For each a, b E R, consider B(a, b) = f(1 t) b dt a. Prove convergence at a>0 and b>0. Prove divergence at a0 or b0. b. c. At what a and b values is B(a, b) an improper integral? Utilizing t=sin(0)^2, demonstrate that for a, b>0, d. B(a,b) = = 25 sin(0) a-cos (0) b de