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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of e^(-x/2)
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Integral of (x^2+1)e^-x
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Integral of 1/(x^2-2)
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Integral of 1/(x-3)^2
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Identical expressions
- x/(sqrt(7x-x^ two - ten))
- x divide by ( square root of (7x minus x squared minus 10))
- x divide by ( square root of (7x minus x to the power of two minus ten))
- x/(√(7x-x^2-10))
- x/(sqrt(7x-x2-10))
- x/sqrt7x-x2-10
- x/(sqrt(7x-x²-10))
- x/(sqrt(7x-x to the power of 2-10))
- x/sqrt7x-x^2-10
- x divide by (sqrt(7x-x^2-10))
- x/(sqrt(7x-x^2-10))dx
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Similar expressions
- x/(sqrt(7x+x^2-10))
- x/(sqrt(7x-x^2+10))
Integral of x/(sqrt(7x-x^2-10)) dx
The solution
You have entered
[src]
5 / | | x | ------------------ dx | _______________ | / 2 | \/ 7*x - x - 10 | / 2
$$\int\limits_{2}^{5} \frac{x}{\sqrt{- x^{2} + 7 x - 10}}\, dx$$
The answer (Indefinite)
[src]
/ / 7 2*x\ | ________________ 7*asin|- - + ---| | x / 2 \ 3 3 / | ------------------ dx = C - \/ -10 - x + 7*x + ----------------- | _______________ 2 | / 2 | \/ 7*x - x - 10 | /
$$-\sqrt{-x^2+7\,x-10}-{{7\,\arcsin \left({{7-2\,x}\over{3}}\right)
}\over{2}}$$
The graph
The graph
Use the examples entering the upper and lower limits of integration.