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Exercise

$\int\sqrt{1-senx}dx$
1

Simplify $\sqrt{1-\sin\left(x\right)}$ into $\sqrt{2}\sin\left(\frac{\pi }{4}+\frac{-x}{2}\right)$ by applying trigonometric identities

$\int\sqrt{2}\sin\left(\frac{\pi }{4}+\frac{-x}{2}\right)dx$

Final answer to the exercise

$\int\sqrt{2}\sin\left(\frac{\pi }{4}+\frac{-x}{2}\right)dx$

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