JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

f^{\prime}(x)=g(x)

for

a \leq x \leq b

then

\int\limits_{a}^b f(x) g(x) \mathrm{d} x

is equal to

View answer and explanation

Correct option: C

\frac{(f(b))^2-(f(a))^2}{2}

Option C (

\frac{(f(b))^2-(f(a))^2}{2}

) is correct because it results from direct integration using the substitution g(x) = f'(x).

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