What is the integral of ((sin(2x))/(sin(x))) ?

The integral of ((sin(2x))/(sin(x))) is 2sin(x)+C

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integral of ((sin(2x))/(sin(x)))

\int (\frac{sin ( 2 x )}{sin ( x )}) d x

2 sin (x) + C

Solution steps

\int \frac{sin ( 2 x )}{sin ( x )} d x

Rewrite using trig identities

= \int 2 cos (x) d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 2 \cdot \int cos (x) d x

Use the common integral:

\int cos (x) d x = sin (x)

= 2 sin (x)

Add a constant to the solution

= 2 sin (x) + C

3 - 2 e^{x}

\frac{\partial}{\partial x} (x + y + 4)

6 z e^{z} + 3 e^{z} z^{2}

\frac{( s - 1 )}{( s - 1 ) ( s - 3 )}

2 t^{- \frac{3}{4}}

What is the integral of ((sin(2x))/(sin(x))) ?
The integral of ((sin(2x))/(sin(x))) is 2sin(x)+C