Integral of sqrt2 dx

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  4         
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1

$$\int\limits_{1}^{4} \sqrt{2}\, dx$$

Integral(sqrt(2), (x, 1, 4))

Detail solution

The integral of a constant is the constant times the variable of integration:

$\int \sqrt{2}\, dx = \sqrt{2} x$
Add the constant of integration:

$\sqrt{2} x+ \mathrm{constant}$

The answer is:

$\sqrt{2} x+ \mathrm{constant}$

The answer (Indefinite) [src]

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 | \/ 2  dx = C + x*\/ 2 
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$$\sqrt{2}\,x$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

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3*\/ 2

$$3\,\sqrt{2}$$

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3*\/ 2

$$3 \sqrt{2}$$

Simplify

Numerical answer [src]

4.24264068711928

4.24264068711928

The graph

Use the examples entering the upper and lower limits of integration.