indefinite-integration

Question: If $\int_{{}}^{{}}{(\sin 2x-\cos 2x)}\ dx=\frac{1}{\sqrt{2}}\sin (2x-a)+b$, then



1) $a=\frac{\pi }{4},\ b=0$
2) $a=-\frac{\pi }{4},\ b=0$
3) $a=\frac{5\pi }{4},\ b=$any constant
4) $a=-\frac{5\pi }{4},\ b=$any constant
Solution: Explanation: No Explanation
Fundamental integration

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