How to find the indefinite integral of (x + 1) / (X & # 178; - 2x + 5)
The original formula = ∫ (x-1) / (x2-2x + 5) DX + ∫ 2 / (x2-2x + 5) DX
=1/2ln(x2-2x+5)+arctan((x-1)/2)+C
RELATED INFORMATIONS
- 1. Finding indefinite integral ∫ X / (X & # 178; + 2x + 2) DX
- 2. Let sin2x be a primitive function of F (x), and find ∫ f (x) DX
- 3. Calculus problem: let a primitive function of F (x) be cos (2x), and find ∫ f '(x) DX Let a primitive function of F (x) be cos (2x), and find ∫ f '(x) DX
- 4. ∫(3x+1)/[(√4+x²)] dx ∫sin√x dx Please give the detailed steps of these two questions
- 5. ∫ upper 2 lower 1 [(xex power - 2 + 3x & # 179;) / x] DX; ∫ upper 3 lower 1 | 2-x | DX; ∫ upper 1 lower 0 (X & # 178; - ex power + 2sinx) DX
- 6. If y = e is given to the power of 3x, find D & # 178; Y / DX & # 178;
- 7. Solving indefinite integral [(LNX) 179] / X & # 178;] DX by integral method
- 8. Kneel down to seek the calculus of (e ^ - xcosx) DX It's a process
- 9. (x^3) ------------ dx (x^2+1)^1/3
- 10. If the volume of the inscribed cube is 64, then the surface area of the sphere is 64______ .
- 11. Find the following indefinite integrals: ∫ (1 + 2x) / [x (x + 1)] DX and ∫ 1 / (X & # 178; - X-6) DX
- 12. If f (x) satisfies f (x + 2) = x2 + 3, then f (x)=______ .
- 13. The known function f (x) = - X & # 178; - 2| x | + 3 (1) Write f (x) in the form of piecewise function. (2) write the monotone increasing and decreasing interval of the function. (3) write the range of the function (3) It is pointed out that
- 14. The known function f (x) = f '(1) e ^ x-1-f (0) x + 189; X & # 178; If f (x) ≥ (1 / 2) x & # 178; + ax + B, find the maximum of (a + 1) B
- 15. Given that the function f (x) = 4x & # 178; - MX + 5 is an increasing function in the interval [- 2, + ∞), then the range of F (- 1) is_____ .
- 16. If the function f (x) = x & # 178; - (A-1) x + 5 is an increasing function in the interval (1 / 2,1), the value range of F (2) can be obtained
- 17. The answer is that (Sin & # 178; a + cos & # 178; a) / (Sin & # 178; a + cos & # 178; a-sinacosa) protolith can be transformed into this
- 18. How does √ (1 + sin α) turn into √ "(sin (α / 2) + cos (α / 2)) 178;" and | sin (α / 2) + cos (α / 2) | and which formula is used
- 19. Cos (x / 2) cos (NX) DX (0 → π) definite integral
- 20. What is ∫ (COS & sup3; X / Sin & sup2; x) DX