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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of sin^4(x)
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Integral of x/e^x
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Integral of x^-3
- Integral of |-1+x|
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Identical expressions
- (x- three)/(x^ two -2x- eight)
- (x minus 3) divide by (x squared minus 2x minus 8)
- (x minus three) divide by (x to the power of two minus 2x minus eight)
- (x-3)/(x2-2x-8)
- x-3/x2-2x-8
- (x-3)/(x²-2x-8)
- (x-3)/(x to the power of 2-2x-8)
- x-3/x^2-2x-8
- (x-3) divide by (x^2-2x-8)
- (x-3)/(x^2-2x-8)dx
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Similar expressions
- (x-3)/(x^2-2x+8)
- (x-3)/(x^2+2x-8)
- (x+3)/(x^2-2x-8)
Integral of (x-3)/(x^2-2x-8) dx
The solution
You have entered
[src]
oo / | | x - 3 | ------------ dx | 2 | x - 2*x - 8 | / 5
$$\int\limits_{5}^{\infty} \frac{x - 3}{\left(x^{2} - 2 x\right) - 8}\, dx$$
Integral((x - 3)/(x^2 - 2*x - 8), (x, 5, oo))
The answer (Indefinite)
[src]
/ | | x - 3 log(-4 + x) 5*log(2 + x) | ------------ dx = C + ----------- + ------------ | 2 6 6 | x - 2*x - 8 | /
$$\int \frac{x - 3}{\left(x^{2} - 2 x\right) - 8}\, dx = C + \frac{\log{\left(x - 4 \right)}}{6} + \frac{5 \log{\left(x + 2 \right)}}{6}$$
The graph
The graph
Use the examples entering the upper and lower limits of integration.