- #1
KingKai
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Homework Statement
Integrate the following using substitution techniques
∫e3tcsc(e3t)cot(e3t) dt
Homework Equations
csc(t) = 1/sin(t)
cot(t) = 1/tan(t)
cot(t) = cos(t)/sin(t)
1 + cot2(t) = csc2(t)
The Attempt at a Solution
∫e3tcsc(e3t)cot(e3t) dt
set u = cot(e3t)
du = (3e3t)(- csc2(e3t)) dt
Make Substitution,
∫e3tcsc(e3t) (u) (1/(3e3t)(- csc2(e3t)) du
Whoops, csc does not cancel out..
My friend told me I had to make TWO substitutions, following this advice my head proceeded to explode.
After recollecting the pieces of my skull fragments and carefully gluing them together again, I posted this question.