volume of a solid revolution

[matattack]

I am required to find the solid revolution of f(x) tan x from x=-1/6π(pi) to x= 1/3π(pi)

I am aware that the formula to use is pi * integral of f(x)² dx
i am also aware that the integral of tan is sec²x
I do not know how to evaluate sec²1/6pi -sec²-1/3
any help on how to evaluate this would be greatly appreciated

Matatack

 

[srmichael]

I am required to find the solid revolution of f(x) tan x from x=-1/6π(pi) to x= 1/3π(pi)

I am aware that the formula to use is pi * integral of f(x)² dx
i am also aware that the integral of tan is sec²x
I do not know how to evaluate sec²1/6pi -sec²-1/3
any help on how to evaluate this would be greatly appreciated

Matatack

Which line is this rotating around? You left that out.

Also, the integral of tanx is not sec²x. The derivative of tanx is sec²x.

 

[matattack]

sorry the question actually asks to find the volume of the solid of revolution , would I be correct to use 1/aIn(cosax)+c as the integral of tan x
regards
matattack