MHT CET2007MathematicsDefinite Integration
The value of ₀¹ ⁻¹ ( 2 x-1 1+x-x² ) d x is
Options
- A1
- B0
- C-1
- DNone of these
Correct answer
B. 0
Step-by-step solution
Let aligned I &= ₀¹ ⁻¹ ( 2 x-1 1+x-x² ) d x &= ₀¹ ⁻¹ ( x+x-1 1-x(x-1) ) d x &= ₀¹ ⁻¹ x d x+ ₀¹ ⁻¹(x-1) d x &= ₀¹ ⁻¹ x d x+ ₀¹ ⁻¹(1-x-1) d x &= ₀¹ ⁻¹ x d x- ₀¹ ⁻¹ x d x=0 aligned