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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of tg2x
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Integral of xsqrt(x²+1)
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Integral of x^3*e^(x*(-2))
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Integral of (x^3-1)^1/2
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Identical expressions
- one /(x^(one / three)- four)
- 1 divide by (x to the power of (1 divide by 3) minus 4)
- one divide by (x to the power of (one divide by three) minus four)
- 1/(x(1/3)-4)
- 1/x1/3-4
- 1/x^1/3-4
- 1 divide by (x^(1 divide by 3)-4)
- 1/(x^(1/3)-4)dx
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Similar expressions
- 1/(x^(1/3)+4)
Integral of 1/(x^(1/3)-4) dx
The solution
You have entered
[src]
125 / | | 1 | 1*--------- dx | 3 ___ | \/ x - 4 | / 27
$$\int\limits_{27}^{125} 1 \cdot \frac{1}{\sqrt[3]{x} - 4}\, dx$$
Integral(1/(x^(1/3) - 1*4), (x, 27, 125))
The answer (Indefinite)
[src]
/ | 2/3 | 1 3 ___ / 3 ___\ 3*x | 1*--------- dx = C + 12*\/ x + 48*log\-4 + \/ x / + ------ | 3 ___ 2 | \/ x - 4 | /
$$24\,\left(x^{{{1}\over{3}}}-4\right)+{{3\,\left(x^{{{1}\over{3}}}-4
\right)^2}\over{2}}+48\,\log \left(x^{{{1}\over{3}}}-4\right)$$
The graph
The graph
Use the examples entering the upper and lower limits of integration.