∫ (2 + x) / √ (4-x∧2) DX to calculate indefinite integral

∫ (2+x)/√(4-x²) dx
=∫ 2/√(4-x²) dx + ∫ x/√(4-x²) dx
=∫ 1/√(1-x²/4) dx + (1/2)∫ 1/√(4-x²) d(x²)
=arcsin(x/2) - √(4-x²) + C
If you don't understand, please ask. If you can solve the problem, please click "select as satisfactory answer" below

RELATED INFORMATIONS

1. Calculate indefinite integral ∫ e ^ X / x ^ 3 DX
2. Seeking indefinite integral ∫ [(1 + 1 / x ^ 2) (1-x ^ 2) + xsinx] DX
3. Definite integral X: 0 - > π∫ (xsinx) / (cosx) ^ 3 DX
4. A wrong calculation problem of definite integral, ∫ ln (Ex) DX, x from 0 to 1 It's called abnormal integral. That's wrong
5. The value of definite integral ∫ 10 (2x + Ex) DX is () A. e+2B. e+1C. eD. e-1
6. The definite integral of cost ^ 2DT, whose interval is [0, x] divided by X, is the limit when x tends to 0
7. ∫ (0, π) (∫ (π, x) Sint / TDT) DX
8. D / DX (∫ e ^ √ TDT), that is, how to calculate the definite integral between X ^ 2 and x ^ 3
9. ∫ indefinite integral of 2x ^ 4 + 2x ^ 2 + 1 / x ^ 2 + 1dx!
10. Seeking indefinite integral ∫ 2x-2 / x ^ 2-2x + 3DX Seek the concrete process
11. How to calculate the indefinite integral of ∫ 1 / [x ^ 2 (x ^ 2 + 1)] DX
12. Seeking ∫ (2x + 1) DX indefinite integral
13. Find the indefinite integral ∫ DX / 1-2x =?
14. How to calculate the indefinite integral of 1 / (x ^ 2 + a)?
15. Calculate definite integral ∫ upper 0 lower negative 1 [(3x ^ 4 + 3x ^ 2 + 1) / (x ^ 2 + 1)] (ey)
16. 20 points for a definite integral calculation process, hope to be more detailed ∫ lower limit 0, upper limit Π / 2 (1-cos ^ 4 θ) d θ the answer is 5 Π / 4
17. Seeking indefinite integral xdx / (x ^ 2 + 1)
18. What is the indefinite integral of COS ^ 2 (1-3x)
19. F (3x-2) ^ 50dx calculate the following indefinite integral
20. Indefinite integral calculation of Xe ^ (3x)?