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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)

be a twice differentiable function defined on

(-\infty, \infty)

such that

f(x) = f(2 - x)

and

f'\left(\frac{1}{2}\right) = f'\left(\frac{1}{4}\right) = 0

. Then

\int_0^2 f(1 - t) e^{\cos \pi t} dt - \int_0^2 f(2 - t) e^{\cos \pi t} dt

is equal to :

Options

A $\int_0^2 f'(t) e^{\cos \pi t} dt$
B1
C2
D $\pi$

Correct answer

A. $\int_0^2 f'(t) e^{\cos \pi t} dt$

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