(a) Evaluate the following indefinite and definite integrals: \int \frac{5}{(9+x)^{3}} d x \text { ii) } \int_{1}^{2} x^{3}\left(10-x^{4}\right)^{5} d x (b) Sketch the curve y = (r – 1)(x -

4) and calculate by integration the area under the curvebounded by r =1 and a = 4.