AP EAMCET2012MathematicsIndefinite Integration
d x x-x^2 is equal to
Options
- A2 ⁻¹ x +C
- B2 ⁻¹ x+C
- C2 x ⁻¹ x+C
- D⁻¹ x +C
Correct answer
A. 2 ⁻¹ x +C
Step-by-step solution
Let aligned I & = d x x-x^2 & = 1 x d x 1-x aligned Put x = aligned 1 2 x d x & = d I & = 2 d 1- ^2 & = 2 d & = 2 d =2 +C & =2 ⁻¹ x +C aligned