The definite integral of an odd function on the symmetric interval about the origin must be 0. Why is it wrong?

If it's a generalized integral, it's divergent

RELATED INFORMATIONS

1. Let the following functions be defined on the symmetric interval (- A, a) odd and even functions (1) The sum of two even functions is even and the sum of two odd functions is odd (2) Any function defined on a symmetric interval (- A, a) can be expressed as the sum of an odd function and an even function
2. Find the area of trapezoid surrounded by straight line x = 0, x = 2, y = 0 and curve y = x square!
3. What is the area of the trapezoid surrounded by the curve y = 1 / x, the straight line x = 1, x = 2 and the X axis?
4. Definition of definite integral
5. How to calculate definite integral by definition?
6. The definition of definite integral Who can explain exactly what is definite integral Not too much
7. Using the definition of definite integral to prove... Ask for powerful help Using the definition of definite integral, it is proved that ∫ B (upper limit of integral) a (lower limit of integral) KF (x) DX = k ∫ B (upper limit of integral) a (lower limit of integral) f (x) DX (k is a constant)
8. The definition of definite integral 1. Y = x ^ 2 + 1 is integrable on [a, b]. Divide [a, b] n equally into ξ K (k is the subscript) (k = 1.2.3.4... N) the right end point of the cell is a + K (B-A) / N. how do you get the right end point? What does K (B-A) mean? 2. Why is LIM (n → + ∞) {B-A / n [n (a ^ 2 + 1) + B-A / N2a (1 + 2 +... N) + (B-A) ^ 2 / N ^ 2 (1 ^ 2 +... + n ＾ 2)] equal to (B-A) [a ^ 2 + 1 + AB-A ^ 2 + (B-A) ^ 2 / 3]?
9. Calculate the definite integral ln xdx (E is above and 1 is below)
10. Questions about the concept of definite integral n ∑i²=(n(n+1)(2n+1))/6 i=1 Why? Why is that? Can you give the name and inference method of the relevant formula?
11. The effect and significance of function parity and region symmetry on definite integral
12. If a function is odd in a symmetric interval, then its definite integral in this interval is zero?
13. 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?
14. Definite integral of 3 / 2 of function (square of 1-x) In the interval 0 to 1
15. 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,
16. Find the volume of the body of revolution of the ellipse x ^ 2 / 4 + y ^ 2 / 6 = 1
17. Find the volume of the body of revolution generated by a circle (X-5) ^ 2 + y ^ 2 = 16 rotating around the Y axis
18. 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
19. 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,
20. 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