Mister Exam
Other calculators
- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
- Limits Step by Step
-
How to use it?
- Integral of d{x}:
-
Integral of tanx
-
Integral of x^4
-
Integral of (sin(x))^2
- Integral of x+y
-
Identical expressions
- dx/(2e*sqrt(lnx))
- dx divide by (2e multiply by square root of (lnx))
- dx/(2e*√(lnx))
- dx/(2esqrt(lnx))
- dx/2esqrtlnx
- dx divide by (2e*sqrt(lnx))
Integral of dx/(2e*sqrt(lnx)) dx
The solution
You have entered
[src]
oo / | | 1 | -------------- dx | ________ | 2*E*\/ log(x) | / 2 e
$$\int\limits_{e^{2}}^{\infty} \frac{1}{2 e \sqrt{\log{\left(x \right)}}}\, dx$$
Integral(1/((2*E)*sqrt(log(x))), (x, exp(2), oo))
The answer (Indefinite)
[src]
/ / \
| | |
| | 1 | -1
| | ---------- dx|*e
| | ________ |
/ | | \/ log(x) |
| | | |
| 1 \/ /
| -------------- dx = C + ----------------------
| ________ 2
| 2*E*\/ log(x)
|
/
$$\int \frac{1}{2 e \sqrt{\log{\left(x \right)}}}\, dx = C + \frac{\int \frac{1}{\sqrt{\log{\left(x \right)}}}\, dx}{2 e}$$
The graph
The answer
[src]
____ / ___\ -1
I*\/ pi *erfc\I*\/ 2 /*e
oo - --------------------------
2
$$\infty - \frac{i \sqrt{\pi} \operatorname{erfc}{\left(\sqrt{2} i \right)}}{2 e}$$
=
=
____ / ___\ -1
I*\/ pi *erfc\I*\/ 2 /*e
oo - --------------------------
2
$$\infty - \frac{i \sqrt{\pi} \operatorname{erfc}{\left(\sqrt{2} i \right)}}{2 e}$$
oo - i*sqrt(pi)*erfc(i*sqrt(2))*exp(-1)/2
Use the examples entering the upper and lower limits of integration.