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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of (4x)/(1+x^2)
- Integral of 2x-1/(x-1)(x-2)
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Integral of 2*exp(x)
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Integral of 2/sinx
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Identical expressions
- sqrt(x)/(sqrt(x)+ two)
- square root of (x) divide by ( square root of (x) plus 2)
- square root of (x) divide by ( square root of (x) plus two)
- √(x)/(√(x)+2)
- sqrtx/sqrtx+2
- sqrt(x) divide by (sqrt(x)+2)
- sqrt(x)/(sqrt(x)+2)dx
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Similar expressions
- sqrt(x)/(sqrt(x)-2)
Integral of sqrt(x)/(sqrt(x)+2) dx
The solution
You have entered
[src]
1 / | | ___ | \/ x | --------- dx | ___ | \/ x + 2 | / 0
$$\int\limits_{0}^{1} \frac{\sqrt{x}}{\sqrt{x} + 2}\, dx$$
Integral(sqrt(x)/(sqrt(x) + 2), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | ___ | \/ x ___ / ___\ | --------- dx = C + x - 4*\/ x + 8*log\2 + \/ x / | ___ | \/ x + 2 | /
$$-8\,\left(\sqrt{x}+2\right)+\left(\sqrt{x}+2\right)^2+8\,\log
\left(\sqrt{x}+2\right)$$
The graph
The answer
[src]
-3 - 8*log(2) + 8*log(3)
$$8\,\log 3-8\,\log 2-3$$
=
=
-3 - 8*log(2) + 8*log(3)
$$- 8 \log{\left(2 \right)} - 3 + 8 \log{\left(3 \right)}$$
The graph
Use the examples entering the upper and lower limits of integration.