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#### find_the_fun

##### Active member

- Feb 1, 2012

- 166

I'm trying to integrate \(\displaystyle \int e^{4\ln{x}}x^2 dx\)

I can't see using u-substition, \(\displaystyle x^2\) isn't the derivative of \(\displaystyle e^{4\ln{x}}\) nor vice-versa.

I tried integrating by parts and that didn't work. I used \(\displaystyle u=e^{4\ln{x}}\) and \(\displaystyle dv=x^2 dx\)

I know I can't rewrite \(\displaystyle e^{4\ln{x}}\) as \(\displaystyle e^4e^\ln{x}\)

I can't see using u-substition, \(\displaystyle x^2\) isn't the derivative of \(\displaystyle e^{4\ln{x}}\) nor vice-versa.

I tried integrating by parts and that didn't work. I used \(\displaystyle u=e^{4\ln{x}}\) and \(\displaystyle dv=x^2 dx\)

I know I can't rewrite \(\displaystyle e^{4\ln{x}}\) as \(\displaystyle e^4e^\ln{x}\)

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