What's the antiderivative of 2u wrt u?

Question

To integrate 2u wrt u, add 1+1 in exponent and denominator which is 2. Then divide 2u squared by 2 in this case u squared. Finally put plus C. The solution is u squared plus C.

Answer 1

anti derivative is the integral

f(x) = 2u = 2u^(1) increase the power by 1, and divide by that result (1+1):

F(x) = 2u^(1+1)/(1+1) = 2u^2)/2 = u^2 + c where c is a constant term

You got it all correct.