Four students disagree as to the value of the integral integ

Four students disagree as to the value of the integral integral_0^pi sin^8 x dx. Josh says that it is equal to it. Jordan says that it is equal to 35 pi/128. Chad claims it is equal to 3 pi/90 - 1 and Lindsay thinks it is equal to pi/2. One of them is correct. Which one is it? Do not evaluate the integral. Your answer must depend on eliminating the three wrong answers. In order to do this, consider what integral_0^pi dx represents geometrically.

Solution

Solution :