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Verified Answer :


The antiderivate of 5x is 5x^2 / 2 .

Answer:

\(\frac{5}{2} x^2\)

Step-by-step explanation:

For simple antiderivatives like this, I usually add a degree to the x. (\(x^{n+1}\))

In this case it is \(x^{1+1}\) or \(x^{2}\).

Then, I take the coefficient and divide it by the new power degree. (\(\frac{a}{n} x^{n}\))

In this case it is \(\frac{5}{2} x^{2}\).