JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

f(x)=\int\limits_{{x^2}}^{x^4} \sin \sqrt{t} \,d t

, then

f^{\prime}(x)

equals

View answer and explanation

Correct option: B

4 x^3 \sin x^2-2 x \sin x

Option B (

4 x^3 \sin x^2-2 x \sin x

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

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