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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of x^5*dx
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Integral of xsin(x+2)
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Integral of 1/(2+cosx)^2
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Integral of (1+x^4)^(1/2)
- Graphing y =:
- sqrt(x^2+25)
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Identical expressions
- sqrt(x^ two + twenty-five)
- square root of (x squared plus 25)
- square root of (x to the power of two plus twenty minus five)
- √(x^2+25)
- sqrt(x2+25)
- sqrtx2+25
- sqrt(x²+25)
- sqrt(x to the power of 2+25)
- sqrtx^2+25
- sqrt(x^2+25)dx
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Similar expressions
- sqrt(x^2-25)
Integral of sqrt(x^2+25) dx
The solution
You have entered
[src]
1 / | | _________ | / 2 | \/ x + 25 dx | / 0
$$\int\limits_{0}^{1} \sqrt{x^{2} + 25}\, dx$$
Integral(sqrt(x^2 + 25), (x, 0, 1))
The answer (Indefinite)
[src]
/ | /x\ _________ | _________ 25*asinh|-| / 2 | / 2 \5/ x*\/ 25 + x | \/ x + 25 dx = C + ----------- + -------------- | 2 2 /
$$\int \sqrt{x^{2} + 25}\, dx = C + \frac{x \sqrt{x^{2} + 25}}{2} + \frac{25 \operatorname{asinh}{\left(\frac{x}{5} \right)}}{2}$$
The graph
The answer
[src]
____ \/ 26 25*asinh(1/5) ------ + ------------- 2 2
$$\frac{25 \operatorname{asinh}{\left(\frac{1}{5} \right)}}{2} + \frac{\sqrt{26}}{2}$$
=
=
____ \/ 26 25*asinh(1/5) ------ + ------------- 2 2
$$\frac{25 \operatorname{asinh}{\left(\frac{1}{5} \right)}}{2} + \frac{\sqrt{26}}{2}$$
sqrt(26)/2 + 25*asinh(1/5)/2
The graph
Use the examples entering the upper and lower limits of integration.