Question

1. Find the partial fraction decomposition of the rational function: (2s − 4)/(s^2 + s)(s^2 +...

1. Find the partial fraction decomposition of the rational function:

(2s − 4)/(s^2 + s)(s^2 + 1)

2. Find:

∫ (9x)/(sqrt. root(25-x^2)) dx +  ∫ (3)/(sqrt. root(25-x^2)) dx (use C for constant of integration).

3. Evaluate the following integral:

∫ 17t sin^2(t) dt

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