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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of sin(5x)
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Integral of x*sin2x
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Integral of -x^3
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Integral of sqrt(x^2-9)/x
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Identical expressions
- one /(x(lnx- one)^ four)
- 1 divide by (x(lnx minus 1) to the power of 4)
- one divide by (x(lnx minus one) to the power of four)
- 1/(x(lnx-1)4)
- 1/xlnx-14
- 1/(x(lnx-1)⁴)
- 1/xlnx-1^4
- 1 divide by (x(lnx-1)^4)
- 1/(x(lnx-1)^4)dx
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Similar expressions
- 1/(x(lnx+1)^4)
Integral of 1/(x(lnx-1)^4) dx
The solution
You have entered
[src]
E / | | 1 | --------------- dx | 4 | x*(log(x) - 1) | / 1
$$\int\limits_{1}^{e} \frac{1}{x \left(\log{\left(x \right)} - 1\right)^{4}}\, dx$$
Integral(1/(x*(log(x) - 1)^4), (x, 1, E))
The answer (Indefinite)
[src]
/ | | 1 1 | --------------- dx = C - ------------------------------------- | 4 2 3 | x*(log(x) - 1) -3 - 9*log (x) + 3*log (x) + 9*log(x) | /
$$\int \frac{1}{x \left(\log{\left(x \right)} - 1\right)^{4}}\, dx = C - \frac{1}{3 \log{\left(x \right)}^{3} - 9 \log{\left(x \right)}^{2} + 9 \log{\left(x \right)} - 3}$$
The graph
Use the examples entering the upper and lower limits of integration.