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