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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 cosx
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Integral of (x^3-17)/(x^2-4x+3)
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Integral of 1/sqrt(x^2-5)
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Integral of 1/(x^(1/2)+1)
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Identical expressions
- one /(one - two *x-x^ two)
- 1 divide by (1 minus 2 multiply by x minus x squared )
- one divide by (one minus two multiply by x minus x to the power of two)
- 1/(1-2*x-x2)
- 1/1-2*x-x2
- 1/(1-2*x-x²)
- 1/(1-2*x-x to the power of 2)
- 1/(1-2x-x^2)
- 1/(1-2x-x2)
- 1/1-2x-x2
- 1/1-2x-x^2
- 1 divide by (1-2*x-x^2)
- 1/(1-2*x-x^2)dx
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Similar expressions
- 1/(1+2*x-x^2)
- 1/(1-2*x+x^2)
Integral of 1/(1-2*x-x^2) dx
The solution
You have entered
[src]
1 / | | 1 | 1*------------ dx | 2 | 1 - 2*x - x | / 0
$$\int\limits_{0}^{1} 1 \cdot \frac{1}{- x^{2} - 2 x + 1}\, dx$$
The answer (Indefinite)
[src]
/ | ___ / / ___\ / ___\\ | 1 \/ 2 *\- log\1 + x + \/ 2 / + log\1 + x - \/ 2 // | 1*------------ dx = C - ------------------------------------------------- | 2 4 | 1 - 2*x - x | /
$$-{{\log \left({{2\,x-2^{{{3}\over{2}}}+2}\over{2\,x+2^{{{3}\over{2
}}}+2}}\right)}\over{2^{{{3}\over{2}}}}}$$
The graph
The graph
Use the examples entering the upper and lower limits of integration.