Let p= _ a ^ b f(x) ,dx and q= _ a ^ b |f(x)| ,dx. If f(x)=e^ -x , then which one of the following is correct?

NDA 2024 Mathematics question

Let and . If , then which one of the following is correct?

Answer: (D)

for every real , so throughout . Therefore the two integrals are identical: .

Question ID VK-029848