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anonymous
 one year ago
How to find this integral?
anonymous
 one year ago
How to find this integral?

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\int\limits_{}^{} x^3 * e^{4x^2} dx\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I tried IBP but the integral seemed to get more complex.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Only did Integration By Parts once.

amoodarya
 one year ago
Best ResponseYou've already chosen the best response.3\[u=4x^2\\du=8xdx \rightarrow xdx=\frac{ 1 }{ 8 }du\\x^3e^{4x^2}dx=x^2*e^{4x^2}(xdx)=\frac{1}{4}u*e^u*(\frac{ 1 }{ 8 }du)=\\\frac{1}{32}ue^udu\] now do , integration by part

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Another easy way, everytime you have an algebraic expression (like \[x^{n}\] times something

amoodarya
 one year ago
Best ResponseYou've already chosen the best response.3\[\int\limits\frac{ 1 }{ 32 }ue^udu=\frac{ 1 }{ 32 }\int\limits ue^udu=\\\]

amoodarya
 one year ago
Best ResponseYou've already chosen the best response.3can you go on , from there ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yes, thank you! So you have to put everything in terms of u and make the equation easier to simplify... :)
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