Why is ∫ (LNX) ^ 2 D (LNX) equal to 1 / 3 (LNX) ^ 3 Do you have any properties? Or do you continue to use the partial integration method?

Let a = LNX
Then the original formula = ∫ A & # 178; Da
=a³/3+C
=(lnx)³/3+C

RELATED INFORMATIONS

1. What is LNX = - 3 / 2 x
2. Is f (x) = lnx2, G (x) 2lnx the same and why?
3. Is f (x) = LnX3 and G (x) = 3lnx the same function? Is lnx2 and 2lnx the same function? Why?
4. What is the difference between F (x) = lnx2 and G (x) = 2lnx? Why are they not the same function?
5. Let f (x) = LNX, G (x) = f (x) + F '(x) 1) Finding the monotone interval and minimum of G (x) 2) Discuss the size of G (x) and G (1 / x) 3) Find the value range of a so that G (a) - G (x) 0 holds
6. Let f (x) = LNX, G (x) = f (x) + F '(x). (I) find the monotone interval and minimum value of G (x); (II) discuss the size relationship between G (x) and G (LX); (III) find the value range of a, so that G (a) - G (x) < 1A holds for any x > 0
7. Seeking indefinite integral ∫ (LNX) ^ 3 / x ^ 2 ∫(lnx)^3/x^2 dx
8. It is proved that the area of the triangle formed by the tangent line at a point on the curve f (x) = 1 / x, the line x = 0 and the line y = x is a fixed value, and And calculate the fixed value
9. The derivative of e to the power xn (n belongs to R) What's the derivative of (e ^ xn)
10. The derivative of y = x to 3 / 4 power and the derivative of y = x to 5 / 2 power than x to 1 / 3 power The derivative of y = x to 3 / 4 power and the derivative of y = x to 5 / 2 power than x to 1 / 3 power
11. LNX equals 1 / 3
12. LNX ^ 3 =? How much is this?
13. Why is LNX + 1 = 0 equal to 1 / E? How did he get it? So please help me to analyze it! Thanks a lot! LNX + 1 = 0, why x is - 1 / E, and how it is obtained, so please help me to analyze it! Thanks a lot!
14. -E ^ (- LNX) is equal to?
15. Is e ^ - LNX equal to - X or 1 / x?
16. LNX equals one, x equals how much
17. What is x equal to when LNX equals - 1
18. LNX = 1, what is x equal to?
19. Finding the monotone interval maximum and minimum of FX = LNX + X
20. On the extremum of function: y = x-lnx, the correct conclusion is that () a has a minimum 1, B has a maximum 1, C has a maximum E-1, D has a minimum E-1 reason