JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \sqrt[3]{x}\left(1+\sqrt[3]{x^4}\right)^{1 / 7} d x=\alpha\left(1+\sqrt[3]{x^4}\right)^\beta+c

, then

\alpha+\beta^{-1}

View answer and explanation

Correct option: D

\frac{49}{32}

Option D (

\frac{49}{32}

) is correct because after evaluating the integral and comparing coefficients,

\alpha+\beta^{-1}

equals this value.

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