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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^4
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Integral of e^(3*x)/3
- Integral of log(x+1)/(x^2+1)
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Integral of 1/(x^3-1)^2
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Identical expressions
- (3x+ one)/(x(x- one)^ two)
- (3x plus 1) divide by (x(x minus 1) squared )
- (3x plus one) divide by (x(x minus one) to the power of two)
- (3x+1)/(x(x-1)2)
- 3x+1/xx-12
- (3x+1)/(x(x-1)²)
- (3x+1)/(x(x-1) to the power of 2)
- 3x+1/xx-1^2
- (3x+1) divide by (x(x-1)^2)
- (3x+1)/(x(x-1)^2)dx
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Similar expressions
- (3x+1)/(x(x+1)^2)
- (3x-1)/(x(x-1)^2)
Integral of (3x+1)/(x(x-1)^2) dx
The solution
You have entered
[src]
n / | | 3*x + 1 | ---------- dx | 2 | x*(x - 1) | / n
$$\int\limits_{n}^{n} \frac{3 x + 1}{x \left(x - 1\right)^{2}}\, dx$$
Integral((3*x + 1)/((x*(x - 1)^2)), (x, n, n))
The answer (Indefinite)
[src]
/ | | 3*x + 1 4 | ---------- dx = C - log(-1 + x) - ------ + log(x) | 2 -1 + x | x*(x - 1) | /
$$\int \frac{3 x + 1}{x \left(x - 1\right)^{2}}\, dx = C + \log{\left(x \right)} - \log{\left(x - 1 \right)} - \frac{4}{x - 1}$$
Use the examples entering the upper and lower limits of integration.