Mister Exam
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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
- Limits Step by Step
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How to use it?
- Integral of d{x}:
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Integral of sin(5*x)
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Integral of cos(ln(x))
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Integral of sqrt(5-x^2)
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Integral of e^(-0.5x)
- Limit of the function:
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sqrt(5-x^2)
- Graphing y =:
- sqrt(5-x^2)
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Identical expressions
- sqrt(five -x^ two)
- square root of (5 minus x squared )
- square root of (five minus x to the power of two)
- √(5-x^2)
- sqrt(5-x2)
- sqrt5-x2
- sqrt(5-x²)
- sqrt(5-x to the power of 2)
- sqrt5-x^2
- sqrt(5-x^2)dx
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Similar expressions
- sqrt(5+x^2)
Integral of sqrt(5-x^2) dx
The solution
You have entered
[src]
1 / | | ________ | / 2 | \/ 5 - x dx | / 0
$$\int\limits_{0}^{1} \sqrt{- x^{2} + 5}\, dx$$
Integral(sqrt(5 - x^2), (x, 0, 1))
Detail solution
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Add the constant of integration:
SqrtQuadraticRule(a=5, b=0, c=-1, context=sqrt(5 - x**2), symbol=x)
The answer is:
The answer (Indefinite)
[src]
/ / ___\ | |x*\/ 5 | ________ | ________ 5*asin|-------| / 2 | / 2 \ 5 / x*\/ 5 - x | \/ 5 - x dx = C + --------------- + ------------- | 2 2 /
$${{5\,\arcsin \left({{x}\over{\sqrt{5}}}\right)}\over{2}}+{{x\,
\sqrt{5-x^2}}\over{2}}$$
The graph
The answer
[src]
/ ___\
|\/ 5 |
5*asin|-----|
\ 5 /
1 + -------------
2
$${{5\,\arcsin \left({{1}\over{\sqrt{5}}}\right)+2}\over{2}}$$
=
=
/ ___\
|\/ 5 |
5*asin|-----|
\ 5 /
1 + -------------
2
$$1 + \frac{5 \operatorname{asin}{\left(\frac{\sqrt{5}}{5} \right)}}{2}$$
The graph
Use the examples entering the upper and lower limits of integration.