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