what's the integral of

Question

π/2

∫ x^2 *(sin x) /(1+ x^6) dx ?

-π/2

note: integration from(-π/2) to (π/2).

Answer 1

The integrand is an odd function, i.e. f(x)=f(-x) i.e. it is antisymmetric.

Therefore, the integral is 0.

If that answer doesn't seem clear, graph the function and it will be clear.