ...

calculus
evaluate the following indefinite integrals by substitution & check the result by differentiation. ∫(sin2x)^2 cos2xdx

structurlal design 2
15. Sagging in floor joists is typically caused by A. oversized joists. B. undersized joists. C. improper nailing of sub-flooring. D. improper moisture content of the wood i think it's D.

AP Calculus
how do you evaluate integral of [lxl] from (0,2) , a step function. would you just do it as if it were a absolute value and then do two different integrals?

calculus 4
a solid cube, 2 units on a side, is bounded by the planes x=+-1, z=+-1, y=3 and y=5. Find the center of mass using triple integrals.

calculus II university
prove the following integrals: a)sin3xcos7xdx = -1/20cos(10x)+1/8cos(4x) b)sin8xcos3xdx = -1/22cos(11x)-1/10cos(5x)

Calculus
"Evaluate the following indefinite integrals: "S" (3x^2 -2)/(x^3 - 2x + 1)^3 dx" We're practicing the substitution rule, and I know how to do it, but I don't know what/how to substitute in this question. btw: "S" is the integral sign.

Calculus
Integrate [1/square root of(e^(2x)-1)]. I have to use u substitution. We are doing the integrals of inverse trig functions, but I cannot get it to work out!

Calculus - Integrals
Find the volume of the solid of revolution obtained by revolving region bounded by the parabolas 2y=x^2 and y^2=4x about the x-axis

calculus1
Set up the integrals that can be used to find the area of the region by integrating with respect to X and Y (the region is bounded by y=3x,y=x,y=4-x) Anyone help me set up the integrals??

Calculus
Consider the area between the graphs x+1y=12 and x+8=y2 . This area can be computed in two different ways using integrals First of all it can be computed as a sum of two integrals Interval a to b f(x)= i put 12-x but it's wrong Interval c to b f(x)= i put (x-8)^(1/2) but it's ...

statistics
Suppose that fÈ and fX|È are described by simple closed-form formulas. Suppose that È is one-dimensional but X is high-dimensional. a) Suppose that a specific value x of the random variable X has been observed. Is it true that the calculation of the LMS estimate will always...

calculus
set up sums of integrals that can be used to find the area of the region bounded by the graphs of the equations by integrating with respect to y y=square root of x; y= -x, x=1, x=4

calculus
evaluate the following integrals by any means possible: b. integral from -1 to 1 (w/ (w^2+1)) (dw) c. integral from -3 to 0 sqrt(9-x^2)dx

Calculus
ç1 0 x^2dx=1/3. Use this and the properties of integrals to evaluate ç1 0 10−2x^2dx

Calculus
1. Evaluate the following integrals (a) 􏰀 4x2 +6x−12 / x3 − 4x dx

Calculus
Evaluate the following integrals. Show all the steps in your calculation. a. ç_0^2(3x^3 - x^2 + 2)dx b. ç_0^1(e^2x - x^2)dx c. ç1/(x+3)dx

Calculus
Find the biggest value of c that satisfy the Mean Value Theorem for integrals for f(x)= 1/(x+1)^6 on the interval [0,7]

Calculus
I need help with integrals and I need help with the problem. Integral of 4/sqrt(x)dx

Calculus
Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the given interval. f(x) = 4√x [4, 9]

calculus
Evaluate the following integrals using the given substitutions. (a) (3x^2 + 10x)dx/(x^3 + 5x^2 + 18 , substitution u = x3 + 5x2 + 18; (b)(14x + 4)cos(7x^2 + 4x)dx,substitution u = 7x^2 + 4x.

Calculus (math)
Consider the area between the graphs x+3y=35 and x+5=y2. This area can be computed in two different ways using integrals

Math - Factors
What are improper factors? How do we find improper factors for any given numbers?

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 converges CONFUSE: how would...

calculus
It is known that if m <= f(x) <= M for a <= x <= b, then the following property of integrals is true. m(b-a) <= int_a^b f(x)dx <= M(b-a) Use this property to estimate the value of the given integral. ? <= int_0^3 3/(1+x^2)dx 2 <= ? solve for the ?

Calculus (Integrals)
Evaluate the following expression: d/dx (integration sign: upper=1 and lower= -3) (2t^3 + 3)dt = I am given the following options: 2t^3 + 3 56 5 -28.0 None of the above

Calculus
Determine if the Mean Value Theorem for Integrals applies to the function f(x) = 5 - x^2 on the interval 0 to sqrt 5 . If so, find the x-coordinates of the point(s) guaranteed by the theorem.

Calculus (Definite Integrals - Arclength)
Using the trapezoid rule with n = 8 to approximate the arc length of the graph of y = 2x^3 - 2x + 1 from A(0,1) to B(2,13) you get (to three decimal places): A.) 6.900 B.) 13.896 C.) 14.093 D.) 13.688 E.) 13.697

calculus
prove the following integrals: a)sin3xcos7xdx = -1/20cos(10x)+1/8cos(4x) i know i have asked this question before but i am very confused bobpursley, can you please show me the steps of proves. thanks in advanced

Calculus
Hello, Tutors! I am struggling on how to do problems related to finding the volume using integrals. Could you please help me? Any easy-to understand resources? Thank You for all your help. I am thankful for you tutors!!!!!!!

Calculus
There is this improper integral problem I've been given. I've completed most of it but still don't understand what I'd get, I don't quite get what it means to go from 'e' to 'infity'. What would I get? -ln(x)+1/x from 'e' to 'infinity' + -1/x from 'e' to 'infinity'.

calculus
For large values of n, the Riemann sum 1/n(sin0 + (pi/2n) + sin(2pi/2n) +sin(3pi/2n)+...sin((n-1)pi/2n)) is an approximation for which of the following integrals?

Cal
consider the area between the graphs x+3y=1 and x+9=y^2. this area can be computed in two different ways using integrals. First of all it can be computed as a sum of two integrals where a=,b=,c= and f(x0= and g(x)=. Alterntaively this area can be computed as a single integral

Cal
consider the area between the graphs x+3y=1 and x+9=y^2. this area can be computed in two different ways using integrals. First of all it can be computed as a sum of two integrals where a=,b=,c= and f(x0= and g(x)=. Alterntaively this area can be computed as a single integral

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

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

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!

CALCULUS 2!!! PLEASE HELP!!
I'm having trouble with this question on arc length: y=lnx, (squareroot)3/3 greater than or equal to x less than or equal to 1 It sounds as if you want the length of the y = ln x curve from x = sqrt(3)/3 (0.57735..) to 1. The formula for the arc length of a line y(x) is Length...

improper integral
can any one explain how to evaluate this improper integral i.e. the function is not continuous at 0 neither at inf integration of [(e^(-sqrt(t)))/sqrt(t)]dt from 0 to infinity the integration part is easy but i want only how to evaluate it thanks

math
Change the number sixteen to an improper fraction Change the number twenty-eight hundredths written as an improper fraction, decimal, and mixed number.

Calculus (integrals)
Use the following formula for the sum of the cubes of the first integers to evaluate the limit in part (a). 1**3+2**3+...+n**3=((n(n+1))/2)**2 (a)lim n approaches infinity and the sum of n (top) and i=1 (bottom) with (3i/n)^3*(3/n) I don't know how to solve this, can you help ...

Calculus
How do I solve this problem without integrals or derivatives? Find the distance traveled in 14 seconds by an object that is moving with a velocity of v(t) = 11 + 6cos t feet per second. A. 154.8204 B. 156.1704 C. 159.9436

Calculus
integral of cscx^(2/3)(cot^3)x i know that cot^2x is csc^2(x)-1, but i just don't understand how to solve the cscx^(2/3), any help? i also know that its trig integrals/substitution...

math
what is the fraction 26/39 in simplist form. What is the least common denominator of 2/9 and 5/6. What is six 2/3 as an improper fraction. six 3/7 as a improper fraction. 2/25 and 24/100 as a percent. write .26 and .35 as a fraction. 2/20 as a percent

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