Could you solve the intergration, ∫x.tan(x)dx?

Question

Update:

Can somebody solve this indefinite integral soon?

Update 2:

Please do not expand tanx as series of x

Answer 1

Favourite answer

Greetings,

Try using the infinite series for tan(x) = x + x^3/3 + 2x^5/15 + ...

x*tan(x) = x^2 + x^4/3 + 2x^6/15 + ...

∫x.tan(x)dx = x^3/3 + x^5/15 + 2x^7/(7*15) + ...

Regards