For example, how to find the volume of the body of revolution generated by the rotation of the ellipse 4 * (the square of x) + 9 * (the square of Y) = 1 around the x-axis and y-axis respectively?

RELATED INFORMATIONS

• 1. Using definite integral to find the volume of the body of revolution by y = x ^ 2 + 1, y = 0, x = 0, x = 1 rotating around X axis
• 2. The problem of definite integral is to find the volume of the figure surrounded by y = x ^ 2 and y = 10 rotating around the Y axis,
• 3. X ^ 2 + y ^ 2 = 9, find the volume of the revolving body of the circle around x = - 4, and use definite integral to find the volume
• 4. Find the volume of the body of revolution generated by a circle (X-5) ^ 2 + y ^ 2 = 16 rotating around the Y axis
• 5. Find the volume of the body of revolution of the ellipse x ^ 2 / 4 + y ^ 2 / 6 = 1
• 6. It is known that there is no intersection point between the image of a first-order function and the line y = 2x + 1, and the area of the triangle bounded by its image and the x-axis and y-axis is 9. The analytic expression of the first-order function is obtained It's OK before 4 o'clock today,
• 7. Definite integral of 3 / 2 of function (square of 1-x) In the interval 0 to 1
• 8. Can y = 1 / X be defined as a definite integral? How to integrate [1,2] if it is over energy Can y = √ (1-x ^ 2) be used for definite integral [- 1,1] without geometric meaning? Is it possible to use definition method for integral?
• 9. If a function is odd in a symmetric interval, then its definite integral in this interval is zero?
• 10. The effect and significance of function parity and region symmetry on definite integral
• 11. If the major half axis of the ellipse is 3 and the minor half axis is 2, and the ellipse rotates around the axis for one circle, what is the volume?
• 12. Find the volume of a rotating body (called a rotating ellipsoid) formed by the elliptic equation rotating around the x-axis Find the volume of the revolving body (called revolving ellipsoid) formed by the ellipse X & # 178 / / A & # 178; + Y & # 178 / / B & # 178; = 1 rotating around the X axis
• 13. Find the volume of the body of revolution formed by the ellipse x ^ 2 / 9 + y ^ 2 / 4 = 1 rotating around the X axis Need process! Urgent!
• 14. It is proved that at least one of the three parabola y = CX ^ 2 + 2aX + B, y = ax ^ 2 + 2bx + C, y = BX ^ 2 + 2cx + A. (a, B, C are non-zero real numbers) has intersection with X axis To the contrary, be more specific. Within an hour
• 15. An equilateral triangle with three vertices on the parabola y ^ 2 = 4x and a fixed point as the origin of the coordinate is used to calculate the area of the triangle
• 16. If the line y = x + 3 and the parabola y = - x + 2x + 3 intersect at two points a and B, the area of the triangle with a, B and origin 0 as the vertex is obtained No picture, step, high score
• 17. The Quasilinear equation of parabola y = 2x2 is______ ．
• 18. The linear equation which passes through the fixed point P (0,1) and has only one common point with the parabola y2 = 2x is______ ．
• 19. If there is only one common point between a straight line with a slope of 1 and a parabola y squared equal to 4x, then the equation of the straight line is In fact, I have done it, but to be sure, I still want to see the difference between other people's and mine~
• 20. If the vertex of the parabola y = - x square - 2x + P is on the straight line y = x / 2-1, find the value of P, and then rewrite the expression of the parabola into the form of y = a (x + m) square + K