Indefinite Integration JEE Main 2025

JEE MAIN 2025

03-04-2025 SHIFT-1

Question

Let $f(x) = \int {{x^3}} \sqrt {3 - {x^2}} dx$. If $5f(\sqrt 2 ) = - 4$, then $f(1)$ is equal to

Select the correct option:

$ - \frac{{2\sqrt 2 }}{5}$

$ - \frac{{8\sqrt 2 }}{5}$

$ - \frac{{6\sqrt 2 }}{5}$

$ - \frac{{4\sqrt 2 }}{5}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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