JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

y=f(x)

be an invertible function with inverse

g

and

h(x)=x f(x)

, then

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

is equal to

View answer and explanation

Correct option: B

h(b)-h(a)

Option B (h(b)-h(a)) is correct because after substitution and integration by parts, the expression simplifies to this.

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