anonymous
  • anonymous
How to find this integral?
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
\[\int\limits_{}^{} x^3 * e^{-4x^2} dx\]
anonymous
  • anonymous
I tried IBP but the integral seemed to get more complex.
anonymous
  • anonymous
Only did Integration By Parts once.

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

amoodarya
  • amoodarya
\[u=-4x^2\\du=-8xdx \rightarrow xdx=\frac{ -1 }{ 8 }du\\x^3e^{-4x^2}dx=x^2*e^{-4x^2}(xdx)=\frac{-1}{4}u*e^u*(\frac{ -1 }{ 8 }du)=\\\frac{1}{32}ue^udu\] now do , integration by part
anonymous
  • anonymous
Another easy way, everytime you have an algebraic expression (like \[x^{n}\] times something
amoodarya
  • amoodarya
\[\int\limits\frac{ 1 }{ 32 }ue^udu=\frac{ 1 }{ 32 }\int\limits ue^udu=\\\]
amoodarya
  • amoodarya
can you go on , from there ?
anonymous
  • anonymous
Yes, thank you! So you have to put everything in terms of u and make the equation easier to simplify... :)

Looking for something else?

Not the answer you are looking for? Search for more explanations.