Question

How do you find the area of the region bounded by the graph of `f(x)=x^4` and the `x`-axis on the interval `[-2,2]` ?

Answer 1

In this an integration problem. We need to find the area under the curve `f(x)=x^4` over the interval `-2` to `2`.

`int_-2^2x^4 dx = [x^5/5]_-2^2`

`=[(2)^5/5-(-2)^5/5]=[32/5-(-32)/5]`

`=[32/5+32/5]=[64/5]=12.8`