Find the indefinite integral.
a. sin x+C
b. 2x +C
c. -cscx + C
d. -cosx + C
d. -cosx + C
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Evaluate the double integral over the given region.
R: 0 ? x ? ?, 0 ? y ? 1
A. 2?
B. 
C. 2? - 2
D. ?
Give a geometric description of the set of points whose coordinates satisfy the given conditions.8 ? z ? 9
A. All points between z = 8 and z = 9 in the x-y plane B. The slab between the planes z = 8 and z = 9 (including planes) C. No set of points satisfies the given relation D. The line from z = 8 to z = 9
Solve the problem.Find the centroid of the half-sphere formed by rotating the first-quadrant area under the curve 
(measurements in inches) about the y-axis.
A. 4.5 in. above the center of the base B. 3.75 in. above the center of the base C. 3 in. above the center of the base D. 2.25 in. above the center of the base
Provide an appropriate response.You are asked to change 
to a mixed number. What should be your first step?
A. Multiply 25 and 24. B. Divide 24 by 25. C. Add 25 and 24. D. Divide 25 by 24.