Write a value of 
We know that
1 + sin2x = sin2x + cos2x + 2sinxcosx
= (sin x + cos x)2

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Let, sin x + cos x = t
Differentiating both sides with respect to x
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-dt = (sin x – cos x)dx
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Use formula ![]()
y = -log t + c
Again, put t = sin x + cos x
y = -log(sin x + cos x) + c
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