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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of dxdx
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Integral of x^3+x
- Integral of cos(3*x-pi/4)
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Integral of sin2xe^cos2x
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Identical expressions
- 4x^ three /((x^ eight)+ one)
- 4x cubed divide by ((x to the power of 8) plus 1)
- 4x to the power of three divide by ((x to the power of eight) plus one)
- 4x3/((x8)+1)
- 4x3/x8+1
- 4x³/((x⁸)+1)
- 4x to the power of 3/((x to the power of 8)+1)
- 4x^3/x^8+1
- 4x^3 divide by ((x^8)+1)
- 4x^3/((x^8)+1)dx
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Similar expressions
- 4x^3/((x^8)-1)
Integral of 4x^3/((x^8)+1) dx
The solution
You have entered
[src]
oo / | | 3 | 4*x | ------ dx | 8 | x + 1 | / 0
$$\int\limits_{0}^{\infty} \frac{4 x^{3}}{x^{8} + 1}\, dx$$
Integral((4*x^3)/(x^8 + 1), (x, 0, oo))
The answer (Indefinite)
[src]
/ | | 3 | 4*x / 4\ | ------ dx = C + atan\x / | 8 | x + 1 | /
$$\int \frac{4 x^{3}}{x^{8} + 1}\, dx = C + \operatorname{atan}{\left(x^{4} \right)}$$
The graph
The graph
Use the examples entering the upper and lower limits of integration.