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

What Is The Integral Of The Function Fx Sin 2x class=

Sagot :

The given function is

[tex]f(x)=\sin 2x[/tex]

We need to find its integral

[tex]\int \sin 2xdx=[/tex]

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

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

The answer should be C

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