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