Question: Please help me out. Find the partial fraction decomposition for the following rational functions: 3x+7 x2 - 6x2-x-1 x3-x x4+5x3+x-15 x2+5x Evaluate each of the

Please help me out.

Find the partial fraction decomposition for the following rational functions: 3x+7 x2 - 6x2-x-1 x3-x x4+5x3+x-15 x2+5x Evaluate each of the following integrals, using a trigonometric substitution. Do not forget the back substitution. Solving using other methods is not acceptable. Solving using a formula is not acceptable. SV1 - 36x2 dx V25-x2 x2+49 Evaluate each of the following integrals: " cos (5x) dx [ sec (5x) tan? (5x) dx sin 6x sin 2xdx

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