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- Integral of d{x}:
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Integral of 1/(2+x^2)
- Integral of x/(x^3-3x+2)
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Integral of -x+4
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Integral of 8/x^2
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Identical expressions
- sqrt(x)/(x+ ten)
- square root of (x) divide by (x plus 10)
- square root of (x) divide by (x plus ten)
- √(x)/(x+10)
- sqrtx/x+10
- sqrt(x) divide by (x+10)
- sqrt(x)/(x+10)dx
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Similar expressions
- sqrt(x)/(x-10)
Integral of sqrt(x)/(x+10) dx
The solution
You have entered
[src]
1 / | | ___ | \/ x | ------ dx | x + 10 | / 0
$$\int\limits_{0}^{1} \frac{\sqrt{x}}{x + 10}\, dx$$
Integral(sqrt(x)/(x + 10), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | ___ / ____ ___\ | \/ x ___ ____ |\/ 10 *\/ x | | ------ dx = C + 2*\/ x - 2*\/ 10 *atan|------------| | x + 10 \ 10 / | /
$$\int \frac{\sqrt{x}}{x + 10}\, dx = C + 2 \sqrt{x} - 2 \sqrt{10} \operatorname{atan}{\left(\frac{\sqrt{10} \sqrt{x}}{10} \right)}$$
The graph
The answer
[src]
/ ____\
____ |\/ 10 |
2 - 2*\/ 10 *atan|------|
\ 10 /
$$- 2 \sqrt{10} \operatorname{atan}{\left(\frac{\sqrt{10}}{10} \right)} + 2$$
=
=
/ ____\
____ |\/ 10 |
2 - 2*\/ 10 *atan|------|
\ 10 /
$$- 2 \sqrt{10} \operatorname{atan}{\left(\frac{\sqrt{10}}{10} \right)} + 2$$
2 - 2*sqrt(10)*atan(sqrt(10)/10)
The graph
Use the examples entering the upper and lower limits of integration.