Calculus Answers

Find the center of mass for the region bounded by y=4-x^2 that is in the first quadrant.

Use the method of cylinders to determine the volume of the solid obtained by rotating the region bounded by y=1/x, x=1/2, x=4 and the x-axis about the y-axis.

Use the method of cylinders to determine the volume of the solid obtained by rotating the region bounded by x=(y-2)^2, the x-axis and the y-axis about the x-axis.

Use the method of disks/rings to determine the volume of the solid obtained by rotating the region bounded by y=7-x^2, x=-2, x=2 and the x-axis about the x-axis.

Use the method of disks/rings to determine the volume of the solid obtained by rotating the region bounded by y=√x, y=3 and the y-axis about the y-axis.

Compute the area bounded by the curve r=sin2(∅) for 0≤∅≤ π/2.

Find the first quandrant area under the curve y=xe^-x.

Find the area bounded by the curves y^2=4x and y=2x-4.

Find the area bounded by the curve y=x/1+x^2 and 4y=x.

Find the area of the curve r^2=3-4cos^2(0), symmetrical to origin and Ox.