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

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

Related calculator: Definite and Improper Integral Calculator

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Your Input

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

Solution

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

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

Therefore,

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

Add the constant of integration:

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

Answer

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


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