(a) Find a function f that has y = 4 - 3x as a tangent line and whose derivative is equal to f'(x) = x2 + 4x + 1. (b) Find the area under the curve for f(x) = x on [-1, 1]. (c) Determine where the function is f (x) = So e21 - 2 cos(t2 - 1) + 3 -dt increasing. (d) Express - sin(x2)dx as limits of Riemann sums, using the right-hand rule. Do not evaluate the limit