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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
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How to use it?
- Integral of d{x}:
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Integral of 1/(x(1-x))
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Integral of sin^3(x)/cos^2(x)
- Integral of ln(x+(1+x^2)^(1/2))
- Integral of e^x^2(ln2^(x/2))
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Identical expressions
- lnx/(x(one +lnx)^ one / two)
- lnx divide by (x(1 plus lnx) to the power of 1 divide by 2)
- lnx divide by (x(one plus lnx) to the power of one divide by two)
- lnx/(x(1+lnx)1/2)
- lnx/x1+lnx1/2
- lnx/x1+lnx^1/2
- lnx divide by (x(1+lnx)^1 divide by 2)
- lnx/(x(1+lnx)^1/2)dx
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Similar expressions
- lnx/(x(1-lnx)^1/2)
Integral of lnx/(x(1+lnx)^1/2) dx
The solution
You have entered
[src]
1 / | | log(x) | ---------------- dx | ____________ | x*\/ 1 + log(x) | / 0
$$\int\limits_{0}^{1} \frac{\log{\left(x \right)}}{x \sqrt{\log{\left(x \right)} + 1}}\, dx$$
Integral(log(x)/((x*sqrt(1 + log(x)))), (x, 0, 1))
The answer (Indefinite)
[src]
/ | 3/2 | log(x) ____________ 2*(1 + log(x)) | ---------------- dx = C - 2*\/ 1 + log(x) + ----------------- | ____________ 3 | x*\/ 1 + log(x) | /
$${{2\,\left(\log x+1\right)^{{{3}\over{2}}}}\over{3}}-2\,\sqrt{\log
x+1}$$
The answer
[src]
-4/3 + oo*I
$$\int_{0}^{1}{{{\log x}\over{x\,\sqrt{\log x+1}}}\;dx}$$
=
=
-4/3 + oo*I
$$- \frac{4}{3} + \infty i$$
Numerical answer
[src]
(-1.0818887836703 + 202.533724926781j)
(-1.0818887836703 + 202.533724926781j)
Use the examples entering the upper and lower limits of integration.