Please give me a hand written answer as i have trouble reading maths when it's typed. Do not use a calculator and show all the steps necessary

1. Evaluate the following integrals: a ) V1-x2 dx Solve this one using (i) u = V1 - x2 and (ii) trigonometric substitution. b ) dx x2-4x+3 Solve this one using (i) partial fractions and (ii) trigonometric substitution. The lesson here is that trig substitutions tend to be, if not a method of last resort, then at least something lower down on your list of tools. x 2. Consider (4x2-4x+2)(x-1)2 dx. Carefully. a) Evaluate the indefinite integral. b) Improper integrals for this function would be of the form , a 1; J. , d > 1. For which of these, if any, would the improper integral converge? 3. For any positive real number p, define f (x) = p /(x?). Find the minimum value of the volume of the solid created by rotating this function around the x - axis over the interval [1, co)