# Math Help - integration problem no.10

1. ## integration problem no.10

integration problem no.10

2. Making the recommended sub, you get:

$5-(5sin^{2}{\theta}+cos^{2}{\theta})=4cos^{2}{\theta }$

$5sin^{2}{\theta}+cos^{2}{\theta}-1=4sin^{2}{\theta}$

$\sqrt{\frac{cos^{2}{\theta}}{sin^{2}{\theta}}}=\sq rt{cot^{2}{\theta}}=cot{\theta}$

$\int{cot{\theta}}d{\theta}$

Don't forget to change your limits of integration.