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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 (4-x^2)^(1/2)
- Integral of x^2/(x-1)
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Integral of x*2
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Integral of ln(x-1)
- Derivative of:
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sqrt(4-x^2)
- Graphing y =:
- sqrt(4-x^2)
- Limit of the function:
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sqrt(4-x^2)
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Identical expressions
- sqrt(four -x^ two)
- square root of (4 minus x squared )
- square root of (four minus x to the power of two)
- √(4-x^2)
- sqrt(4-x2)
- sqrt4-x2
- sqrt(4-x²)
- sqrt(4-x to the power of 2)
- sqrt4-x^2
- sqrt(4-x^2)dx
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Similar expressions
- xsqrt(4-x^2)
- sqrt(4+x^2)
Integral of sqrt(4-x^2) dx
The solution
You have entered
[src]
2 / | | ________ | / 2 | \/ 4 - x dx | / 0
$$\int\limits_{0}^{2} \sqrt{4 - x^{2}}\, dx$$
Integral(sqrt(4 - x^2), (x, 0, 2))
Detail solution
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Add the constant of integration:
SqrtQuadraticRule(a=4, b=0, c=-1, context=sqrt(4 - x**2), symbol=x)
The answer is:
The answer (Indefinite)
[src]
/ | ________ | ________ / 2 | / 2 /x\ x*\/ 4 - x | \/ 4 - x dx = C + 2*asin|-| + ------------- | \2/ 2 /
$$\int \sqrt{4 - x^{2}}\, dx = C + \frac{x \sqrt{4 - x^{2}}}{2} + 2 \operatorname{asin}{\left(\frac{x}{2} \right)}$$
The graph
The graph
Use the examples entering the upper and lower limits of integration.