Anti derivatives continued Applications Integrals The definite integral

1. Suppose an object has acceleration function a(t) = 12t + (1+1)?. (a) Assuming the object was at rest at t = 0, how fast is the object travelling at t = 4? (b) Given s(0) = 3 what is s(t)? 2. Determine the following indefinite integrals. (a) J (x2+1) In(12+1) dx (b) Sx2e3dx 3. Determine the following definite integrals. (a) S2(2x2 + 5x - 7) dx (b) S Vadx (c) fo xex2+ dx