Integral of $$$\frac{\sqrt{2}}{2}$$$ with respect to $$$t$$$

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

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

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

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

Therefore,

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

Add the constant of integration:

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

$$$\int \frac{\sqrt{2}}{2}\, dt = \frac{\sqrt{2} t}{2} + C$$$A

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