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