Question

if h(x)=x^99+x then find integration of h(x) over -b to b without finding antiderivative.​

Answer 1

h(x) = x^99 + x
h(-x) = (- x)^99 - x
= - x^99 - x
= - h(x)
This implies h(x) is odd function
Therefore, required integral is 0