Evaluate integral of (cos(x)+sin(2x))/(sin(x)) with respect to x

Math
Simplify the numerator.
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Apply the sine doubleangle identity.
Factor out of .
Separate fractions.
Convert from to .
Divide by to get .
Apply the distributive property.
Multiply by to get .
Rewrite in terms of sines and cosines, then cancel the common factors.
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Add parentheses.
Reorder and .
Rewrite in terms of sines and cosines.
Cancel the common factors.
Since integration is linear, the integral of with respect to is .
The integral of with respect to is .
Since is constant with respect to , the integral of with respect to is .
The integral of with respect to is .
Simplify.
Evaluate integral of (cos(x)+sin(2x))/(sin(x)) with respect to x

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