Find ∫∫∫ sinzdv, where Ω is surrounded by a cone z = root (x ^ 2 + y ^ 2) and a plane y = π

The cross section equation is D: x ^ 2 + y ^ 2 = Z ^ 2, the cross section is a circle, its area is: π Z ^ 2 ∫ ∫ sinzdv = ∫ Sinz (∫ ∫ DXDY) DZ, the integral area of the double integral in the middle is cross section D, because the integrand is 1, the result is cross section area =

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1. The integral ∫ (x + y) dydz + (y + Z) dzdx + (Z + x) DXDY is calculated by Gauss formula, Where ∑ is the outer part of cylinder x2 + y2 = A2 between 0 ≤ Z ≤ 1
2. Surface integral ∫ (2x + Z) dydz + zdxdy integral region: z = x ^ 2 + y ^ 2 (0
3. Calculate the surface fraction I = ∫∫Σxydydz + 2sinxdxdxdy, where Σ is the lower side of the rotating paraboloid z = x & # 178; + Y & # 178; (0 ≤ Z ≤ 1) Ask for advice
4. Calculate the surface integral ∫ (Z ^ 2 + x) dydz zdxdy, where the integral surface is Z = 1 / 2 (x ^ 2 + y ^ 2) between z = 0 and z = 2 Why is the Gauss theorem positive for a closed surface? (the normal vector of a plane is downward, and the angle between it and the z-axis is obtuse. It should be the lower side. It should be negative by using the Gauss theorem,
5. ∫∫ x ^ 2dydz + y ^ 2dzdx + Z ^ 2dxdy ∑ is the lower side of the finite part of the paraboloid z = x ^ 2 + y ^ 2 cut by the plane z = 1
6. We know that x, y and Z are all positive numbers, and prove that 33 (LX + 1y + 1z) ≤ 1x2 + 1Y2 + 1z2
7. Let x, y, Z ∈ R +. Prove that (1 + x2) (1 + Y2) (1 + Z2) ≥ 8xyz
8. If ∑ is the outer side of the sphere x ^ 2 + y ^ 2 + Z ^ 2 = 4, then for the surface integral of coordinates ∫ ∫ x ^ 2dxdy, the answer to this problem is 4 π,
9. Given: X / 2 = Y / 3 = Z / 4, find (x2 + y2-z2-2xy) / (x2-y2 + z2-2xz) divided by (x2-y2-z2 + 2yz) / (x2 + y2-z2 + 2XY)
10. Given x = 1 / 2A + 1, y = 1 / 2A + A, z = A-3, find x2 + 2XY + y2-2xz + z2-2yz The problem is wrong, given x = 1 / 2A + 1, y = 1 / 2A + 2, z = A-3, find the value of x2 + 2XY + y2-2xz + z2-2yz, the answer is 36
11. ∫∫ xdydz + ydzdx + (Z ^ 2-2z) DXDY, where ∑ is the outside of the cone z = root x ^ 2 + y ^ 2 cut by the plane z = 0 and z = 1,
12. Calculate I = ∫ (x + | y |) ds, where ∑ is the surface | x | + | y | + | Z | = 1
13. ∫ (x ^ 2 + y ^ 2 + Z ^ 2) ds, the integral surface is a closed surface enclosed by x ^ 2 + y ^ 2 + Z ^ 2 = a ^ 2 (x ≥ 0, y ≥ 0) and plane x = 0, y = 0
14. Given the function f (x) = the square of X + ax + 3-A, if f (x) is constant on [- 2,2], find the value range of A
15. Look at the following formulas: one times three equals one square plus two times twelve times four equals two square plus two times two
16. 2 (a-b) * [(B-A) cubic] cubic
17. What is the rounding of 0.16667
18. tan sin I am a sophomore, want to learn in advance, had better use some graphics to express, write clearly, can let me understand
19. After a piece of ice turns into water, its mass and density remain unchanged
20. Is the function y = xcosx bounded in (negative infinity, positive infinity) and infinite when x approaches positive infinity?