2x dx ( + )^2 = - Vidyadip

MCQ

$\int\frac{\cos2\text{x dx}}{(\sin\text{x}+\cos\text{x})^2}=$

A
$-\frac{1}{\sin\text{x}+\cos\text{x}}+\text{c}$
✓
$\log|\sin\text{x}+\cos\text{x }|+\text{c}$
C
$\log|\sin\text{x}-\cos\text{x }|+\text{c}$
D
$\frac{1}{(\sin\text{x}+\cos\text{x})^2}$

✓

Answer

Correct option: B.

$\log|\sin\text{x}+\cos\text{x }|+\text{c}$

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