MHT CET2012MathematicsIndefinite Integration
The value of 1+ x d x is
Options
- A⁻¹( 2 x)+C
- B2 ⁻¹( 2 x / 2)+C
- C2 ⁻¹( 2 x)+C
- D2 ⁻¹( 2 x / 2)+C
Correct answer
B. 2 ⁻¹( 2 x / 2)+C
Step-by-step solution
Let I= 1+ x d x= 1+ x x d x= 2 x 2 1-2 ² x 2 d x (let .t= 2 x 2 d t= 2 2 x 2 d x )= 2 d t 1-t² =2 ⁻¹(t)+C=2 ⁻¹ ( 2 x 2 )+C