What is the antiderivitive of g(x)= cos(2x)?

Answer 1

21^

Answer 2

g(x) = cos(2x)

The antiderivative (which we'll call G(x) ) of cos(2x) is

G(x) = (1/2) sin(2x) + C

To show this, let's take the derivative of G(x).

G'(x) = (1/2) cos(2x) {2}

Note that I have to apply the chain rule because there is 2x on the inside. I denote the usage of the chain rule using the squiggly brackets { }.

That simplfies into

G'(x) = 2(1/2) cos(2x)
G'(x) = cos(2x)

Answer 3

-2sin(2x)

Answer 4

ya...