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- Improper integral
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How to use it?
- Integral of d{x}:
- Integral of sqrt(x^2+y^2)
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Integral of tan^2(4x)
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Integral of x⁸dx
- Integral of 27x
- Canonical form:
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sqrt(x^2+y^2)
- The double integral of:
- sqrt(x^2+y^2)
- sqrt(x^2+y^2)
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Identical expressions
- sqrt(x^ two +y^ two)
- square root of (x squared plus y squared )
- square root of (x to the power of two plus y to the power of two)
- √(x^2+y^2)
- sqrt(x2+y2)
- sqrtx2+y2
- sqrt(x²+y²)
- sqrt(x to the power of 2+y to the power of 2)
- sqrtx^2+y^2
- sqrt(x^2+y^2)dx
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Similar expressions
- sqrt(x^2-y^2)
Integral of sqrt(x^2+y^2) dx
The solution
You have entered
[src]
1 / | | _________ | / 2 2 | \/ x + y dx | / 0
$$\int\limits_{0}^{1} \sqrt{x^{2} + y^{2}}\, dx$$
Integral(sqrt(x^2 + y^2), (x, 0, 1))
The answer (Indefinite)
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________
/ 2
/ / x
| 2 /x\ x*y* / 1 + --
| _________ y *asinh|-| / 2
| / 2 2 \y/ \/ y
| \/ x + y dx = C + ----------- + ------------------
| 2 2
/
$$\int \sqrt{x^{2} + y^{2}}\, dx = C + \frac{x y \sqrt{\frac{x^{2}}{y^{2}} + 1}}{2} + \frac{y^{2} \operatorname{asinh}{\left(\frac{x}{y} \right)}}{2}$$
Use the examples entering the upper and lower limits of integration.