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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 -1/y
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Integral of e^(x*(-5))
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Integral of ×
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Integral of (4x)/(1+x^2)
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Identical expressions
- sqrt(one +(one /x))
- square root of (1 plus (1 divide by x))
- square root of (one plus (one divide by x))
- √(1+(1/x))
- sqrt1+1/x
- sqrt(1+(1 divide by x))
- sqrt(1+(1/x))dx
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Similar expressions
- (2+2sqrt(x+1/4))sqrt(1+1/(x+1/4))
- sqrt(1+(1/x^2))
- sqrt(1+1/(x^2))
- sqrt(1+1/(x^4))
- sqrt(1-(1/x))
- sqrt(1+1/x)
Integral of sqrt(1+(1/x)) dx
The solution
You have entered
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$$\int\limits_{\sqrt{3}}^{2 \sqrt{2}} \sqrt{1 + \frac{1}{x}}\, dx$$
Integral(sqrt(1 + 1/x), (x, sqrt(3), 2*sqrt(2)))
The answer (Indefinite)
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/ | | _______ | / 1 ___ _______ / ___\ | / 1 + - dx = C + \/ x *\/ 1 + x + asinh\\/ x / | \/ x | /
$$\int \sqrt{1 + \frac{1}{x}}\, dx = C + \sqrt{x} \sqrt{x + 1} + \operatorname{asinh}{\left(\sqrt{x} \right)}$$
The graph
The graph
Use the examples entering the upper and lower limits of integration.