₀^ / 2 200 x+100 x x+ x d x is equal to

Step-by-step solution

Let aligned I & = ₀^ / 2 200 x+100 x x+ x d x & =100 ₀^ / 2 ( x+ x)+ x x+ x d x & =100 [ ₀^ / 2 1 d x+ ₀^ / 2 x x+ x d x ] aligned = ₀^ / 2 ( 2 -x ) ( 2 -x )+ ( 2 -x ) d x On adding Eqs. (i) and (ii), we get aligned & 2 I₁= ₀^ / 2 1 d x= 2 & I₁= 4 & I=100 [ 2 + 4 ]=100 3 4 =75 & aligned