How do I find the anti-derivative of two things that are multiplied together (#4 Bri-Bri)

Question

anonymous · Answer

is one of them the derivative of the other?

anonymous · Answer

right now I have e^-sqrt (u) multiplied by 4u^-1/2

anonymous · Answer

what is the derivative of sqrt(u)?

anonymous · Answer

(anti-derivative?) 2/3u^(3/2)

anonymous · Answer

nope, what is the derivative of sqrt(u)

anonymous · Answer

1/2u^(-1/2)

anonymous · Answer

ignoring the constant, does it look familiar?

anonymous · Answer

it looks like the -sqrt(u) but how does that help me?

anonymous · Answer

you have a function, sqrt(u) and its derivative, 1/2(u^-1/2) present (differs by a constant), that should tell you what to substitute and what its derivative will be.

anonymous · Answer

oh okay I just substituted x but i should substitute sqrt(x) but then don't I still end up with a division/multiplication problem that i have to find the anti-derivative of? do i know how to do that?