Question

What is the antiderivative of

Answer 1

\[\Huge e^{2x}\]

Answer 2

How did you figure that out?

Answer 3

It is chain rule right?

Answer 4

\[\int\limits e^{2x}dx=\frac{ e^{2x} }{ 2 }+c\]

Answer 5

you can make a substition for u=2x, du = 2, and solve that way
the integral of e^u is the same e^u

Answer 6

u=2x,
du=2 dx, dx=du/2
\[\large \frac{ 1 }{ 2 } \int\limits e^u*du=\frac{ 1 }{ 2 } e^u+C\]

Answer 7

Ok I see, thank you.