Mister Exam
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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
- Limits Step by Step
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How to use it?
- Integral of d{x}:
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Integral of x^2*e^3x
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Integral of (x^2-3x)/(x^2-6x+8)
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Integral of sqrt(x)/(x+2)
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Integral of sqrt(x^2+9)/x^2
- Derivative of:
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sqrt(x)/(x+2)
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Identical expressions
- sqrt(x)/(x+ two)
- square root of (x) divide by (x plus 2)
- square root of (x) divide by (x plus two)
- √(x)/(x+2)
- sqrtx/x+2
- sqrt(x) divide by (x+2)
- sqrt(x)/(x+2)dx
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Similar expressions
- sqrt(x)/(x-2)
- x^2×sqrt(x)/x-4/sqrt(x)/x+2/sqrt(x)/x
- (sqrt(x))/(x+2)
Integral of sqrt(x)/(x+2) dx
The solution
You have entered
[src]
1 / | | ___ | \/ x | ----- dx | x + 2 | / 0
$$\int\limits_{0}^{1} \frac{\sqrt{x}}{x + 2}\, dx$$
Integral(sqrt(x)/(x + 2), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | ___ / ___ ___\ | \/ x ___ ___ |\/ 2 *\/ x | | ----- dx = C + 2*\/ x - 2*\/ 2 *atan|-----------| | x + 2 \ 2 / | /
$$2\,\sqrt{x}-2^{{{3}\over{2}}}\,\arctan \left({{\sqrt{x}}\over{
\sqrt{2}}}\right)$$
The graph
The answer
[src]
/ ___\
___ |\/ 2 |
2 - 2*\/ 2 *atan|-----|
\ 2 /
$$2-2^{{{3}\over{2}}}\,\arctan \left({{1}\over{\sqrt{2}}}\right)$$
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/ ___\
___ |\/ 2 |
2 - 2*\/ 2 *atan|-----|
\ 2 /
$$- 2 \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2}}{2} \right)} + 2$$
The graph
Use the examples entering the upper and lower limits of integration.