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- Improper integral
- Double Integral
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How to use it?
- Integral of d{x}:
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Integral of x^3/(x-1)
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Integral of x*2^x
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Integral of sin^5
- Integral of x^2*a^x
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Identical expressions
- x(five -x)/sqrt(twenty-five -x^ two)
- x(5 minus x) divide by square root of (25 minus x squared )
- x(five minus x) divide by square root of (twenty minus five minus x to the power of two)
- x(5-x)/√(25-x^2)
- x(5-x)/sqrt(25-x2)
- x5-x/sqrt25-x2
- x(5-x)/sqrt(25-x²)
- x(5-x)/sqrt(25-x to the power of 2)
- x5-x/sqrt25-x^2
- x(5-x) divide by sqrt(25-x^2)
- x(5-x)/sqrt(25-x^2)dx
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Similar expressions
- x(5+x)/sqrt(25-x^2)
- x(5-x)/sqrt(25+x^2)
Integral of x(5-x)/sqrt(25-x^2) dx
The solution
You have entered
[src]
1 / | | x*(5 - x) | ------------ dx | _________ | / 2 | \/ 25 - x | / 0
$$\int\limits_{0}^{1} \frac{x \left(- x + 5\right)}{\sqrt{- x^{2} + 25}}\, dx$$
Integral(x*(5 - x)/(sqrt(25 - x^2)), (x, 0, 1))
The answer (Indefinite)
[src]
/ /x\ | 25*asin|-| _________ | x*(5 - x) \5/ / 2 / x\ | ------------ dx = C - ---------- + \/ 25 - x *|-5 + -| | _________ 2 \ 2/ | / 2 | \/ 25 - x | /
$${{x\,\sqrt{25-x^2}}\over{2}}-5\,\sqrt{25-x^2}-{{25\,\arcsin \left(
{{x}\over{5}}\right)}\over{2}}$$
The graph
The answer
[src]
___ 25*asin(1/5)
25 - 9*\/ 6 - ------------
2
$$-{{25\,\arcsin \left({{1}\over{5}}\right)+3\,6^{{{3}\over{2}}}-50
}\over{2}}$$
=
=
___ 25*asin(1/5)
25 - 9*\/ 6 - ------------
2
$$- 9 \sqrt{6} - \frac{25 \operatorname{asin}{\left(\frac{1}{5} \right)}}{2} + 25$$
The graph
Use the examples entering the upper and lower limits of integration.