Integral of $$$\frac{\sqrt{2}}{2}$$$

The calculator will find the integral/antiderivative of $$$\frac{\sqrt{2}}{2}$$$, with steps shown.

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Your Input

Find $$$\int \frac{\sqrt{2}}{2}\, dx$$$.

Solution

Apply the constant rule $$$\int c\, dx = c x$$$ with $$$c=\frac{\sqrt{2}}{2}$$$:

$${\color{red}{\int{\frac{\sqrt{2}}{2} d x}}} = {\color{red}{\left(\frac{\sqrt{2} x}{2}\right)}}$$

Therefore,

$$\int{\frac{\sqrt{2}}{2} d x} = \frac{\sqrt{2} x}{2}$$

Add the constant of integration:

$$\int{\frac{\sqrt{2}}{2} d x} = \frac{\sqrt{2} x}{2}+C$$

Answer

$$$\int \frac{\sqrt{2}}{2}\, dx = \frac{\sqrt{2} x}{2} + C$$$A


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