JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\phi(x)=\int\limits_{{1 / x}}^{\sqrt{x}} \sin \left(t^2\right) \, d t

, then

\phi^{\prime}(1)

is equal to

View answer and explanation

Correct option: C

(3 / 2) \sin 1

Option C (

(3 / 2) \sin 1

) is correct because it is the result of applying Leibniz's rule for differentiating an integral with variable limits.

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