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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
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How to use it?
- Integral of d{x}:
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Integral of e^(2*x+1)
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Integral of sin²xcos²x
- Integral of log(1+x)/(1+x^2)
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Integral of (4x-x^2)dx
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Identical expressions
- x/(two x^ two +3x-2)
- x divide by (2x squared plus 3x minus 2)
- x divide by (two x to the power of two plus 3x minus 2)
- x/(2x2+3x-2)
- x/2x2+3x-2
- x/(2x²+3x-2)
- x/(2x to the power of 2+3x-2)
- x/2x^2+3x-2
- x divide by (2x^2+3x-2)
- x/(2x^2+3x-2)dx
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Similar expressions
- x/(2x^2-3x-2)
- x/(2x^2+3x+2)
Integral of x/(2x^2+3x-2) dx
The solution
You have entered
[src]
3 / | | x | -------------- dx | 2 | 2*x + 3*x - 2 | / 2
$$\int\limits_{2}^{3} \frac{x}{\left(2 x^{2} + 3 x\right) - 2}\, dx$$
Integral(x/(2*x^2 + 3*x - 2), (x, 2, 3))
The answer (Indefinite)
[src]
/ | / 2 \ | x 3*log(-2 + 4*x) log\-2 + 2*x + 3*x/ 3*log(8 + 4*x) | -------------- dx = C - --------------- + -------------------- + -------------- | 2 20 4 20 | 2*x + 3*x - 2 | /
$$\int \frac{x}{\left(2 x^{2} + 3 x\right) - 2}\, dx = C - \frac{3 \log{\left(4 x - 2 \right)}}{20} + \frac{3 \log{\left(4 x + 8 \right)}}{20} + \frac{\log{\left(2 x^{2} + 3 x - 2 \right)}}{4}$$
The graph
The answer
[src]
2*log(4) log(3/2) log(5/2) 2*log(5)
- -------- - -------- + -------- + --------
5 10 10 5
$$- \frac{2 \log{\left(4 \right)}}{5} - \frac{\log{\left(\frac{3}{2} \right)}}{10} + \frac{\log{\left(\frac{5}{2} \right)}}{10} + \frac{2 \log{\left(5 \right)}}{5}$$
=
=
2*log(4) log(3/2) log(5/2) 2*log(5)
- -------- - -------- + -------- + --------
5 10 10 5
$$- \frac{2 \log{\left(4 \right)}}{5} - \frac{\log{\left(\frac{3}{2} \right)}}{10} + \frac{\log{\left(\frac{5}{2} \right)}}{10} + \frac{2 \log{\left(5 \right)}}{5}$$
-2*log(4)/5 - log(3/2)/10 + log(5/2)/10 + 2*log(5)/5
Use the examples entering the upper and lower limits of integration.