Question

7. Evaluate the following: \text { (a) } \int \frac{3 x^{4}}{3+x^{5}} d x \text {, } \text { (b) } \int \frac{\sin (\pi \log (x))}{x} d x \text { using the substitution } u=\pi \log (x) \text {, } \text { (c) } \int x \sin (x) d x \text {, } \text { (d) } \int \frac{2 x+3}{(x+1)(x+2)} d x \text {, }

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