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Find the antiderivative of the function. f(x)=10x+3

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An antiderivative of a function is also known as integral of function. We are being ask to integrate the following function.


\int f(x)dx=\int 10x+3dx

This function is relatively easy to integrate because its just a sum of terms with various exponents.


\int 10x+3dx=5x^2+3x+C

To check, you can perform derivative on the function you got from antideriving. If it equals to the original function, then antiderivation procedure was done correctly.


(d)/(dx)5x^2+3x+C=10x+3=f(x).

Et voilà.

Hope this helps.

User BLogan
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