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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^4lnx
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Integral of dx/(1-4*x^2)
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Integral of (4x-x^2)dx
- Integral of log(x+1)/(x^2+1)
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Identical expressions
- xdx/((x+ two)(x+ three))
- xdx divide by ((x plus 2)(x plus 3))
- xdx divide by ((x plus two)(x plus three))
- xdx/x+2x+3
- xdx divide by ((x+2)(x+3))
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Similar expressions
- xdx/((x-2)(x+3))
- xdx/((x+2)(x-3))
Integral of xdx/((x+2)(x+3)) dx
The solution
You have entered
[src]
1 / | | x | --------------- dx | (x + 2)*(x + 3) | / 0
$$\int\limits_{0}^{1} \frac{x}{\left(x + 2\right) \left(x + 3\right)}\, dx$$
Integral(x/(((x + 2)*(x + 3))), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | x | --------------- dx = C - 2*log(2 + x) + 3*log(3 + x) | (x + 2)*(x + 3) | /
$$\int \frac{x}{\left(x + 2\right) \left(x + 3\right)}\, dx = C - 2 \log{\left(x + 2 \right)} + 3 \log{\left(x + 3 \right)}$$
The graph
The answer
[src]
-5*log(3) + 2*log(2) + 3*log(4)
$$- 5 \log{\left(3 \right)} + 2 \log{\left(2 \right)} + 3 \log{\left(4 \right)}$$
=
=
-5*log(3) + 2*log(2) + 3*log(4)
$$- 5 \log{\left(3 \right)} + 2 \log{\left(2 \right)} + 3 \log{\left(4 \right)}$$
-5*log(3) + 2*log(2) + 3*log(4)
The graph
Use the examples entering the upper and lower limits of integration.