Let f (x) be continuous on the interval [a, b], then the value of ∫ f (x) DX - ∫ f (T) DT (the interval is [a, b]) is?
Because ∫ f (x) DX = ∫ f (T) DT (integral value is independent of variable)
So ∫ f (x) DX - ∫ f (T) DT = 0
RELATED INFORMATIONS
- 1. Let f (x) be continuous on (0, π / 2) (closed interval), f (x) = xcosx + ∫ f (T) DT, then ∫ f (x) DX has upper limit and lower limit π / 2 The upper limit is flat π / 2 and the lower limit is 0
- 2. Let the variable upper limit integral ∫ (0, x) f (T ^ 2) DT = x ^ 3, then 2 ∫ (0,1) DX =? Sorry, wrong number. If the variable upper limit integral ∫ (0, x) f (T ^ 2) DT = x ^ 3, then 2 ∫ (0,1) f (x) DX =?
- 3. The side on which () is located is called the bottom of the triangle
- 4. In general, we call () triangle elements
- 5. What is the high line of a triangle
- 6. Equilateral triangles are also called______ Triangle, each inner angle is equal to______ °.
- 7. A triangle with is called an isosceles triangle
- 8. We know that a triangle with two equal sides is called an isosceles triangle. Similarly, we define that at least one set of quadrilaterals with equal opposite sides is called an isosceles quadrilateral. (1) please write down the name of a special quadrilateral you have learned that is an isosceles quadrilateral; (2) as shown in the figure, in △ ABC, points D and E are on AB and AC respectively. Let CD and be intersect at point O, if ∠ A = 60 °, DCB = ∠ EBC = 12 ∠ A. please write an angle equal to ∠ a in the graph, and guess which quadrilateral in the graph is an equal opposite quadrilateral; (3) in △ ABC, if ∠ A is an acute angle not equal to 60 °, points D and E are on AB and AC respectively, and ∠ DCB = ∠ EBC = 12 ∠ A. explore whether there is an equal opposite quadrilateral in the graph satisfying the above conditions, and prove your conclusion
- 9. A triangle with three equal sides is called a () triangle( A triangle with three equal sides is called a () triangle, also called a () triangle
- 10. A triangle with two equal sides is called (). The two equal sides are called (). The other side is called ()?
- 11. Let f (x) be continuous on the interval [a, b], and prove that 1 / (B-A) ∫ f (x) DX ≤ (1 / (B-A) ∫ F & # 178; (x) DX) ^ & # 189;
- 12. Let f (x) be differentiable on the interval [0,1], f (0) = 0,0
- 13. Find the integral of ∫ DX / X (X & # 178; + 1)?
- 14. Given y = x times LNX, find dy=___ DX? Please write the standard steps and the final answer,
- 15. Solve DX / (x + T) = dy / (- y + T) = DT
- 16. (y ^ 3-4x ^ 2) / (x ^ 3 + 2Y) = 44 / 31 given DX / dt = 5 x = - 3 y = - 2 find dy / DT
- 17. The parabolic standard equation with chord length of 16, which is perpendicular to the x-axis and has the focal point, is solved
- 18. Through the focus F of the parabola y ^ 2 = 4x, make a straight line intersection parabola with an inclination angle of θ, and use θ to represent the length of AB at two points ab
- 19. Given that the inclination angle of the line passing through the focus of the parabola y ^ 2 = 4x is 60 degrees, then the distance from the vertex to the line is?
- 20. Given the parabola y & sup2; = 4x, make a straight line with an inclination angle of π / 4 through its focus F, intersect the parabola at two points a and B, let the vertex of the parabola be o, and find △ a Given the parabola y & # 178; = 4x, make a straight line through its focus f with an inclination angle of π / 4, intersect the parabola at two points a and B, let the vertex of the parabola be o, and calculate the area of △ ABC