Find the trigonometric integral \int \sin x * \cos^{4} x

shadsiei 2021-10-25 Answered
Find the trigonometric integral sinxcos4xdx
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Expert Answer

likvau
Answered 2021-10-26 Author has 75 answers
Step 1
Consider the integrals:
sinxcos4xdx...(1)
Let, t=cosx
Differentiating   w.r.t.t
dt=sinxdxsinxdx=dt
Step 2
Substitute all value in equation (1) then,
sinxcos4xdx=t4(dt)
=t4dt
=t55+C
Back substitute t=cosx
=15cos5x+C
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