## anonymous 4 years ago integral of sec^4 x * cos^2x * tan ^7x dx tired and brain dead someone do it for me plz

1. anonymous

if you want an answer try http://www.wolframalpha.com/input/?i=sec^4+x+*+cos^2x+*+tan+^7x+dx

2. anonymous

pellet son thats a convenient cheater box u got there

3. anonymous

but you see it is simple answer and that is because $\sec^4(x)\times \cos^2(x)=\frac{\cos^2(x)}{\cos^4(x)}=\sec^2(x)$

4. anonymous

so really you just have $\int\tan^7(x)\sec^2(x)dx$ and a simple u -sub gives it in one step

5. anonymous

oh wow thats embarrassing

6. anonymous

lol

7. anonymous

ok one more

8. anonymous

right circular cylinder is inscribed in a cone with height h and base radius r Find the largest possible volume of such a cylinder