Manipal MET2011MathematicsIndefinite Integration
The value of d x x 1-( x)^2 is
Options
- A⁻¹( x+C)
- Bx (1-x^2 )+C
- C1 2 ⁻¹( x+C)
- D⁻¹( x)+C
Correct answer
D. ⁻¹( x)+C
Step-by-step solution
aligned & Let I= d x x 1-( x)^2 & Put x=t & 1 x d x=d t & aligned & I= d t 1-t^2 = ⁻¹ t+C &= ⁻¹( x)+C aligned aligned