sve Idx. 0.1,Find : ) sin’xcos” x p...
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sve Idx. 0.1,Find : ) sin’xcos” x psin’x - cos²x 11: Icon

11th - 12th Class
Maths
Solution
108
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( begin{aligned} int frac{sin ^{2} x}{sin ^{2} x} cos ^{2} x d x &=intleft(sec ^{2} x-operatorname{cosec}^{2} xright) d x &=int sec ^{2} x d x-int operatorname{cosec}^{2} x d x &=tan x+cot x+c=frac{sin x+cos x+c}{cos x}+frac{1}{sin x} &=2 operatorname{cosec} 2 x+c end{aligned} )
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