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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
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How to use it?
- Integral of d{x}:
- Integral of (xcosx)/(2+3x^3)
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Integral of 1/(3*x)
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Integral of 1/(2x^2-2x+3)
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Integral of 1/(1+5x)
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Identical expressions
- sqrt((x- one)/(x+ two))
- square root of ((x minus 1) divide by (x plus 2))
- square root of ((x minus one) divide by (x plus two))
- √((x-1)/(x+2))
- sqrtx-1/x+2
- sqrt((x-1) divide by (x+2))
- sqrt((x-1)/(x+2))dx
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Similar expressions
- sqrt((x-1)/(x-2))
- sqrt((x+1)/(x+2))
Integral of sqrt((x-1)/(x+2)) dx
The solution
You have entered
[src]
1 / | | _______ | / x - 1 | / ----- dx | \/ x + 2 | / 0
$$\int\limits_{0}^{1} \sqrt{\frac{x - 1}{x + 2}}\, dx$$
Integral(sqrt((x - 1)/(x + 2)), (x, 0, 1))
The answer
[src]
/ ___\
___ |\/ 6 | 3*pi*I
- I*\/ 2 - 3*I*asin|-----| + ------
\ 3 / 2
$$- 3 i \operatorname{asin}{\left(\frac{\sqrt{6}}{3} \right)} - \sqrt{2} i + \frac{3 i \pi}{2}$$
=
=
/ ___\
___ |\/ 6 | 3*pi*I
- I*\/ 2 - 3*I*asin|-----| + ------
\ 3 / 2
$$- 3 i \operatorname{asin}{\left(\frac{\sqrt{6}}{3} \right)} - \sqrt{2} i + \frac{3 i \pi}{2}$$
-i*sqrt(2) - 3*i*asin(sqrt(6)/3) + 3*pi*i/2
Use the examples entering the upper and lower limits of integration.