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- Improper integral
- Double Integral
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- Curvilinear 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
- How do you in partial fractions?:
- (x+1)/(x^3-1)
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Identical expressions
- (x+ one)/(x^ three - one)
- (x plus 1) divide by (x cubed minus 1)
- (x plus one) divide by (x to the power of three minus one)
- (x+1)/(x3-1)
- x+1/x3-1
- (x+1)/(x³-1)
- (x+1)/(x to the power of 3-1)
- x+1/x^3-1
- (x+1) divide by (x^3-1)
- (x+1)/(x^3-1)dx
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Similar expressions
- (x-1)/(x^3-1)
- (x+1)/(x^3+1)
Integral of (x+1)/(x^3-1) dx
The solution
You have entered
[src]
1 / | | x + 1 | ------ dx | 3 | x - 1 | / 0
$$\int\limits_{0}^{1} \frac{x + 1}{x^{3} - 1}\, dx$$
Integral((x + 1)/(x^3 - 1), (x, 0, 1))
The answer (Indefinite)
[src]
/ | / 2\ | x + 1 log\1 + x + x / 2*log(-1 + x) | ------ dx = C - --------------- + ------------- | 3 3 3 | x - 1 | /
$$\int \frac{x + 1}{x^{3} - 1}\, dx = C + \frac{2 \log{\left(x - 1 \right)}}{3} - \frac{\log{\left(x^{2} + x + 1 \right)}}{3}$$
The graph
The answer
[src]
2*pi*I
-oo - ------
3
$$-\infty - \frac{2 i \pi}{3}$$
=
=
2*pi*I
-oo - ------
3
$$-\infty - \frac{2 i \pi}{3}$$
-oo - 2*pi*i/3
The graph
Use the examples entering the upper and lower limits of integration.