Question

Using u-sub
5csc^2(3t) dt

Answer 1

let u = 3t
du = 3 dt

Answer 2

recall the derivative of tan(x) is csc^2(x)

Answer 3

\[\frac{ 5 }{ 3 } \int\limits \csc ^{2}(u) du\]

Answer 4

dt = 1/3 du

Answer 5

\[\frac{ -5 }{ 3 \tan(u) }\]

sub back in for u = 3x

Answer 6

been a few years since calc 1. haha

Answer 7

Thank you! I understand now (: