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 cotx
- Integral of xlnxdx
-
Integral of tan⁵x
-
Integral of ln2x
- Graphing y =:
- 1/(x*sqrt(1+lnx))
-
Identical expressions
- one /(x*sqrt(one +lnx))
- 1 divide by (x multiply by square root of (1 plus lnx))
- one divide by (x multiply by square root of (one plus lnx))
- 1/(x*√(1+lnx))
- 1/(xsqrt(1+lnx))
- 1/xsqrt1+lnx
- 1 divide by (x*sqrt(1+lnx))
- 1/(x*sqrt(1+lnx))dx
-
Similar expressions
- 1/xsqrt(1+lnx)
- 1/xsqrt1+lnx
- 1/x*sqrt(1+lnx)
- 1/(x(sqrt1+lnx))
- (1)/x*sqrt(1+lnx)
- 1/(x*sqrt(1-lnx))
Integral of 1/(x*sqrt(1+lnx)) dx
The solution
You have entered
[src]
2 e / | | 1 | ---------------- dx | ____________ | x*\/ 1 + log(x) | / 1
$$\int\limits_{1}^{e^{2}} \frac{1}{x \sqrt{\log{\left(x \right)} + 1}}\, dx$$
Integral(1/(x*sqrt(1 + log(x))), (x, 1, exp(2)))
The answer (Indefinite)
[src]
/ | | 1 ____________ | ---------------- dx = C + 2*\/ 1 + log(x) | ____________ | x*\/ 1 + log(x) | /
$$\int \frac{1}{x \sqrt{\log{\left(x \right)} + 1}}\, dx = C + 2 \sqrt{\log{\left(x \right)} + 1}$$
The graph
The answer
[src]
___ -2 + 2*\/ 3
$$-2 + 2 \sqrt{3}$$
=
=
___ -2 + 2*\/ 3
$$-2 + 2 \sqrt{3}$$
-2 + 2*sqrt(3)
Use the examples entering the upper and lower limits of integration.