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Indefinite Integrals question

2025 · 3 Apr · Shift 1 · Q32

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PYQ Library
JEE Main
Mathematics
Indefinite Integrals
2025 · 3 Apr · Shift 1 · Q32

Indefinite Integrals question

2025 · 3 Apr · Shift 1 · Q32

JEE MainMathematicsIndefinite IntegralsMCQ+4 / −1

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

A
$-\frac{6 \sqrt{2}}{5}$
B
$-\frac{8 \sqrt{2}}{5}$
C
$-\frac{2 \sqrt{2}}{5}$
D
$-\frac{4 \sqrt{2}}{5}$

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