_0^ b - c , ,f''(x + a) ,dx = - Vidyadip

MCQ

$\int_0^{b - c} {\,\,f''(x + a)\,dx = } $

A
$f'(a) - f'(b)$
✓
$f'(b - c + a) - f'(a)$
C
$f'(b + c - a) + f'(a)$
D
None of these

✓

Answer

Correct option: B.

$f'(b - c + a) - f'(a)$

b
(b) $\int_{0}^{b-c}{f''(x+a)dx}$

$ = [f'(x + a)]_0^{b - c} = f'(b - c + a) - f'(a)$.

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