Question: sec? t dt 1) Evaluate the integral {| _ . = / (tant 1)? dx xv/a? 16 | Hint: Use a suitable w-substitution. You may

sec? t dt 1) Evaluate the integral {| _ . = / (tant 1)? dx xv/a? 16 | Hint: Use a suitable w-substitution. You may find the following 8 2) Evaluate the integral / 5 formula from differential calculus useful: d -1/7\\ __ a Gp van (=) a a2+a?2 3) Let R be the region enclosed by x = 2, x = 3, y = 16 x* andy = 0. Find the volume of the solid obtained by rotating R about y- axis. 4) Let R be the region bounded by y = 4 2? and the z-axis where 0

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