Question$\int \cos ^{4} \theta \sin ^{3} \theta d \theta$

Studdy Solution
Substitute back $u = \cos \theta$ into the integrated expressions:
$-\frac{\cos^5 \theta}{5} + C_1 - \left(-\frac{\cos^7 \theta}{7} + C_2\right)$
Combine the constants:
$-\frac{\cos^5 \theta}{5} + \frac{\cos^7 \theta}{7} + C$
The final result of the integral is:
$\boxed{-\frac{\cos^5 \theta}{5} + \frac{\cos^7 \theta}{7} + C}$