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Question Number 64080 by Chi Mes Try last updated on 12/Jul/19

∫((sin x−cos x)/(√(1−sin 2x))) e^(sin x) cos x dx =

$$\int\frac{\mathrm{sin}\:{x}−\mathrm{cos}\:{x}}{\sqrt{\mathrm{1}−\mathrm{sin}\:\mathrm{2}{x}}}\:{e}^{\mathrm{sin}\:{x}} \mathrm{cos}\:{x}\:{dx}\:= \\ $$

Commented by som(math1967) last updated on 13/Jul/19

e^(sinx) +c

$${e}^{{sinx}} +{c} \\ $$

Commented by mhmd last updated on 08/Sep/19

$$ \\ $$

Answered by mind is power last updated on 08/Sep/19

1−sin(2x)=(cos(x)−sin(x))^2

$$\mathrm{1}−{sin}\left(\mathrm{2}{x}\right)=\left({cos}\left({x}\right)−{sin}\left({x}\right)\right)^{\mathrm{2}} \\ $$

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