# Question #bd150

##### 1 Answer

Nov 18, 2016

The integral is equal to

#### Explanation:

Notice that

Odd functions have rotational symmetry about the origin, which means that whatever is in the positive

This should be clear looking at another odd function, like

graph{x^5-4x^3 [-14.24, 14.24, -7.12, 7.12]}

We can use this property of odd functions to surmise the rule that when

This is the case with the given integral, so we can quickly conclude that