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- Improper integral
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How to use it?
- Integral of d{x}:
- Integral of (x+6)x+67x!
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Integral of √(x+4)
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Integral of sin³xcosx
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Integral of (3*x^2+14*x+13)/(x+4)
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Identical expressions
- sqrt((six -x)/(x- eighteen))
- square root of ((6 minus x) divide by (x minus 18))
- square root of ((six minus x) divide by (x minus eighteen))
- √((6-x)/(x-18))
- sqrt6-x/x-18
- sqrt((6-x) divide by (x-18))
- sqrt((6-x)/(x-18))dx
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Similar expressions
- sqrt((6-x)/(x+18))
- sqrt((6+x)/(x-18))
Integral of sqrt((6-x)/(x-18)) dx
The solution
You have entered
[src]
15 / | | ________ | / 6 - x | / ------ dx | \/ x - 18 | / 0
$$\int\limits_{0}^{15} \sqrt{\frac{6 - x}{x - 18}}\, dx$$
Integral(sqrt((6 - x)/(x - 18)), (x, 0, 15))
The answer
[src]
/ ___\
___ |\/ 6 | ___
- 3*\/ 3 - 2*pi + 12*asin|-----| + 6*I*\/ 3
\ 2 /
$$- 2 \pi - 3 \sqrt{3} + 12 \operatorname{asin}{\left(\frac{\sqrt{6}}{2} \right)} + 6 \sqrt{3} i$$
=
=
/ ___\
___ |\/ 6 | ___
- 3*\/ 3 - 2*pi + 12*asin|-----| + 6*I*\/ 3
\ 2 /
$$- 2 \pi - 3 \sqrt{3} + 12 \operatorname{asin}{\left(\frac{\sqrt{6}}{2} \right)} + 6 \sqrt{3} i$$
-3*sqrt(3) - 2*pi + 12*asin(sqrt(6)/2) + 6*i*sqrt(3)
Numerical answer
[src]
(7.37213537195294 + 2.48937124574409j)
(7.37213537195294 + 2.48937124574409j)
Use the examples entering the upper and lower limits of integration.