2 If ₀ x x+ cosec x d x=m( +n) , then (m.n) equals

Step-by-step solution

aligned & ₀^ 2 x x+ cosec x d x= ₀^ 2 x x+1 d x & = ₀^ 2 2 ^2 x 2 -1 2 ^2 x 2 d x= ₀^ 2 (1- 1 2 ^2 x 2 ) d x & = [x- x 2 ]₀^ / 2 = 2 -1= 1 2 ( +(-2)) & m= 1 2 and n=-2 & m n = 1 2 (-2)=-1 aligned