Find the shadow area of parabola y = x square and y = 8-x square,

It can only be done by integral method
Find the intersection first
Let x ^ 2 = 8-x ^ 2, then x = ± 2
So the area is s = ∫ (- 2,2) (8-x ^ 2-x ^ 2) DX = ∫ (- 2,2) (8-2x ^ 2) DX = (8x-2x ^ 3 / 3) | (- 2,2) = (8 * 2-2 * 2 ^ 3 / 3) - (8 * (- 2) - 2 * (- 2) ^ 3 / 3) = 64 / 3
Integral symbols are difficult to express,

RELATED INFORMATIONS

1. If the areas of the three faces with a common vertex in a cuboid are root 2, root 3 and root ⒍, then the cuboid volume is?
2. Given that point a is the left vertex of hyperbola x2-y2 = 1, point B and point C are on the right branch of hyperbola, and △ ABC is an equilateral triangle, then the area of △ ABC is___ ．
3. Given that the solution of the system {x + y = 5k-13x-2y = 7 satisfies the condition of X7, the positive integer value of K is obtained
4. How many meters is 0.1 micron?
5. Given that X and y are real numbers and X − 1 + 3 (Y-2) 2 = 0, then the value of X-Y is () A. 3B. -3C. 1D. -1
6. Parabolic equation with focus (1,0) and quasilinear x = - 2
7. How to calculate 0.2 times 0.7 times 50
8. X^2 dy/dx=2y^2+yx Find the original function. How to do ah. Urgent
9. Variance of a sample x1, X2, X3, X4 S^=1/4[(X1-3)^+(X2-3)^+(X3-3)^+(X4-3)^]=13 Find the sum of squares of the sample data
10. When the integrand is a constant function K, the double integral is k times the area of the integrand
11. Use - 2, - 3,4,5 to calculate 24 points
12. As shown in the figure, if the product of a point a on the image of the inverse scale function and the rectangle aboc enclosed by the coordinate axis is 8, then the analytical expression of the inverse scale function is______ ．
13. |1 / 1994-1 / 1993 + 1 / 1995-1 / 1994 - 1 / 1995-1 / 1993
14. Calculating two first order partial derivatives of Z = x ^ y + sin (XY)
15. What is the linear equation obtained by rotating the root of the line three X-Y + 1 = 0 around the point (0,1) by 30
16. How many different spelling methods are there to make a large rectangle (or square) with 36 squares of 1 square centimeter? (first draw a table and list them one by one, then answer the questions)
17. Find the minimum positive period of the function f (x) = 2sinxcos (x + 6 beats) - cos2x + m (1), (2) When x belongs to [negative quarter beat, quarter beat], the minimum value of F (x) is negative 3, find the value of M,
18. The diameter of round dining table is 2 meters, height is 1 meter, the square tablecloth that spreads on the tabletop all around just touches the ground, the area that seeks square tabletop
19. ∫（e,1） (ln x/x)dx=?
20. How many addition and subtraction methods do you learn in grade one of primary school?