Definite-Integration Question 520

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

[SCRA 1990]

Options:

A) $ {f}’(a)-{f}’(b) $

B) $ {f}’(b-c+a)-{f}’(a) $

C) $ {f}’(b+c-a)+{f}’(a) $

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

$ \int_0^{b-c}{f’’(x+a)dx} $ $ =[f’(x+a)]_0^{b-c}=f’(b-c+a)-f’(a) $ .