# Maths - Integration by parts

14,526 results

### Maths - Integration by parts

Integral x^2 sin(x) dx

### Maths -Integration by parts

Intergral square root of x sin(x) dx

### Maths - Integration by parts

Use the partial ractions to find The integral (3x^2-x+2)/(x-1)(x^2+1) dx

### Calculus - Integration by Parts

Please help me solve this integration problem. I don't understand how to do it. Thank you! ∫e^(2x)*sin(2x)dx

### Math - Indefinite Integration

Use integration by parts to solve: I = f (x^3)(e^(x^2)) dx (Let "f" represent the integral) Let u = (e^(x^2)), dx = (1) / (2x(e^(x^2))) du Let dv = x^3, v = (x^4) / (4) I = (1/4)(x^4)(e^(x^2)) - (1/4) f (x^3) (2(e^(x^2))) du ... and now I don't know what to do. I don't know ...

### calc

evaluate the integral: y lny dy i know it's integration by parts but i get confused once you have to do it the second time Leibnitz rule (a.k.a. product rule): d(fg) = f dg + g df y lny dy = d[y^2/2 ln(y)] - y/2 dy ----> Integral of y lny dy = y^2/2 ln(y) - y^2/4 + const. ...

### integration

sqrt2 times e^t times t^(1/2) dt bounded between 0 and 1. i tried integration by parts.. but it keeps repeating.. please help. thank you!

### math

integration by parts - Integration of x^2 ln(x^3+2)

### 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) = (2x+1-1)/(2x+1) = 1-1/(2x+1) B.t.w...

### Maths-Integration by Partial Fraction

Use integration by partial fractions to find Integral (3x^2-x+2)/(x-1)(x^2+1) dx

### Integration

1. [integration] (3x+7sin(x))^2 dx i tried 3 different methods of integration but all of my answers are wrong. 2. [Integration]from 0 to 5 (3w-3)/(w+6)dw i divided the numerator by the denominator and then tried to solve the question but im getting the wrong answer.

### Integration by parts

integrate (e^x-x)^2 dx

### Maths - Integration by Parts

Question 1 ç e^2x Cos(4x) dx Question 2) ç ãx sin(x) dx Question 3) ç x^2 sin(x) dx

### Calculus

xe^x using integration by parts

### calculus

How do you find: the Integral of arcsin(1 / (sqrt x^2 - 1) ) dx ?? (The integral of arcsin of one over the squareroot of x squared minus 1) So far, I've used trig integration to simplify down to arcsin(1/tanb) *secbtanb b is theta Then, I've used integration by parts. But i'm ...

### calculus

The antiderivative of arctan(4t)dt by integration of parts.

### Calculus B

The antiderivative of ln(2x+1) using integration by parts.

### calculus

reverse the order of integration integration 1-e integration 0-lnx dy dx

### Calculus 2

integral of xarctanxdx using integration by parts.

### calculus

INTEGRATION BY PARTS... 1) e^5t sin 3t dt 2) xe^3x dx 3) x sec^2 x dx **anybody can help me for this question?

### calculus

Use integration by parts to find ∫ 2x e-x dx.

### Calculus

Evaluate using Integration by Parts. x^2 cos(3x) dx

### 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 parts again, then I ...

### CALCULUS

USE INTEGRATION BY PARTS TO FIND EACH INTEGRAL ƪxe^2x dx

### Cal

USE INTEGRATION BY PARTS TO FIND EACH INTEGRAL ƪxe^2x dx

### Calculus

Use integration by parts to evaluate the integral xsqrt(2x+6)dx.

### CALCULUS

USE INTEGRATION BY PARTS TO FIND EACH INTEGRAL ƪx^5 Lnx dx

### calculus

USE INTEGRATION BY PARTS TO FIND EACH INTEGRAL ƪãx lnx dx

### brief calc

evaluate the integral using integration by parts 7xe^-x

### Calculus

Use integration by parts to evaluate the definite integral. S 12 x/sqrt of x+4 dx 0

### calculus-integration

integrate -2/xln^4(x)...plz help me..give me an idea on how to start..plz The derivative of the ln(x) function is 1/x and this is multiplying the ln^4(x). You can thus write the integral as: -2 * 1/5 ln^5(x) + constant. is that the answer? wut about the x infront of ln^(x)......

### Calculus

How do I go about integrating sin[x^(1/3)]dx?? I tried doing integration by parts and I'm going in circles.

### Calculus

Use either substitution or integration by parts to evaluate the integral: ∫(x+2)/(x²+2) dx Thank you!!

### Calculus

How do I integrate (x^2)(e^(x^3)) dx? I think it is integration by parts but after trying that, I got confused?

### cal

USE INTEGRATION BY PARTS TO FIND EACH INTEGRAL ƪsquare rootx lnx dx

### Calculus II

the gamma function r(x) is defined by r(x)= integral from 0 to infinity of x^n-1(e^-1)dx where n>0. Use integration by parts to show that r(n+1)=nr(n).

### Competetion help on Integration

If there four options are given to a Defenite Integration then what shortcut trick we should choose to get the correct answer. Like in Indefinte Integration we find the differtation of the answer to reach the function given to integrate. You can try to eliminate some answers ...

### Calculus

How do I evaluate this integral: x^9cos(x^5)dx Hint: First make a substitution and then use integration by parts.

### Math Integration

i keep getting stuck and i think im missing something integrate by parts e^(bx) cos x dx thanks

### calculus

How do I integrate x(arctanx) dx? Is it some sort of integration by parts? Can you please show steps? Thanks in advance!

### culteral Diversity

In Milton Gorton's theory of assimilation, the crucial step is from a. Integration to acculteration b. Acculteration to integration c. Assimilation to plurism d. Anglo-conformity to the melting pot e. Integration to intermarriage

### calculus

how to take the integral of cos(square root of x) dx. need to use substitution and integration by parts but I don't know what to substitute

### Calculus

Use integration by parts to find the given integral: ∫_9^1 (7t - 42)e^(7 - t) = [-28(1 + e^8)] / e^2 Is my answer correct? or... is it.. = -70e^(-2) + 14e^6

### calculus

The following definite integral can be evaluated by subtracting F(B) - F(A), where F(B) and F(A) are found from substituting the limits of integration. \int_{0}^{4} \frac{1600 x +1200 }{(2 x^2 +3 x +1)^5}dx After substitution, the upper limit of integration (B) is : and the ...

### Maths

what is the integration of dx/Cos^4(x)

### maths

use an iterated integral to find area of region bounded by graphs sin(x) and cos(x) between x=pi/4 and x=5*pi/4 but using HORIZONTAL strips.(i.e dxdy is order of integration for the double integral). it has been suggested by a textbook that this is a formidable task. easy ...

### maths

Split 597 into three parts such that these are in A.P. and the product of the two smallest parts is 796.

### Calculus

Use integration by parts to find the integral. Round the answer to two decimal places if necessary. (x+4)^ln x dx between 3 and 0

### calculus

Use integration by parts to evaluate the definite integral. Intergral: xsec^2(6x) dx I set u=sec^2(6x) and dv=x, but the problems seems to get harder as I go on.

### chemistry

The urine of horses are mixed with an excess of hydrochloric acid, after some time, a yellowish-brown crystalline precipitate, which have an unpleasant odor, that can't be removed by simply washing with water. This new compound has the following composition (parts by mass): ...

### Maths- Integration by partial fractions

Integral (3x^2-x+2)/(x-1)(x^2+1) dx

### Calculus

I need help solving the integral of t * e^-3t dt I know that I have to solve using integration by parts and so I've let u=t to rid of dt and dv=e^-3t which I believe would yield -(1/3) * e^-3t as v. Am I doing this correctly? Thanks. I appreciate the help. (:

### 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)] dx = ln(2x+1)x- s (2x/2x+1) dx = ln(2x+1)x- s [(2x+1-1)/(2x+1)] ... i'm confused about why there is a minus 1 after the integral

### math

Use integration by parts to verify |(from -pi to +pi)cosmxcosnxdx = pi when m=n and |(from -pi to +pi)cosmxcosnxdx = 0 when m and n are not equal.

### Calculus II

Evaluate the integral using method of integration by parts: (integral sign)(e^(2x))sin(5x)dx

### Calculus B

The Antiderivative of: x(arctanx)dx It's clearly integration by parts with u=arctanx and dv=x, but after that I go down hill. HELP!

### Mathematics-Integration

How do we integrate {[1/(√(1-x^2) )]*[ln|(2x+3)(√(1-x^2))] } ? Is there any suitable substitution or do we have to do this by parts? I don't have any idea to proceed on.

### Quick Calc Question

I can't remember how to integrate ye^ey with respect to y. Is it (y^2)e^xy? or do i need to do integration by parts? i just cant remember.

### antiderivative

i need help with finding anti derivative of -2xe^x +y-6x^2 dx so i use the integration by parts to solve for -2xe^x?

### Calculus

First make a substitution and then use integration by parts to evaluate. The integral of (x)(ln(x+3))dx What do you substitute first?

### maths

integration of upperlimit 1and lower limit -1 the function 2x+3/(x^3=3x +4)dx

### Calc

Use integration by parts to evaluate the integral. ∫ from 1 to 4 of (√x) (ln√x) dx Im not really sure what to choose for u and dv. Thank you so much for the help!!

### Stats: Joint Density Function

Let the joint density function of X and Ybe given by: f(x)={kxy^2 for 0<x<y<1 (0 otherwise what is the value of k? Can someone please help me with this? The formula I used was: ))kxy^2 dx dy (where )) is double integration both from 0 to 1). I worked it out (I think) ...

### Maths - Integration

Find the exact value of the intergal with limits 1 and 0 respectively for the x^2 e^2x dx.

### Calculus

First make a substitution and then use integration by parts to evaluate. The integral of (x^9)(cos(x^5))dx What do you substitute first? I do not understand what they are asking for. Please help. thanks!

### Calculus

First make a substitution and then use integration by parts to evaluate. The integral of (x^9)(cos(x^5))dx What do you substitute first? I do not understand what they are asking for. Please help. thanks!

### 3rd grade

alice folded a piece of paper into 12 equal squares and colored them. She had 3 times as many red parts as green parts and 2 more yellow parts than blue parts. How many parts did she have of eeach color?

### Calc ..basic integration

I forgto how to integrate...its been to long. integration(Sqrt(1+2t^2+t^4))

### math(easy integration)

find the integration of absolute x from -4 to 2? could anyone show me the way to get 10? thanks

### AP Calc B/C

the integration of (e^x)/(1-E^2x)^3/2 with respect to x We are currently doing integration by tables, but I can't find the formula that I should use!

### math

use integration by parts to prove the following reduction formula: |cos^nx dx =1/n cos^(n-1)xsinx +(n-1)/n |cos(n-2)xdx

### Calculus

I have to use integration by parts to integrate tan^-1 (1/x)dx. I'm not sure what to use as u or dv. We were taught to use uv-integral of (vdu) to do this.

### Child development

Refers to breaking down complex skills into their component parts? A. Differentiation b. integration c. Motor skills d. Locomotion I am think b but am not sure if it right.

### Maths

Integration By substitution ive been given this equation int x^2(x^3-6)^3 dx using u = x^3 -6 but i don't understand how to do it please help

### maths

Integration by substitution ive been given this equation int x^2(x^3-6)^3 dx using u = x^3 -6 but i don't understand how to do it please help

### Calculus Problem

I need to find the integral of e^(2x)sin(3x) I used integration by parts and I let u=e^2x and dv=sin(3x) My final answer was (-3/8)(e^(2x))(cos(3x)) - (1/8)(e^(2x))(sin(3x)) but it's wrong. Please help!!

### Maths (Integration)

Integrate(1+x/x^3)dx Don't know how to go bout this, if the numerator was a whole number it would ve been easier for me, Pls help me out.

### Calc

evaluate the indefinite integral: x^13(cos(x^7))dx I've tried using integration by parts but I haven't ssem to be getting the right answer. I've used u=x^13 and dv=cos(x^7) and vice versa... much help is appreciated

### Calculus

"Evaluate the following indefinite integral using integration by parts: *integral sign* tan^-1(x) dx" I let u = tan^-1(x) and dv = dx. Is that right?

### anti derivative

please help me find anti derivative of -sinx * cos^2x am i using integration by parts?

### Calculus II

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

### Science

Why is it rare for the soft parts of an organism to become a fossil? A. the soft parts take a long time to decay. B. the soft parts can be eaten by other animals.* C. the soft parts cannot be buried in sediment. D. the soft parts form petrified fossils.

### Statistics

A bin of 35 manufactured parts contains 6 defective parts and 29 non-defective parts. A sample of size 5 parts is selected from 35 parts. Selected parts are not replaced. How many different samples are there of size five that contain exactly 2 defective parts? What is the ...

### Calc

First make an appropriate substitution and then use integration by parts to evaluate the indefinite integrals: ∫ sinx cos³x e^(1-sin²x) dx I was going to substitute u= 1 - sin²x, but then i got du = ½ sinxcosx - ½ xdx, so im stuck. Thank you so much!!

### integrate

how do i integrate 2u du /u-2+2u^2 so i used subsitution rule? or can i used integration by parts and how? thanks in adnvace

### Integration

ç e^ãx / ãx dx Your symbols are not legible. Please retype using normal keyboard characters Integration of e^radicalx / radicalx dx

### Organic Chemistry

(i can't upload an image so i have to explain the spectrum) My spectrum has peaks at 0.85 ppm (integration = 1.49) 1.2 ppm (integration = 7.93) 1.5 ppm (integration = 1.11) 3.6 ppm (integration = 1) the only one that shows clear peaks is the one at 3.6 ppm, which appears to be...

### AP Calculus BC

Hi! Thank you very much for your help--- I'm not sure what the answer to this is; how do I solve? Find antiderivative of (1/(x^2))[sec(1/x)][tan(1/x)]dx I did integration by parts and got to (1/(x^2))[sec(1/x)] + 2*[antiderivative of (1/(x^3))(sec(1/x))dx]

### MATHS-PARABOLA

using integration find the area of the region enclosed between the circle x^2+y^2=16 and the parabola y^2 = 6x

### Maths

find the area of equilateral triangle with measure of side area a,b, c by using multiple double integration

### integration i need

integration i need help integrate:(1-e^x)^5/e^4x..plz show full working

### calculus

The figure shows the region bounded by the x-axis and the graph of . Use Formulas (42) and (43)-which are derived by integration by parts-to find (a) the area of this region; (b) the volume obtained by revolving this region around the y-axis.

### Differential Equations!

I'm struggling solving this separable differential equations: (du/dv) = ((uv+u)/(uv+v)) I multiplied both sides by dv to get on the left side just du and cancel out dv, but after that don't know where to go. I've tried integration by parts but it doesn't look right! Any help ...

### calculus

integration by parts: 1. e^(sqrt(3x+9)) 2. sin(lr) are the answers: 1. 2e^(sqrt(3x+9))(sqrt(3x+9)-1) + C 2. -r cos(lnr) + sin(lr) + C

### math

integration by parts: 1. e^(sqrt(3x+9)) 2. sin(lr) are the answers: 1. 2e^(sqrt(3x+9))(sqrt(3x+9)-1) + C 2. -r cos(lnr) + sin(lr) + C

### math

I'm trying to find the convolution f*g where f(t)=g(t)=sin(t). I set up the integral and proceed to do integration by parts twice, but it keeps working out to 0=0 or sin(t)=sin(t). How am I supposed to approach it? integral (sin(u)sin(t-u)) du from 0 to t.

### Calculus

Use integration by parts to find the integral. Round the answer to two decimal places if necessary. (x+4) ln x dx between 3 and 0. I tried this problem two different ways and got two different answers 1.63 and 3.89. which one is correct? Please.

### Math (Integrals) (Basic Integration)

I am given two integrals a and b a) ∫ 1/(1 + x^4) dx b) ∫ x/(1 + x^4) dx The main difference between the two integrals appears to be the "1" and "x" on the numerators. While they both resembles closely to the basic integration of arctan: ∫ du/(a^2 + u^2) = 1/a * arctan(u...

### Mathematics

A machine takes 4.2 hours to make 7 parts. At that rate, how many parts can the machine make in 28.8 hours 48 parts 41 parts 172 parts 17 parts

### Math

I need help not sure if I'm doing this correctly. Parts of parts: Find each of the following parts of parts without drawing a diagram for each problem explained clearly A) 2/3 of 2/7 I think it's 4/15 because your multiplying. B) 6/11 × 2/7 I think it's 12/77 your multiplying...