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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/(x^2-5x+6)
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Integral of (1+4x^2)^(1/2)
- Integral of 1/(1+(sin(x))^2)
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Integral of (1+x^4)^(1/2)
- Limit of the function:
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sqrt(4+x^2)/x
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Identical expressions
- sqrt(four +x^ two)/x
- square root of (4 plus x squared ) divide by x
- square root of (four plus x to the power of two) divide by x
- √(4+x^2)/x
- sqrt(4+x2)/x
- sqrt4+x2/x
- sqrt(4+x²)/x
- sqrt(4+x to the power of 2)/x
- sqrt4+x^2/x
- sqrt(4+x^2) divide by x
- sqrt(4+x^2)/xdx
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Similar expressions
- sqrt(4-x^2)/x
Integral of sqrt(4+x^2)/x dx
The solution
You have entered
[src]
1 / | | ________ | / 2 | \/ 4 + x | ----------- dx | x | / 0
$$\int\limits_{0}^{1} \frac{\sqrt{x^{2} + 4}}{x}\, dx$$
Integral(sqrt(4 + x^2)/x, (x, 0, 1))
The answer (Indefinite)
[src]
/
|
| ________
| / 2
| \/ 4 + x /2\ x 4
| ----------- dx = C - 2*asinh|-| + ------------- + ---------------
| x \x/ ________ ________
| / 4 / 4
/ / 1 + -- x* / 1 + --
/ 2 / 2
\/ x \/ x
$$\int \frac{\sqrt{x^{2} + 4}}{x}\, dx = C + \frac{x}{\sqrt{1 + \frac{4}{x^{2}}}} - 2 \operatorname{asinh}{\left(\frac{2}{x} \right)} + \frac{4}{x \sqrt{1 + \frac{4}{x^{2}}}}$$
The graph
The answer
[src]
oo - 2*asinh(2)
$$- 2 \operatorname{asinh}{\left(2 \right)} + \infty$$
=
=
oo - 2*asinh(2)
$$- 2 \operatorname{asinh}{\left(2 \right)} + \infty$$
oo - 2*asinh(2)
Use the examples entering the upper and lower limits of integration.