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Black Advanced Problems in Mathematics
Exam
Black Advanced Problems in Mathematics
Subject
Mathematics
Chapter
Indefinite and Definite Integration

Black Advanced Problems in Mathematics · Mathematics · Indefinite and Definite Integration

**Paragraph for Question Nos. 3 to 4** Let f(x) be a twice...

**Paragraph for Question Nos. 3 to 4** Let f(x)f(x) be a twice differentiable function defined on (−∞,∞)(-\infty, \infty) such that f(x)=f(2−x)f(x) = f(2 - x) and f′(12)=f′(14)=0f'\left(\frac{1}{2}\right) = f'\left(\frac{1}{4}\right) = 0. Then ∫−11f′(1+x)x2ex2dx\int_{-1}^1 f'(1 + x) x^2 e^{x^2} dx is equal to :

Options

  1. A1
  2. Bπ\pi
  3. C2
  4. D0

Correct answer

D. 0

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