double integral with trig functions

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DeletedUser
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[prisma dawn]

<@&791435371564892232>

[summer leaf]

Can u just integrate the inside bit first then the outside🥸

$$\int_0^{\cos\theta}{rdr} = \frac{\cos^2 \theta}{2}$$

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clarences father

[summer leaf]

Then y can use double angle to reduce the power

Then integrating that is fine

Are you allowed to do that