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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 1/sqrt(x^2+1)
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Integral of x^3*ln(x)
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Integral of x(x^2+3)
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Integral of x^2*lnx
- Graphing y =:
- sqrt(x-2)/(x+2)
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Identical expressions
- sqrt(x- two)/(x+ two)
- square root of (x minus 2) divide by (x plus 2)
- square root of (x minus two) divide by (x plus two)
- √(x-2)/(x+2)
- sqrtx-2/x+2
- sqrt(x-2) divide by (x+2)
- sqrt(x-2)/(x+2)dx
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Similar expressions
- sqrt((x-2)/(x+2))
- sqrt(x+2)/(x+2)
- sqrt(x-2)/(x-2)
Integral of sqrt(x-2)/(x+2) dx
The solution
You have entered
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1 / | | _______ | \/ x - 2 | --------- dx | x + 2 | / 0
$$\int\limits_{0}^{1} \frac{\sqrt{x - 2}}{x + 2}\, dx$$
Integral(sqrt(x - 2)/(x + 2), (x, 0, 1))
The answer (Indefinite)
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/ | | _______ / ________\ | \/ x - 2 |\/ -2 + x | ________ | --------- dx = C - 4*atan|----------| + 2*\/ -2 + x | x + 2 \ 2 / | /
$$\int \frac{\sqrt{x - 2}}{x + 2}\, dx = C + 2 \sqrt{x - 2} - 4 \operatorname{atan}{\left(\frac{\sqrt{x - 2}}{2} \right)}$$
The graph
The answer
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/ ___\
|2*\/ 3 | ___ / ___\
2*I - 4*I*acosh|-------| - 2*I*\/ 2 + 4*I*acosh\\/ 2 /
\ 3 /
$$- 2 \sqrt{2} i - 4 i \operatorname{acosh}{\left(\frac{2 \sqrt{3}}{3} \right)} + 2 i + 4 i \operatorname{acosh}{\left(\sqrt{2} \right)}$$
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/ ___\
|2*\/ 3 | ___ / ___\
2*I - 4*I*acosh|-------| - 2*I*\/ 2 + 4*I*acosh\\/ 2 /
\ 3 /
$$- 2 \sqrt{2} i - 4 i \operatorname{acosh}{\left(\frac{2 \sqrt{3}}{3} \right)} + 2 i + 4 i \operatorname{acosh}{\left(\sqrt{2} \right)}$$
2*i - 4*i*acosh(2*sqrt(3)/3) - 2*i*sqrt(2) + 4*i*acosh(sqrt(2))
Use the examples entering the upper and lower limits of integration.