MHT CET202210 Aug 2022Evening ShiftMathematicsIndefinite IntegrationActual
1 3-2 2 x ~d x= (where C is constant of integration.)
Options
- A2 5 ⁻¹(5 x)+C
- B1 5 ⁻¹( 5 x)+C
- C2 5 ⁻¹( 5 x)+C
- D1 5 ⁻¹(5 x)+C
Correct answer
B. 1 5 ⁻¹( 5 x)+C
Step-by-step solution
aligned & d x 3-2 2 x = d x 3-2 1- ^2 x 1+ ^2 x = ^2 x ~d x 5 ^2 x+1 & = d t 5 t^2+1 [ let x=t] & = d t ( 5 t)^2+1^2 = 1 5 ⁻¹ ( 5 t 1 )+C & = 1 5 ⁻¹( 5 x)+C aligned