Please help with the following calculus question:

d) (1 point) / ezz sin(x)dr = 0 -TT e) (1 point) The radius of convergence of is infinity.T. (5 points) Determine Whether each of the following statements is TRUE or FAISE. Justify your answer. 2 a} (1 point) The integral ["211-le +1:2 (in: describes the surface area of the curve y = 3? a rotated around the xaxis. for [I g a: g :7. Ir b} (1 point} The integral 1 1r(sin(x) +1)2d:c describes the volume of the solid of revolution 0 obtained by rotating y = sinks) around the horizontal line 9 = 1. 00 c) (1 point) The sequence cl.n = 1,111. is convergent and thus the series 2 an is convergent. n=l