Question

What is the integral of the function f(x) = sin 2x?

Answer 1

The given function is

`f(x)=\sin 2x`

We need to find its integral

`\int \sin 2xdx=`

Since the integral of sin2x = -cos2x divided by the d/dx of 2x

`\begin{gathered} (d)/(dx)(2x)=2 \\ \int \sin 2xdx=-(cos2x)/(2)+C \\ \int \sin 2x=-(1)/(2)\cos 2x+C \end{gathered}`

The answer should be C