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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
- Limits Step by Step
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How to use it?
- Integral of d{x}:
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Integral of x²+4
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Integral of x^3e^x
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Integral of 2x^3+1
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Integral of 2*x^2+2/x^4
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Identical expressions
- one /((x+ one)^(one / three)+ one)
- 1 divide by ((x plus 1) to the power of (1 divide by 3) plus 1)
- one divide by ((x plus one) to the power of (one divide by three) plus one)
- 1/((x+1)(1/3)+1)
- 1/x+11/3+1
- 1/x+1^1/3+1
- 1 divide by ((x+1)^(1 divide by 3)+1)
- 1/((x+1)^(1/3)+1)dx
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Similar expressions
- 1/((x+1)^(1/3)-1)
- 1/((x-1)^(1/3)+1)
Integral of 1/((x+1)^(1/3)+1) dx
The solution
You have entered
[src]
0 / | | 1 | 1*------------- dx | 3 _______ | \/ x + 1 + 1 | / -1
$$\int\limits_{-1}^{0} 1 \cdot \frac{1}{\sqrt[3]{x + 1} + 1}\, dx$$
Integral(1/((x + 1)^(1/3) + 1), (x, -1, 0))
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 | \/ x + 1 + 1 | /
$$3\,\left(\log \left(\left(x+1\right)^{{{1}\over{3}}}+1\right)+{{
\left(x+1\right)^{{{2}\over{3}}}-2\,\left(x+1\right)^{{{1}\over{3}}}
}\over{2}}\right)$$
The graph
The answer
[src]
-3/2 + 3*log(2)
$$3\,\log 2-{{3}\over{2}}$$
=
=
-3/2 + 3*log(2)
$$- \frac{3}{2} + 3 \log{\left(2 \right)}$$
The graph
Use the examples entering the upper and lower limits of integration.