Mister Exam
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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 x^2/(x-2)
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Integral of x(1-x)^1/2
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Integral of sqrt(1+1/(x^2))
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Integral of sin(x)*dx/(1+3*cos(x))
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Identical expressions
- sqrt(one + one /(x^ two))
- square root of (1 plus 1 divide by (x squared ))
- square root of (one plus one divide by (x to the power of two))
- √(1+1/(x^2))
- sqrt(1+1/(x2))
- sqrt1+1/x2
- sqrt(1+1/(x²))
- sqrt(1+1/(x to the power of 2))
- sqrt1+1/x^2
- sqrt(1+1 divide by (x^2))
- sqrt(1+1/(x^2))dx
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Similar expressions
- sqrt(1-1/(x^2))
- sqrt(1+(1/x^2))
Integral of sqrt(1+1/(x^2)) dx
The solution
You have entered
[src]
1 / | | ________ | / 1 | / 1 + -- dx | / 2 | \/ x | / 0
$$\int\limits_{0}^{1} \sqrt{1 + \frac{1}{x^{2}}}\, dx$$
Integral(sqrt(1 + 1/(x^2)), (x, 0, 1))
The answer (Indefinite)
[src]
/
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| ________
| / 1 /1\ x 1
| / 1 + -- dx = C - asinh|-| + ------------- + ---------------
| / 2 \x/ ________ ________
| \/ x / 1 / 1
| / 1 + -- x* / 1 + --
/ / 2 / 2
\/ x \/ x
$$\int \sqrt{1 + \frac{1}{x^{2}}}\, dx = C + \frac{x}{\sqrt{1 + \frac{1}{x^{2}}}} - \operatorname{asinh}{\left(\frac{1}{x} \right)} + \frac{1}{x \sqrt{1 + \frac{1}{x^{2}}}}$$
The graph
The graph
Use the examples entering the upper and lower limits of integration.