Evaluate the following integrals:
(a) ∫ d x x 2 x 2 − 16 {\displaystyle \int {\frac {dx}{x^{2}{\sqrt {x^{2}-16}}}}}
(b) ∫ − π π sin 3 x cos 3 x d x {\displaystyle \int _{-\pi }^{\pi }\sin ^{3}x\cos ^{3}x~dx}
(c) ∫ 0 1 x − 3 x 2 + 6 x + 5 d x {\displaystyle \int _{0}^{1}{\frac {x-3}{x^{2}+6x+5}}~dx}
Solution
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