At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Explore in-depth answers to your questions from a knowledgeable community of experts across different fields. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

integral of (8xe^8x)

Sagot :

Integration by parts
Integral(udv)=uv-integral(duv)
In this case we will make u=x and dv=8e^(8x) so du=1 and v=e^(8x)
Now integral(8xe^(8x)) => xe^(8x) - integral(e^(8x)) => xe^(8x) - e^(8x)/8 => (e^(8x))(x-1/8)
Final answer:
(E^(8x))(x-1/8) + some constant C
Hope I helped :)