# Math Help - intergrate: cos theta sine^6 theta

1. ## intergrate: cos theta sine^6 theta

Im still trying to wrap my head around the last one. But heres another im having trouble with : cos theta sine^6 theta

2. Originally Posted by dangerous_dave
Im still trying to wrap my head around the last one. But heres another im having trouble with : cos theta sine^6 theta
Again, make a substitution $u=sin\theta \rightarrow du=cos\theta d\theta$. Substitute into the integral and you will now have:

$\int u^6 \,du$.

Integrate from here and substitute u back in and then you'll have your answer! Hope this helped you out!

3. Originally Posted by dangerous_dave
Im still trying to wrap my head around the last one. But heres another im having trouble with : cos theta sine^6 theta
Alternatively $\int\cos(x)\sin^6(x)dx=\frac{1}{7}\int\bigg(\sin^7 (x)\bigg)'dx$

4. Thank you