Question

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

Answer 1

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.