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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of x^(2/3)*dx
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Integral of 1/(x^2-2*x)
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Integral of -x^2+9
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Integral of tg^5x/cos^2x
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Identical expressions
- sqrt((x- five)/(x+ three))
- square root of ((x minus 5) divide by (x plus 3))
- square root of ((x minus five) divide by (x plus three))
- √((x-5)/(x+3))
- sqrtx-5/x+3
- sqrt((x-5) divide by (x+3))
- sqrt((x-5)/(x+3))dx
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Similar expressions
- sqrt((x-5)/(x-3))
- sqrt((x+5)/(x+3))
Integral of sqrt((x-5)/(x+3)) dx
The solution
You have entered
[src]
1 / | | _______ | / x - 5 | / ----- dx | \/ x + 3 | / 0
$$\int\limits_{0}^{1} \sqrt{\frac{x - 5}{x + 3}}\, dx$$
Integral(sqrt((x - 5)/(x + 3)), (x, 0, 1))
The answer
[src]
/ ___\
____ |\/ 6 |
4*I - I*\/ 15 - 8*I*asin|-----| + 2*pi*I
\ 4 /
$$- 8 i \operatorname{asin}{\left(\frac{\sqrt{6}}{4} \right)} - \sqrt{15} i + 4 i + 2 i \pi$$
=
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/ ___\
____ |\/ 6 |
4*I - I*\/ 15 - 8*I*asin|-----| + 2*pi*I
\ 4 /
$$- 8 i \operatorname{asin}{\left(\frac{\sqrt{6}}{4} \right)} - \sqrt{15} i + 4 i + 2 i \pi$$
4*i - i*sqrt(15) - 8*i*asin(sqrt(6)/4) + 2*pi*i
Use the examples entering the upper and lower limits of integration.