AP EAMCET2006MathematicsIndefinite Integration
If d x x^2+2 x+2 =f(x)+c , then f(x) is equal to :
Options
- A⁻¹(x+1)
- B2 ⁻¹(x+1)
- C- ⁻¹(x+1)
- D3 ⁻¹(x+1)
Correct answer
A. ⁻¹(x+1)
Step-by-step solution
Let I= d x x^2+2 x+2 = d x x^2+2 x+1+1 = d x 1+(x+1)^2 = ⁻¹(x+1)+c But I=f(x)+c f(x)= ⁻¹(x+1)