1. Tardigrade
  2. Question
  3. Mathematics
  4. Let y =f( x ) be a differentiable curve satisfying ∫ limits2 x f( t ) dt =( x 2/2)+∫ limits x 2 t 2 f( t ) dt, then ∫ limits-π / 4π / 4 (f( x )+ x 9- x 3+ x +1/ cos 2 x ) dx equals -

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Q. Let $y =f( x )$ be a differentiable curve satisfying $\int\limits_2^{ x } f( t ) dt =\frac{ x ^2}{2}+\int\limits_{ x }^2 t ^2 f( t ) dt$, then $\int\limits_{-\pi / 4}^{\pi / 4} \frac{f( x )+ x ^9- x ^3+ x +1}{\cos ^2 x } dx$ equals -

Integrals

Solution:

Correct answer is (c) 2