What's the antiderivative of 2x?
Integration of 2x:
∫2x dx = x2 + C
Where C is the constant.
Using the Power Rule of Integration and Antiderivative Rule for Scalar Multiple of Function, we get:
∫2x dx = 2 ∫x dx
= 2 ∫x1 dx
= 2 [x1+1/(1 + 1)] + C
= 2 x2/2 + C
= x2 + C