∫ 0 b − c f ′ ( x + a ) d x =

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Question: Answered & Verified by Expert

$\int_0^{b-c} f^{\prime}(x+a) d x=$

MathematicsDefinite IntegrationJEE Main

Options:

A $f^{\prime}(a)-f^{\prime}(b)$
B $f^{\prime}(b-c+a)-f^{\prime}(a)$
C $f^{\prime}(b+c-a)+f^{\prime}(a)$
D None of these

Solution:

2352 Upvotes Verified Answer

The correct answer is: $f^{\prime}(b-c+a)-f^{\prime}(a)$

$\int_0^{b-c} f^{\prime}(x+a) d x=\left[f^{\prime}(x+a)\right]_0^{b-c}=f^{\prime}(b-c+a)-f^{\prime}(a)$

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