Mister Exam
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- Improper integral
- Double Integral
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- Derivative Step by Step
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How to use it?
- Integral of d{x}:
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Integral of sin²xcos²x
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Integral of 1/(x(x+2))
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Integral of (1+2x^2)/(x^2(1+x^2))
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Integral of -15x^2
- Derivative of:
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sqrt(2+x^2)
- Limit of the function:
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sqrt(2+x^2)
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Identical expressions
- sqrt(two +x^ two)
- square root of (2 plus x squared )
- square root of (two plus x to the power of two)
- √(2+x^2)
- sqrt(2+x2)
- sqrt2+x2
- sqrt(2+x²)
- sqrt(2+x to the power of 2)
- sqrt2+x^2
- sqrt(2+x^2)dx
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Similar expressions
- sqrt(2-x^2)
Integral of sqrt(2+x^2) dx
The solution
You have entered
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\/ 2
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-\/ 2
$$\int\limits_{- \sqrt{2}}^{\sqrt{2}} \sqrt{x^{2} + 2}\, dx$$
Integral(sqrt(2 + x^2), (x, -sqrt(2), sqrt(2)))
The answer (Indefinite)
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/ | ________ | ________ / 2 / ___\ | / 2 x*\/ 2 + x |x*\/ 2 | | \/ 2 + x dx = C + ------------- + asinh|-------| | 2 \ 2 / /
$$\int \sqrt{x^{2} + 2}\, dx = C + \frac{x \sqrt{x^{2} + 2}}{2} + \operatorname{asinh}{\left(\frac{\sqrt{2} x}{2} \right)}$$
The graph
The answer
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/ ___\ ___ / ___\ - log\-1 + \/ 2 / + 2*\/ 2 + log\1 + \/ 2 /
$$- \log{\left(-1 + \sqrt{2} \right)} + \log{\left(1 + \sqrt{2} \right)} + 2 \sqrt{2}$$
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/ ___\ ___ / ___\ - log\-1 + \/ 2 / + 2*\/ 2 + log\1 + \/ 2 /
$$- \log{\left(-1 + \sqrt{2} \right)} + \log{\left(1 + \sqrt{2} \right)} + 2 \sqrt{2}$$
-log(-1 + sqrt(2)) + 2*sqrt(2) + log(1 + sqrt(2))
Use the examples entering the upper and lower limits of integration.