JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

Let

k(x)

be a continuous function satisfying the equation

\int\limits_{0}^{x^3} k(t) d t=x^{1+x^2}

, find the value of

3 k(1)

View answer and explanation

Correct option: A

Option A (2) is correct because it's derived from evaluating the limit by converting the sum to an integral and then performing integration by parts.

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