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 tg2x
-
Integral of xsqrt(x²+1)
-
Integral of x^3*e^(x*(-2))
-
Integral of (x^3-1)^1/2
-
Identical expressions
- dx/(x*sqrt(x²+ one))
- dx divide by (x multiply by square root of (x² plus 1))
- dx divide by (x multiply by square root of (x² plus one))
- dx/(x*√(x²+1))
- dx/(xsqrt(x²+1))
- dx/xsqrtx²+1
- dx divide by (x*sqrt(x²+1))
-
Similar expressions
- dx/(x*sqrt(x²-1))
Integral of dx/(x*sqrt(x²+1)) dx
The solution
You have entered
[src]
1 / | | 1 | ------------- dx | ________ | / 2 | x*\/ x + 1 | / 0
$$\int\limits_{0}^{1} \frac{1}{x \sqrt{x^{2} + 1}}\, dx$$
Integral(1/(x*sqrt(x^2 + 1)), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 1 /1\ | ------------- dx = C - asinh|-| | ________ \x/ | / 2 | x*\/ x + 1 | /
$$\int \frac{1}{x \sqrt{x^{2} + 1}}\, dx = C - \operatorname{asinh}{\left(\frac{1}{x} \right)}$$
The graph
Use the examples entering the upper and lower limits of integration.