Definite Integration Question 244
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) $ .