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How to use it?
- Integral of d{x}:
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Integral of 2
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Integral of sin(log(x))/
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Integral of e^(-2x)
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Integral of e^2
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Identical expressions
- (x^ four + one)/(x²(x+ one)²(x- one))
- (x to the power of 4 plus 1) divide by (x²(x plus 1)²(x minus 1))
- (x to the power of four plus one) divide by (x²(x plus one)²(x minus one))
- (x4+1)/(x²(x+1)²(x-1))
- x4+1/x²x+1²x-1
- (x⁴+1)/(x²(x+1)²(x-1))
- x^4+1/x²x+1²x-1
- (x^4+1) divide by (x²(x+1)²(x-1))
- (x^4+1)/(x²(x+1)²(x-1))dx
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Similar expressions
- (x^4-1)/(x²(x+1)²(x-1))
- (x^4+1)/(x²(x+1)²(x+1))
- (x^4+1)/(x²(x-1)²(x-1))
Integral of (x^4+1)/(x²(x+1)²(x-1)) dx
The solution
You have entered
[src]
1 / | | 4 | x + 1 | ------------------- dx | 2 2 | x *(x + 1) *(x - 1) | / 0
$$\int\limits_{0}^{1} \frac{x^{4} + 1}{x^{2} \left(x + 1\right)^{2} \left(x - 1\right)}\, dx$$
Integral((x^4 + 1)/(((x^2*(x + 1)^2)*(x - 1))), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 4 | x + 1 1 1 log(-1 + x) log(1 + x) | ------------------- dx = C + - + ----- + ----------- - ---------- + log(x) | 2 2 x 1 + x 2 2 | x *(x + 1) *(x - 1) | /
$$\int \frac{x^{4} + 1}{x^{2} \left(x + 1\right)^{2} \left(x - 1\right)}\, dx = C + \log{\left(x \right)} + \frac{\log{\left(x - 1 \right)}}{2} - \frac{\log{\left(x + 1 \right)}}{2} + \frac{1}{x + 1} + \frac{1}{x}$$
The graph
Use the examples entering the upper and lower limits of integration.