Q. 17 - Calculus

Question

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

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

Step-by-Step Solution

Answer

The second integral is bigger.

Step 1: Given information

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

Step 2: 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