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