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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^2-5x+9)/(x^2-5x+6)
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Integral of sin(0.5*x)
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Integral of sin(x)^10
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Integral of 3x^4
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Identical expressions
- (x^ two -5x+ nine)/(x^ two -5x+ six)
- (x squared minus 5x plus 9) divide by (x squared minus 5x plus 6)
- (x to the power of two minus 5x plus nine) divide by (x to the power of two minus 5x plus six)
- (x2-5x+9)/(x2-5x+6)
- x2-5x+9/x2-5x+6
- (x²-5x+9)/(x²-5x+6)
- (x to the power of 2-5x+9)/(x to the power of 2-5x+6)
- x^2-5x+9/x^2-5x+6
- (x^2-5x+9) divide by (x^2-5x+6)
- (x^2-5x+9)/(x^2-5x+6)dx
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Similar expressions
- (x^2+5x+9)/(x^2-5x+6)
- (x^2-5x+9)/(x^2+5x+6)
- (x^2-5x-9)/(x^2-5x+6)
- (x^2-5x+9)/(x^2-5x-6)
Integral of (x^2-5x+9)/(x^2-5x+6) dx
The solution
You have entered
[src]
1 / | | 2 | x - 5*x + 9 | ------------ dx | 2 | x - 5*x + 6 | / 0
$$\int\limits_{0}^{1} \frac{x^{2} - 5 x + 9}{x^{2} - 5 x + 6}\, dx$$
The answer (Indefinite)
[src]
/ | | 2 | x - 5*x + 9 | ------------ dx = C + x - 3*log(-2 + x) + 3*log(-3 + x) | 2 | x - 5*x + 6 | /
$$x-3\,\log \left(x-2\right)+3\,\log \left(x-3\right)$$
The graph
The answer
[src]
1 - 3*log(3) + 6*log(2)
$$-3\,\log 3+6\,\log 2+1$$
=
=
1 - 3*log(3) + 6*log(2)
$$- 3 \log{\left(3 \right)} + 1 + 6 \log{\left(2 \right)}$$
The graph
Use the examples entering the upper and lower limits of integration.