Integral of $$$\frac{1}{2}$$$ with respect to $$$s$$$

The calculator will find the integral/antiderivative of $$$\frac{1}{2}$$$ with respect to $$$s$$$, with steps shown.

Related calculator: Definite and Improper Integral Calculator

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Your Input

Find $$$\int \frac{1}{2}\, ds$$$.

Solution

Apply the constant rule $$$\int c\, ds = c s$$$ with $$$c=\frac{1}{2}$$$:

$${\color{red}{\int{\frac{1}{2} d s}}} = {\color{red}{\left(\frac{s}{2}\right)}}$$

Therefore,

$$\int{\frac{1}{2} d s} = \frac{s}{2}$$

Add the constant of integration:

$$\int{\frac{1}{2} d s} = \frac{s}{2}+C$$

Answer

$$$\int \frac{1}{2}\, ds = \frac{s}{2} + C$$$A


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