If u= 1-x 1+x , v=4 x³-3 x , then d u d v =

Step-by-step solution

Given u= 1-x 1+x Put x= = ⁻¹ x Now, u= 1- 1+ = 2 ² 2 2 ² 2 = 2 u = 1 2 u = 1 2 ⁻¹ x du dx = -1 2 1- x ² We have v=4 x³-3 x Put x= v=4 ³ -3 v = 3 v =3 v=3 ⁻¹ x dv dx = -3 1- x ² du dv = ( du dx ) ( dv dx ) = -1 2 1- x ² 1- x ² -3 = 1 6