Ex 7.3, 14 - Chapter 7 Class 12 Integrals

Transcript

Ex 7.3, 14 cos sin /(1 + sin 2 ) 1 cos sin /(1 + sin 2 ) = 1 cos sin /(1 + 2 sin cos ) = 1 cos sin /(sin^2 + cos^2 + 2 sin cos ) = 1 cos sin /(sin + cos )^2 Let sin +cos = Differentiating w.r.t.x (sin + cos )/ = / cos sin = / = /(cos sin ) Thus, our equation becomes 1 ((cos sin ))/(sin + cos )^2 = 1 ((cos sin ))/ ^2 /cos sin = 1 / ^2 = 1 ^( 2) = ^( 2 +1)/( 2 + 1) + = ^( 1)/( 1) + =( 1)/ + Putting value of = + =( )/( + ) +