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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of e^(2*x)*dx
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Integral of y^(-3)
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Integral of x/(3x²-1)^4
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Integral of x^2/(√(1-x^2))
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Identical expressions
- sqrt(x^ two - twenty-five)/x^ two
- square root of (x squared minus 25) divide by x squared
- square root of (x to the power of two minus twenty minus five) divide by x to the power of two
- √(x^2-25)/x^2
- sqrt(x2-25)/x2
- sqrtx2-25/x2
- sqrt(x²-25)/x²
- sqrt(x to the power of 2-25)/x to the power of 2
- sqrtx^2-25/x^2
- sqrt(x^2-25) divide by x^2
- sqrt(x^2-25)/x^2dx
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Similar expressions
- sqrt(x^2+25)/x^2
Integral of sqrt(x^2-25)/x^2 dx
The solution
You have entered
[src]
1 / | | _________ | / 2 | \/ x - 25 | ------------ dx | 2 | x | / 0
$$\int\limits_{0}^{1} \frac{\sqrt{x^{2} - 25}}{x^{2}}\, dx$$
Integral(sqrt(x^2 - 25)/x^2, (x, 0, 1))
The answer (Indefinite)
[src]
/ | | _________ __________ | / 2 / 2 | \/ x - 25 \/ -25 + x /x\ | ------------ dx = C - ------------- + acosh|-| | 2 x \5/ | x | /
$$\int \frac{\sqrt{x^{2} - 25}}{x^{2}}\, dx = C + \operatorname{acosh}{\left(\frac{x}{5} \right)} - \frac{\sqrt{x^{2} - 25}}{x}$$
The graph
The answer
[src]
___ oo*I - 2*I*\/ 6 + acosh(1/5)
$$- 2 \sqrt{6} i + \operatorname{acosh}{\left(\frac{1}{5} \right)} + \infty i$$
=
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___ oo*I - 2*I*\/ 6 + acosh(1/5)
$$- 2 \sqrt{6} i + \operatorname{acosh}{\left(\frac{1}{5} \right)} + \infty i$$
oo*i - 2*i*sqrt(6) + acosh(1/5)
The graph
Use the examples entering the upper and lower limits of integration.