Integral of 1/(1+(x+1)^(1/3)) dx
The solution
The answer (Indefinite)
[src]
/
| 2/3
| 1 3 _______ / 3 _______\ 3*(1 + x)
| 1*------------- dx = C - 3*\/ 1 + x + 3*log\1 + \/ 1 + x / + ------------
| 3 _______ 2
| 1 + \/ x + 1
|
/
3(log((x+1)31+1)+2(x+1)32−2(x+1)31)
The graph
2/3
3 3 ___ / 3 ___\ 3*2
- - 3*\/ 2 - 3*log(2) + 3*log\1 + \/ 2 / + ------
2 2
3log(231+1)−3log2−3231+2313+23
=
2/3
3 3 ___ / 3 ___\ 3*2
- - 3*\/ 2 - 3*log(2) + 3*log\1 + \/ 2 / + ------
2 2
−3⋅32−3log(2)+23+23⋅232+3log(1+32)
Use the examples entering the upper and lower limits of integration.