JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1

\int\limits_{{\sin x}}^1 t^2 f(t) d t=1-\sin x

for all

x \in[0, \pi / 2]

, then

f\left(\frac{1}{\sqrt{3}}\right)=

View answer and explanation

Correct option: A

Option C (3) is correct because differentiating both sides using Leibniz's rule and solving for

f(x)

gives

f(\frac{{1}}{{\sqrt{{3}}}})=3

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