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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of 2*x/(-1+x)
- Integral of x*e^(x*y)
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Integral of (x+1)e^(2x)
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Integral of (x+1)/(2x²+3x-4)
- Graphing y =:
- (x-1)/(x^2-9)
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Identical expressions
- (x- one)/(x^ two - nine)
- (x minus 1) divide by (x squared minus 9)
- (x minus one) divide by (x to the power of two minus nine)
- (x-1)/(x2-9)
- x-1/x2-9
- (x-1)/(x²-9)
- (x-1)/(x to the power of 2-9)
- x-1/x^2-9
- (x-1) divide by (x^2-9)
- (x-1)/(x^2-9)dx
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Similar expressions
- (x+1)/(x^2-9)
- (x-1)/(x^2+9)
Integral of (x-1)/(x^2-9) dx
The solution
You have entered
[src]
1 / | | x - 1 | ------ dx | 2 | x - 9 | / 0
$$\int\limits_{0}^{1} \frac{x - 1}{x^{2} - 9}\, dx$$
Integral((x - 1)/(x^2 - 9), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | x - 1 log(-3 + x) 2*log(3 + x) | ------ dx = C + ----------- + ------------ | 2 3 3 | x - 9 | /
$$\int \frac{x - 1}{x^{2} - 9}\, dx = C + \frac{\log{\left(x - 3 \right)}}{3} + \frac{2 \log{\left(x + 3 \right)}}{3}$$
The graph
The answer
[src]
log(2) 2*log(4)
-log(3) + ------ + --------
3 3
$$- \log{\left(3 \right)} + \frac{\log{\left(2 \right)}}{3} + \frac{2 \log{\left(4 \right)}}{3}$$
=
=
log(2) 2*log(4)
-log(3) + ------ + --------
3 3
$$- \log{\left(3 \right)} + \frac{\log{\left(2 \right)}}{3} + \frac{2 \log{\left(4 \right)}}{3}$$
-log(3) + log(2)/3 + 2*log(4)/3
Use the examples entering the upper and lower limits of integration.