Question

Find the integration of

$\displaystyle \sf \: \int \frac{ \sin^{2}x - \cos ^{2} x}{ \sin \: x. \cos \: x}$​

Answer 1

Note that

∫sin(2x)(sin(x)+cos(x))2dx=∫2sin(x)cos(x)cos2(x)(1+tan(x))2dx=∫2tan(x)(1+tan(x))2dx=∫(1−1+tan2(x)(1+tan(x))2)dx=x+11+tan(x

hope it help uh

Answer 2

refer attachment for ur answer hope it helps