MHT CET20228 Aug 2022Morning ShiftMathematicsIndefinite IntegrationActual
d x 2+ x = (Where C is a constant of integration.)
Options
- A2 3 ⁻¹ ( ( x 2 ) 2 3 )+C
- B1 2 3 ⁻¹ ( ( x 2 ) 2 3 )+C
- C1 3 ⁻¹ ( ( x 2 ) 3 )+C
- D2 3 ⁻¹ ( ( x 2 ) 3 )+C
Correct answer
D. 2 3 ⁻¹ ( ( x 2 ) 3 )+C
Step-by-step solution
aligned & d x 2+ x = d x 2+ 1- ^2 x 2 1+ ^2 x 2 = ^2 x 2 ~d x 3+ ^2 x 2 & =2 1 2 ^2 x 2 ~d x ( 3 )^2+ ( x 2 )^2 = 2 3 ⁻¹ ( x 2 3 ) aligned