this calculas

1. (4 points) Assume J, f(x) dx = 3, J ; f(x)dx = 5, and S'; g(x) da = 9, compute: [ , [3 - f(x) ] dx. 2. (4 points) Solve the initial value problem: f " (t) = vt . cost, f' (0) - 2, f(1) = 2. 3. (4 points) Evalute the integral: (x4 - 5)7 da t2 sec2 +3 4. (4 points) Evaluate the integral: (tant3 - 1)2 5. (4 points) Calculate the left endpoint Riemann sum using n = 4 rectangles of equal width for f( z) = 23 on(0, 2]