Question

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

Answer 1

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

Answer 2

pellet son thats a convenient cheater box u got there

Answer 3

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

Answer 4

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

Answer 5

oh wow thats embarrassing

Answer 6

lol

Answer 7

ok one more

Answer 8

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