MAC 2312 Midterm: MAC2312 S99 Test 2
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Di erentiate: y = x sin-1 (3x: (10 pts. each) find the antiderivatives (a) z 3 tan (x + 1) dx (b) z (c) z. 1 dx dx (d) z (e) z sin3 x. Let r denote the region bounded by the two curves y = sin x and y = 0 on the interval 0 x . Find the volume of the solid obtained by revolving. Let r denote the region bounded by the two curves y = tan x and y = 0 on the interval 0 x /4. Find the volume of the solid obtained by revolving r about the x-axis.