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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of 1/5x
- Integral of sqrt(1+e^(2x))
- Integral of sinx/cos2x
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Integral of sqrt(1-x^2)dx
- Graphing y =:
- x/(x^2+3x+2)
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Identical expressions
- x/(x^ two +3x+ two)
- x divide by (x squared plus 3x plus 2)
- x divide by (x to the power of two plus 3x plus two)
- x/(x2+3x+2)
- x/x2+3x+2
- x/(x²+3x+2)
- x/(x to the power of 2+3x+2)
- x/x^2+3x+2
- x divide by (x^2+3x+2)
- x/(x^2+3x+2)dx
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Similar expressions
- (xdx)/(x^2+3x+2)
- x/(x^2+3x-2)
- x/(x^2-3x+2)
- x*dx/(x^2+3*x+2)
Integral of x/(x^2+3x+2) dx
The solution
You have entered
[src]
1 / | | x | ------------ dx | 2 | x + 3*x + 2 | / 0
$$\int\limits_{0}^{1} \frac{x}{\left(x^{2} + 3 x\right) + 2}\, dx$$
Integral(x/(x^2 + 3*x + 2), (x, 0, 1))
The answer (Indefinite)
[src]
/ | / 2 \ | x log\2 + x + 3*x/ 3*log(2 + 2*x) 3*log(4 + 2*x) | ------------ dx = C + ----------------- - -------------- + -------------- | 2 2 2 2 | x + 3*x + 2 | /
$$\int \frac{x}{\left(x^{2} + 3 x\right) + 2}\, dx = C - \frac{3 \log{\left(2 x + 2 \right)}}{2} + \frac{3 \log{\left(2 x + 4 \right)}}{2} + \frac{\log{\left(x^{2} + 3 x + 2 \right)}}{2}$$
The graph
The answer
[src]
-3*log(2) + 2*log(3)
$$- 3 \log{\left(2 \right)} + 2 \log{\left(3 \right)}$$
=
=
-3*log(2) + 2*log(3)
$$- 3 \log{\left(2 \right)} + 2 \log{\left(3 \right)}$$
-3*log(2) + 2*log(3)
The graph
Use the examples entering the upper and lower limits of integration.