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- Improper integral
- Double Integral
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How to use it?
- Integral of d{x}:
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Integral of (-1+u)/(1+u^2)
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Integral of 1/(4+x^2)
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Integral of (xe^x)dx
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Integral of x/(x^2-1)^3
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Identical expressions
- sqrtx/((sqrtx)- five)
- square root of x divide by (( square root of x) minus 5)
- square root of x divide by (( square root of x) minus five)
- √x/((√x)-5)
- sqrtx/sqrtx-5
- sqrtx divide by ((sqrtx)-5)
- sqrtx/((sqrtx)-5)dx
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Similar expressions
- sqrtx/((sqrtx)+5)
Integral of sqrtx/((sqrtx)-5) dx
The solution
You have entered
[src]
4 / | | ___ | \/ x | --------- dx | ___ | \/ x - 5 | / 0
$$\int\limits_{0}^{4} \frac{\sqrt{x}}{\sqrt{x} - 5}\, dx$$
Integral(sqrt(x)/(sqrt(x) - 5), (x, 0, 4))
The answer (Indefinite)
[src]
/ | | ___ | \/ x ___ / ___\ | --------- dx = C + x + 10*\/ x + 50*log\-5 + \/ x / | ___ | \/ x - 5 | /
$$\int \frac{\sqrt{x}}{\sqrt{x} - 5}\, dx = C + 10 \sqrt{x} + x + 50 \log{\left(\sqrt{x} - 5 \right)}$$
The graph
The answer
[src]
24 - 50*log(5) + 50*log(3)
$$- 50 \log{\left(5 \right)} + 24 + 50 \log{\left(3 \right)}$$
=
=
24 - 50*log(5) + 50*log(3)
$$- 50 \log{\left(5 \right)} + 24 + 50 \log{\left(3 \right)}$$
24 - 50*log(5) + 50*log(3)
Use the examples entering the upper and lower limits of integration.