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 1-7*x^2
-
Integral of sqrt(x^2-9)/x
- Integral of ln(ln(x))/x
- Integral of sin(w*t)^2
-
Identical expressions
- sqrt(x^ two - nine)/x
- square root of (x squared minus 9) divide by x
- square root of (x to the power of two minus nine) divide by x
- √(x^2-9)/x
- sqrt(x2-9)/x
- sqrtx2-9/x
- sqrt(x²-9)/x
- sqrt(x to the power of 2-9)/x
- sqrtx^2-9/x
- sqrt(x^2-9) divide by x
- sqrt(x^2-9)/xdx
-
Similar expressions
- sqrt(x^2+9)/x
Integral of sqrt(x^2-9)/x dx
The solution
You have entered
[src]
1 / | | ________ | / 2 | \/ x - 9 | ----------- dx | x | / 0
$$\int\limits_{0}^{1} \frac{\sqrt{x^{2} - 9}}{x}\, dx$$
Integral(sqrt(x^2 - 9)/x, (x, 0, 1))
The answer (Indefinite)
[src]
/ | | ________ | / 2 // _________ \ | \/ x - 9 || / 2 /3\ | | ----------- dx = C + |<\/ -9 + x - 3*acos|-| for And(x > -3, x < 3)| | x || \x/ | | \\ / /
$$\int \frac{\sqrt{x^{2} - 9}}{x}\, dx = C + \begin{cases} \sqrt{x^{2} - 9} - 3 \operatorname{acos}{\left(\frac{3}{x} \right)} & \text{for}\: x > -3 \wedge x < 3 \end{cases}$$
The graph
The graph
Use the examples entering the upper and lower limits of integration.