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1. Find the area of the region enclosed between y=4sin(x) and y=4cos⁡(x) from x=0 to x=0.5π...

1. Find the area of the region enclosed between y=4sin(x) and y=4cos⁡(x) from x=0 to x=0.5π

2. Find the volume of the solid formed by rotating the region enclosed by

x=0, x=1, y=0, y=8+x^5

about the x-axis.

3. Find the volume of the solid obtained by rotating the region bounded by

y=x^2, y=1.

about the line y=7.

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