Integral of $$$\frac{x}{2}$$$ with respect to $$$t$$$
Related calculator: Definite and Improper Integral Calculator
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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