1.

find intergel :\( \int \sqrt{1+\cos 2 x \cdot d x} \)

Answer»

\(\sqrt{1+cos\,2x}\) dx

= ∫\(\sqrt{1+2\,cos^2x-1}\) dx (∵ cos 2x = 2 cos2x - 1)

= ∫√2 cos x dx

= √2 sin x+c (∵ ∫cos x dx = sin x)



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