Question

Let $y=f(x)$ be a differentiable curve satisfying $\underset{2}{\overset{x}{\int }}f(t)dt=\frac{x^2}{2}+\underset{x}{\overset{2}{\int }}{t}^{2}f(t)dt$, then $\underset{-\pi /4}{\overset{\pi /4}{\int }}\frac{f(x)+x^9-x^3+x+1}{{\cos }^{2}x}dx$ equals -

• A. 0
• B. 1
• C. 2
• D. 4

Answer 1

Answer: (C)

Correct answer is (c) 2