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## Homework Statement

##\displaystyle \int \sin x \sqrt{1+ \tan ^2 x} dx##

## Homework Equations

## The Attempt at a Solution

So clearly we have that ##\displaystyle \int \sin x \sqrt{\sec ^2 x} dx##, but I am not sure how to proceed. Isn't it true that ##\sqrt{\sec ^2 x} = | \sec x|##? How would I integrate ##\sin x | \sec x |##?