Question: I need solve this assignment P3 For each a, b E R, consider B(a, b) = ta-1(1 - t)6-1 dt. (a) For which values of

I need solve this assignment

P3 For each a, b E R, consider B(a, b) = ta-1(1 - t)6-1 dt. (a) For which values of a and b the integral B(a, b) is an improper integral? (b) Show that the integral converges when a > 0 and b > 0. (c) Show that the integral diverges if either a 0 we have . TT / 2 B(a, b) = 2 sin(0) 20-1 cos(0) 26-1 do. 0

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