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1/(1+(x+1)^(1/3))
Solving integrals/ 1/(1+(x+1)^(1/3))

Integral of 1/(1+(x+1)^(1/3)) dx

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  1                   
  /                   
 |                    
 |          1         
 |  1*------------- dx
 |        3 _______   
 |    1 + \/ x + 1    
 |                    
/                     
0
∫011⋅1x+13+1 dx\int\limits_{0}^{1} 1 \cdot \frac{1}{\sqrt[3]{x + 1} + 1}\, dx 
Integral(1/(1 + (x + 1)^(1/3)), (x, 0, 1))
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                                                            
 |                                                                           
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3 (log⁡((x+1)13+1)+(x+1)23−2 (x+1)132)3\,\left(\log \left(\left(x+1\right)^{{{1}\over{3}}}+1\right)+{{ \left(x+1\right)^{{{2}\over{3}}}-2\,\left(x+1\right)^{{{1}\over{3}}} }\over{2}}\right)
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.900.01.5
Plot the graph f(x)
The answer [src] 
                                               2/3
3     3 ___                   /    3 ___\   3*2   
- - 3*\/ 2  - 3*log(2) + 3*log\1 + \/ 2 / + ------
2                                             2
3 log⁡(213+1)−3 log⁡2−3 213+3213+323\,\log \left(2^{{{1}\over{3}}}+1\right)-3\,\log 2-3\,2^{{{1}\over{ 3}}}+{{3}\over{2^{{{1}\over{3}}}}}+{{3}\over{2}} 
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                                               2/3
3     3 ___                   /    3 ___\   3*2   
- - 3*\/ 2  - 3*log(2) + 3*log\1 + \/ 2 / + ------
2                                             2
−3⋅23−3log⁡(2)+32+3⋅2232+3log⁡(1+23)- 3 \cdot \sqrt[3]{2} - 3 \log{\left(2 \right)} + \frac{3}{2} + \frac{3 \cdot 2^{\frac{2}{3}}}{2} + 3 \log{\left(1 + \sqrt[3]{2} \right)}
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Numerical answer [src] 
0.467886523585338
0.467886523585338
The graph
Integral of 1/(1+(x+1)^(1/3)) dx

    Use the examples entering the upper and lower limits of integration.

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