Calculus (area of base and volume of solid)

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Can you check my work and see if I did the problem correctly? Thanks!

A solid with a base formed by intersecting sine and cosine curves and built up with semi-circular cross-sections perpendicular to the x-axis. Find the area of the base and the volume of the solid.

Integral (-2.356 to .785) (sinx-cosx) dx =-2.828

½ pi Integral (-2.356 to .785) (.5(sinx-cosx))^2 dx = 1.234

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