3 Determine whether the following improper integrals converge or diverge If it converges specify the value it converges to a T b d T Hint Use integration by parts and take for granted the fact that lime te t 0 We will learn how to evaluate a limit like this next week or so e f dr redr I 2 1 dr dr 1 x Hint Note here that the integrand has a discontinuity at z 1 Use trigonometric substi tution to find the antiderivative it is case 1 from the lecture 4 notes Finally recall that arcsin 1 and arcsin 0 0