definite-integral

Question: $\int_{0}^{a}{x{{(2ax-{{x}^{2}})}^{\frac{3}{2}}}\,dx=}$

1) ${{a}^{5}}\left[ \frac{3\pi }{16}-1 \right]$

2) ${{a}^{5}}\left[ \frac{3\pi }{16}+1 \right]$

3) ${{a}^{5}}\left[ \frac{3\pi }{16}-\frac{1}{5} \right]$

4) None of these

Solution:

Explanation: No Explanation

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