MHT CET20226 Aug 2022Morning ShiftMathematicsIndefinite IntegrationActual
1 x 2 x d x= (where C is a constant of integration.)
Options
- A⁻¹( x)+C
- B( x+ ^2 x+1 )+C
- C⁻¹ x+C
- D( x+ ^2 x-1 )+C
Correct answer
A. ⁻¹( x)+C
Step-by-step solution
aligned & d x x 2 x = d x x 1- ^2 x 1+ ^2 x & d x x 1- ^2 x x = ^2 d x 1- ^2 x & d t 1-t^2 = ⁻¹(t)+C= ⁻¹( x)+C aligned [let x = t ]