Let f ( x ) = ∫ 0 1 ( x t ) 2 d t , ‌ ‌ ‌ and ‌ ‌ ‌ g ( x ) = ∫ 0 x t 2 d t . Let A 0 . Which of the following statements is true?

Question

Let f ( x ) = ∫ 0 1 ( x t ) 2 d t , ‌ ‌ ‌ and ‌ ‌ ‌ g ( x ) = ∫ 0 x t 2 d t . Let A > 0 . Which of the following statements is true?

Examsnet · Accepted Answer

Correct Answer is : f(g(A)) is always bigger than g(f(A)).

Oxford University MAT 2015 Solved Papers