Calculus Questions

1.

Identify all the function symmetry in the following integration and use them to evaluate the integration E x4 + 2x2 f( + sin(2x)3x4 + 5 cos(3x)) - dx Sketch and shade the area bounded by the following functions y = -x- + 10 and y = 2x + 2, x = 0 and x = 3 And find the volume of revolution when the above area is rotated about the x-axisDetermine the surface area of the object obtained by rotating the following function about the x axis 1 y=ixi4x+8; Dix-1