JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

The equation of a curve passing through the point

(0,1)

be given by

y=\int x^2 \cdot e^{x^3} d x

. If the equation of the curve be written in the form

x=f(y)

, then

f(y)=

View answer and explanation

Correct option: B

\sqrt[3]{\log _e(3 y-2)}

Option B is correct because it involves solving the integral, applying the initial condition, and then finding the inverse function.

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