can you explain this problems to me as if I do not know how to do it at all. It is not enough for your journal submissions to show a worked out solution. You need to 1)explain it to me like I know nothing or 2) tell me how you corrected your thinking about solving these types of problems. thx

5.5 Exceeds If f is continuous for all x, which of the following integrals have the same value? a) Saf ( x )dx b) So " f ( x + a ) dx c) Sotcf Jate f(x + c) dx 7.1 Exceeds The acceleration a of an object in rectilinear motion is given by a(t) = the-t ft/s2. a) Find the velocity v of the object if the initial velocity is v(0) = 5 ft/s. b) Find the position s of the object if the initial position is s(0) = 0 ft. 7.2 Exceeds a) What is wrong with the following? cost x dx = (cos x ) 3 cos x dx = (cos'x) 3/2 cos x dx (1 -sin x)3/2 cos x dx = (1-u2)3/2 du = 0 b) Find So costx dx. 7.3 Exceeds Use a trigonometric substitution to derive each formula. a) S- dx xvx2-a2 -sec-12 + C dx b) JVxztaz = In x + Vx2 + az|+ C 7.4 Exceeds Use the partial fraction decomposition method to find J . Hint: Factor 1 + x* into irreducible quadratics