NDA2021MathematicsIndefinite IntegrationActual
What is d x ^2 ( ⁻¹ x ) equal to ?
Options
- A⁻¹ x+c
- B⁻¹ x+c
- C⁻¹ x+c
- D⁻¹ x+c
Correct answer
B. ⁻¹ x+c
Step-by-step solution
d x ^2 ( ⁻¹ x ) Let ⁻¹ x=y y=x and aligned & ^2 y=1+ ^2 y=1+x^2 & d x ^2 ( ⁻¹ x ) = d x 1+x^2 = ⁻¹ x+C aligned