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Calculus1 18 Online
OpenStudy (anonymous):

integrate: xe^(x^2)

OpenStudy (bahrom7893):

Hint: u = x^2

OpenStudy (bahrom7893):

What's du?

OpenStudy (anonymous):

du is 2x

OpenStudy (anonymous):

2xdx

OpenStudy (bahrom7893):

correct

OpenStudy (bahrom7893):

you have xdx, u need the 2

OpenStudy (anonymous):

So you put a 2 after the integral, and a 1/2 before the integral?

OpenStudy (bahrom7893):

correct sir

OpenStudy (primeralph):

Still need help?

OpenStudy (anonymous):

Thanks, I ot it. it's 1/2e^x^2

OpenStudy (bahrom7893):

+c

OpenStudy (anonymous):

thanks

OpenStudy (jhannybean):

\begin{align} \int xe^{x^2} &= \text{let} \ u= x^2 \ , \ du = 2xdx \iff \cfrac{du}{2} = xdx \\ &= \cfrac{1}{2} \int e^u du \\ &= \cfrac{1}{2} e^u+c \\ &= \cfrac{1}{2} e^{x^2} +c \end{align}

OpenStudy (jhannybean):

Im not stealing Bah's question, i just practicing formatting.

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