Question

For each pair of definite integrals in exercise 13-18 decide which if either is larger without computing the integrals

$\pi {\int }_0^2{x}^{4}dxand\pi {\int }_0^{4}ydy$

Short answer

The second integral is bigger.

Step-by-step solution

Given information

We are given two integrals$\pi {\int }_0^2{x}^{4}dxand\pi {\int }_0^{4}ydy$

Explianation

On evaluating we get that the denominator of the first term is bigger than the second hence the second term is bigger than first