# SOLVED: Integration of x(2x-1)^(7) dx by parts

Integral of 1/(1+x^2)
Integral of 1/(1+x^2)

Get 5 free video unlocks on our app with code GOMOBILE

Snapsolve any problem by taking a picture.
Try it in the Numerade app?

Solved step-by-step

Integration of x(2x-1)^(7) dx by parts

Solved by verified expert

This problem has been solved!

Try Numerade free for 7 days

00:58

Using integration by parts.$$\int x e^{x} d x$$

02:58

Using Integration by Parts How can you use integration by parts on an integrand with a single term that does not fit any of the basic integration rules?

04:49

Integration by Parts Integration by parts is based on what formula?

02:43

evaluate using Integration by Parts$$\int x^{2} \cosh x d x$$

01:45

Using integration by parts.$$\int x e^{3 x} d x$$

Transcript

for this problem we want to find the anti derivative of the integral of X times two X minus one race to the seventh power dx. Using integration by parts. Now. In integration by parts. Yeah, assume that this is equal to the integral of U D. V. So if we set u equal to X and DV equal to two X minus one race to the seventh power dx. Then we will get do you equal to dx and V equal to the integral of two X -1. Race to the 7th power. The X. Now this integral of U times DV. This is equal to U V minus the integral of V times D You Now since our V is still in integral form we will use substitution. So let’s say w equal to two X -1. We get dw equal to two dx. Which means that one half dw equals D. X. So then from here we will get V equal to the integral of W. Race to the seventh Power times one half VW. This is equal to 1/2 times w racist. Seven plus one or eighth power over seven plus one or eight. This gives us W which is two X -1. Raised to the 8th power over 16. And so this integral now becomes U…

Enter your parent or guardian’s email address:

Create an account to get free access

or

EMAIL