(1) Evaluate the following indefinite integrals using substitution: (a) f cos(2x) dx (b) S sin2 0 cos Ode (c) Sx2 vx3 + 1dx 22 (d) S dz 23 + 1 (e ) S (In ac) 2 dx (f) S sin x sin(cos x) dx (2) An oil storage tank ruptures at time t = 0 and oil leaks from the tank at a rate of r(t) = 100e-0.01t liters per minute. How much oil leaks out during the first hour? (3) If f is continuous and So f(x)dx = 10 then find So f(2x) dx. (4) If f is continuous and So f(x)dx - 9, find fo xf(x2) dx. (5) A particle moves along a line with velocity function v(t) = t2 - t, where v is measured in meters per second. Find (a) the displacement and (b) the distance traveled by the particle during the time interval [0, 5]