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The antiderivative of 5x

Sagot :


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

Answer:

[tex]\frac{5}{2} x^2[/tex]

Step-by-step explanation:

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

In this case it is [tex]x^{1+1}[/tex] or [tex]x^{2}[/tex].

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

In this case it is [tex]\frac{5}{2} x^{2}[/tex].