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- Integral of d{x}:
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Integral of 1/(2+x^2)
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Identical expressions
- one /sqrt(x*lnx)
- 1 divide by square root of (x multiply by lnx)
- one divide by square root of (x multiply by lnx)
- 1/√(x*lnx)
- 1/sqrt(xlnx)
- 1/sqrtxlnx
- 1 divide by sqrt(x*lnx)
- 1/sqrt(x*lnx)dx
Integral of 1/sqrt(x*lnx) dx
The solution
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[src]
2 / | | 1 | ------------ dx | __________ | \/ x*log(x) | / 1
$$\int\limits_{1}^{2} \frac{1}{\sqrt{x \log{\left(x \right)}}}\, dx$$
Integral(1/(sqrt(x*log(x))), (x, 1, 2))
The answer
[src]
/ ___ ________\
___ ____ ___ ____ |I*\/ 2 *\/ log(2) |
- I*\/ 2 *\/ pi + I*\/ 2 *\/ pi *erfc|------------------|
\ 2 /
$$- \sqrt{2} i \sqrt{\pi} + \sqrt{2} i \sqrt{\pi} \operatorname{erfc}{\left(\frac{\sqrt{2} i \sqrt{\log{\left(2 \right)}}}{2} \right)}$$
=
=
/ ___ ________\
___ ____ ___ ____ |I*\/ 2 *\/ log(2) |
- I*\/ 2 *\/ pi + I*\/ 2 *\/ pi *erfc|------------------|
\ 2 /
$$- \sqrt{2} i \sqrt{\pi} + \sqrt{2} i \sqrt{\pi} \operatorname{erfc}{\left(\frac{\sqrt{2} i \sqrt{\log{\left(2 \right)}}}{2} \right)}$$
-i*sqrt(2)*sqrt(pi) + i*sqrt(2)*sqrt(pi)*erfc(i*sqrt(2)*sqrt(log(2))/2)
Use the examples entering the upper and lower limits of integration.