Question

Evaluate the integral by making the given substitution. (Use ( C ) for the constant of integration.) [ int sin ^{4}( heta) cos ( heta) d heta, quad u=sin ( heta) ] [ frac{sin ( heta)^{5}+C}{5} ]

          Evaluate the integral by making the given substitution. (Use ( C ) for the constant of integration.)
[
int sin ^{4}(	heta) cos (	heta) d 	heta, quad u=sin (	heta)
]
[
frac{sin (	heta)^{5}+C}{5}
]

$Evaluate the integral by making the given substitution. (Use ( C ) for the constant of integration.) [ int sin ^4( heta) cos ( heta) d heta, quad u=sin ( heta) ] [ fracsin ( heta)^5+C5 ]$

Added by Cassie T.

Calculus Early Transcendentals

Howard Anton, Irl Bivens, Stephen Davis 9th Edition

Chapter 7

Instant Answer

Solved by Expert Jason Horton

05/07/2023

Step 1

We are given that $u = \sin(\theta)$. We need to find $du$ in terms of $d\theta$. Taking the derivative of both sides with respect to $\theta$, we get: $\frac{du}{d\theta} = \cos(\theta)$ Now, multiply both sides by $d\theta$: \(du = \cos(\theta) Show more…

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