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\noindent {\bf Problem statement} Compute these two definite integrals
exactly:

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\noindent a) $\int_0^{1/3} 4x \, \sqrt{1-3x} \, dx$

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\noindent b) $\int_{\pi}^{2\pi} x \arcsin\left({{\textstyle \pi}\over
{\textstyle x}}\right)\, dx$

 









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