integral of inverse root(8x+x^2)
8,360 results
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

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
evaluate the integral of dx/square root of 98xx^2

Calculus
Which of the following integrals cannot be evaluated using a simple substitution? the integral of the square root of the quantity x minus 1, dx the integral of the quotient of 1 and the square root of the quantity 1 minus x squared, dx the integral of the

inverse
If f(x)=cosx + 3 how do I find f inverse(1)? Thanks y = cos(x) + 3 the inverse of this is x = cos(y) + 3 solve for y and you have your inverse The cos function only has a range of [1,1], so the range of f(x) is [2,4]. this means f inverse of 1 doesn't

Algebra
what is the inverse of the linear parent function? How would you graph the inverse and what are the values for the inverse???

help riemann sums
the expression 1/50 (1/50 +2/50+ 3/50+ .....50/50)is a Reimann sum approximation for (everything in the parantheses is square root except the 1/50 outside the paratheses) the answer has to me the integral form so from looking at the formula in my book i

Calculus
Evaluate the integral: the integral of the cube root of x, dx. a. (3/4)x^(4/3)+C b. (3/2)x^(2/3)+C c. 1/(3x^(2/3))+C d. None of these I got (3x^(4/3)/4)+C. I was wondering if it would be D.

College Algebra
I need some help with a handful of questions. I need to see the steps on how to get to the final answers. I would also appreciate if you can explain how you got to those steps. Rationalize each expression by building perfect nth root factors for each

Algebra
Rationalize each expression by building perfect nth root factors for each denominator. Assume all variables represent positive quantities. I don’t understand how to compute these. Also I don’t have the square root sign so I typed it out where it would

Calculus 1 Integration Trig Inverse
integral of (4/(x times the square root of (x^21)) + (1+x+x^3)/(1+x^2)dx

Calculus check
The functions f and g are given by f(x)=sqrt(x^3) and g(x)=162x. Let R be the region bounded by the xaxis and the graphs of f and g. A. Find the area of R. B. The region R from x=0 to x=4 is rotated about the line x=4. Write, but do not evaluate, an

Pre Calculus
Inverse functions what is the inverse function of f(x)=1/square root of x +1? and f(x)=1x^2, x

PreCalc
Does y=1/x have an inverse? It is a onetoone function, so it should be the inverse equation is the same??? yes, the inverse is the same. Check it with G(f(x)) So, when drawing the inverse, it is just the same graph?

Calculus  Integration
Hello! I really don't think I am understanding my calc hw. Please help me fix my errors. Thank you! 1. integral from 0 to pi/4 of (tanx^2)(secx^4)dx It says u = tan x to substitute So if I use u = tan x, then my du = secx^2 then I have integral of (u^2)

Math simplifying mixed radicals
Please help me simplify these following mixed radicals:: and show me how you did it cause I need to learn : I don't know how to type a square root sign so I just wrote square root and the numbers infront of the square root are supposed to be multiplied. 2

Inverese of function
f(x)=x^4 3, g(x)=4th square root x3, h(x)=x^4 + 3 Would the inverse be g(x) and h(x)

Calculus
Let F of x equals the integral from 1 to 3 times x of the natural logarithm of t squared. Use your calculator to find F″(1). A. 12 B. 6 C. 4 D. 1/9 Find the range of the function f of x equals the integral from 0 to x of the square root of the quantity

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
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

Math
Rationalize the denominator. Assume that all expressions under radicals represent positive numbers. The square root of 3y^4 to the third root divided by the square root of 15x^4 to the third root. Here is what I have so far: I multiplied. The square root

inverse
my question was: find f^1 (x). (this is asking me to find the inverse) f(x) = (x2)^2, x > and you answered: If f(x)=(x2)^2 x

math
integral of inverse root(8x+x^2)

Math
Integral of (1/root over 1x^2)*(1/inverse of sin x*dx) .what is the value?

Calculus
Find the exact area of the region enclosed by the square root of (x) + the square root of (y) is = 1; x = 0 and y = 0. I moved the first equation around to get: y = [1 the square root of (x) ] ^2 Unfortunately, this gives me bounds from 1 to 1. So I'm

calculus
how do you solve the integral of 1/[(square root of x)(lnx)] from 2 to infinity? i did the p integral theorem with 1/square root of x and got it to be a divergent integral. however i was told this was the wrong way and that i should do it by integration

Calculus
Hello Everyone, I need help with Calc II. 1. Integral from 0 to 1 of (sin(3*pi*t))dt For this one, I got 1/3pi cos (9 pi^2) + 1/3pi 2. indefinite integral of sinxcos(cosx)dx I got sin(cosx) + C 3. Indefinite integral of x over (root (1x^4))dx I don't

Algebra 2
Ok, so I'm trying to find the inverse of each function. We're learning about Inverse Functions and Relations. The problem is f(x)=sqr.root of x/6 The sqr root is confusing me.

Math
Find the zero of f(x) = (2^x1)(3^x+1). x = (ln2 + ln3)/(ln2  ln3) x = (ln2  ln3)/(ln2 + ln3) x = 2/(ln2  ln3) x =  (ln5/ln1) I can't figure this out. Solve log(27)(log(x)10) = 1/3 for x. x = (3(inverse)sqrt90)/3 x = 10(inverse)sqrt3 x =

Quick calc question
Which of the following integrals cannot be evaluated using a simple substitution? the integral of the square root of the quantity x minus 1, dx the integral of the quotient of 1 and the square root of the quantity 1 minus x squared, dx the integral of the

Calculus
Which of the following integrals cannot be evaluated using a simple substitution? the integral of the square root of the quantity x minus 1, dx the integral of the quotient of 1 and the square root of the quantity 1 minus x squared, dx the integral of the

math
Evaluate tan (inverse cosine of 2/3). a. square root of 5 divided by 2 b. square root of 5 divided by 3 c. square root of 5 divided by 5 I have a feeling that the answer would be a but what i am confused about is how do we figure out what the value is for

algebra
1)Write the expression 9n^6+7n^36 in quadratic form,if possible A.9(n^3)^3+7n^36 B.9(n^2)^3+7(n^2)6 C.9(n^3)^2+7(n^3)6 D.not possible I'm thinking C on this one but im not sure 2)solve b^4+2b^224=0 A.2,square root of 6,square root of 6,2 B.square

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

math help1
Okay I am a little bit confused about one math question can you please Help me out? There is two parts but I already finished part a just stuck on part b Okay so part a. draw the reflection of f(x) = (square root X2) in the Line y=X Okay I understand that

find dy/ds
y = s*square root of(1s^2) + cos inverse(s) Just give me some hints and I will do it. Thanks. You have y = s*square root of(1s^2) + cos inverse(s) which I would write as y = s*sqrt(1s2) + cos1(s) and you want dy/ds For the first term use the product

calculus
Find the solution to the differential equation dy/dx = (x^3)/(y^2), where y(2) = 3 I have: The integral of: dy(y^2) = the integral of: dx(x^3) (y^3)/3 = (x^4)/4 The answer is supposed to come out to be y= the cube root of: ( 3/4x + 15 ) Thanks The general

Calc
Use substitution to evaluate the indefinite integral: The integral of [ (sq. root (1 + ln x)) ((ln x)/x) dx] Im confused on what i should substitute u and du for. Thank you so much!!

Calculus
I'm having some issues with computing this indefinite integral. I don't know how to even begin. Please help! (let S be the symbol for the integral) S (square root (x)+e^3x) dx

mathematics
calculate the following integral: Perform a change of variable and integrate the following elliptical integral I = Square root [(1x^2)*(2x)] limits between 1 to 1 please showing any working

Calculus
Evaluate the integral. The integral from 0 to the square root of 2 over 2 of the function 8/sq. rt.(1t^2)

Calculus
Evaluate the integral. The integral from the square root of three over three to the square root of three of the function 6/(t^2+1)

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...need help
Prove that the integral 1/root(ax^2+bx+c)dx=1/root(a)n(2ax+b+2root(a(ax^2+bx+c)]+k....please i don,t no it

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

AlgebraOne to one function
Could you please check my answers and help me with one of them? Find the inverse of the one to one function 1. f(x)4x+7 I got f^1(x)=x7/(4) 2. f(x)= square root of x8 I got f^1(x)=x^28 3. f(x)=4/(5x1) This one I don't understand how to find the

Advanced Algebra
What is the inverse of each of the functions defined by the following equations, if the inverse exists. If the inverse does not exist for the largest possible domain, limit the domain so that the inverse will exist. In each case, give the domain and range

math
Direct vs. Inverse Variation Also this one: You purchase a new SUV; as age increases, the resale price decreases. I believe this would be inverse, but the answer packet says neither direct nor inverse. As I understand inverse, as one value goes up, the

math, calculus
find the derivative of the function y= integral from square root of x, to x cubed of (square root t * sin(t))dt

Calculus
(integral) e^3x dx A. e^3x+C B. 1/3e^3x+C C. e^4x+C D. 1/4e^4x+C Evaluate (integral) dx/(Square root 98xx^2) A. sin^1(x+4/5)+C B. sin^1(x4/5)+C C. Ln(Square root 98xx^2)+C D. Ln(82x)+C

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
Instructions were evaluate the integral. (x/1x^4) dx I know that this form is the tanh inverse 1/1x^2 but not sure how to substitute and start this problem. Please Help.

Calculus
Instructions were evaluate the integral. (x/1x^4) dx I know that this form is the tanh inverse 1/1x^2 but not sure how to substitute and start this problem. Please Help.

algebra
if f(x)=square root of x4 what is f inverse I came up with x^2+16

math
Inverse function f(x)x^71 And I got root(7(x))+1 which is the (7root of x)+1

Calc.
Evaluate the indefinite integral. Please check my work? Not sure if I am doing this correctly. S= integral symbol S x^3*sqrt(x^2 + 1) dx u = x^2+1 x^2= u  1 du = 2xdx du/2 = xdx 1/2 S x^2 * x sqrt (x^2 + 1) du 1/2 S (u  1) * sqrt (u) du multiply square

College Algebra help please
I need some help with a handful of questions. I need to see the steps on how to get to the final answers. I would also appreciate if you can explain how you got to those steps. Rationalize each expression by building perfect nth root factors for each

College Algebra
I need some help with a handful of questions. I need to see the steps on how to get to the final answers. I would also appreciate if you can explain how you got to those steps. Rationalize each expression by building perfect nth root factors for each

calculus
Calculate the following integral: ∫ (square root(9x^2  16)) / x^2 I found: ∫ (square root((3x)^2  (4)^2)) / x^2 x = a sec0 3x = 4 sec0 x = 4/3 sec0 dx = 4/3 sec0tan0 d0 4/3 ∫ [(square root(4sec0)^2  16)(sec0tan0 d0)] / x^2 I'm lost from here and

math
Find the inverse of the function. f (x)=3 square root of 3x34

Calculus
I'd really like some help in solving an integral. ʃ 1/ √x (13√x) In numerator: 1 In denominator: the square root of x times 1 minus 3 times the square root of x The answer given is 2/3 ln l13√xl + C but I don't know how to get there.

Math
What is the integral: 1/root(2xx^2)

Maths
What is the integral of: 1/root(2xx2)

Maths
Integral of 1/root(2xx^2)dx

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

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
Prove that cos(sin inverse x) = square root ( 1x^2)

algebra 2
Find the inverse of each function, if it exists. f(x)=1/3x5 y=1/3x5 x=1/3y5 x5=1/3y y=the square root of x5/3

Math
What is the inverse trig function cotangent of square root of 3/3? What is the value?

Math: Inverse Function (Plz help)
Find the Inverse function of f: f(x)=8+[square root of(8+x)] f^(1)(x)=_______, x>8

calculus
Prove that cos(sin inverse x) = square root ( 1x^2)

maths surds please help and explain
Simplify A.1/root a +2 b.root 18/25 c.root a x cubed root a d.root x + 2 root y/root x2 root y e.root5 x root72 /root 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

Math
Just need some help... Directions: Multiply or raise to the power as indicated... Then simplify the result. Assume all variables represent positive numbers. 1. 5(square root of 6) times twothirds(square root of 15)= 3 onethird (square root of 90)= (This

Calculus AB (AP)
Hi, I have a calculus test tomorrow and I understand how to complete all of the problems, but I am unsure behind the reasoning of taking two derivatives. Can someone please explain the following: 1. g(x)=e^(f(x)) g'(x)=e^(f(x))f'(x) 2. f(x)=Integral from 0

maths
integral of square root of (9u^4 + 4u^2 + 1) = ?

maths
integral of square root of (9u^4+4u^2+1)

math calc
integral of : x^2 square root of (x1)

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

calculus
is this correct? use the integral test to determine if this series is convergent or divergent: the series from n=2 to infinity of 1/(n*square root of (ln(n))) I said it was divergent because the integral went to infinity

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

derivative of y
how to find derivative of y: y = sin inverse(square root of 2t) I got this. Please ignore.

Math
Find inverse of f if f(x)= x^24x+3, (for x is smaller than and equal to 2). First prove that f(x) is one to one in the defined domain of f and then obtain the inverse function. I know how to find the inverse. We just switch x and y. so y=x^24x+3 becomes

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)

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) =

calculus
what is the antiderivative on square root of cosh^2(x)? The square root of cosh^2 x is just cosh x, and the integral (or "antiderivative", if you prefer thet term) of that is sinh x.

Calculus
Evaluate the integral from 0 to 24 of the square root of 9+3x dx.

CALCULUS
difinite integral f(x)=84 cube root3(x) from x=0 to x=8

calc
is the integral of the square root of x*ln(x) =(2/3 x^(3/2))(lnx2/3) ?

calculus
let g(x)=integral x to (1/2) square root (t^3+1)dt .find g'(x)

CALCULUS
difinite integral f(x)=84 cube root3(x) from x=0 to x=8

calc
how to find the integral of this function x^2 * root(x^3+1)

calculus
Evaluate the following integral: (X)(cube root(x+1))dx

calculus
Find the integral. x^4/the square root of (x^51)

Caculus:Integration Inverse Trig
integral of (4/(x times the square root of( x^21)) + (1+x+x^3)/(1+x^2)dx