KCET2009MathematicsIndefinite Integration
e ^ ⁻¹ x (1+ x 1+ x ² ) dx is equal to
Options
- Ax e^ ⁻¹ x +c
- Be ^ ⁻¹ x + c
- C1 2 e ^ ⁻¹ x + c
- D1 2 xe ^ ⁻¹ x + c
Correct answer
A. x e^ ⁻¹ x +c
Step-by-step solution
Let I= e^ ⁻¹ x (1+ x 1+x² ) d x= e^ ⁻¹ x d x+ x e^ ⁻¹ x 1+x² d x=x e^ ⁻¹ x - x e^ ⁻¹ x 1+x² d x+ x e^ ⁻¹ x 1+x² d x+c=x e^ ⁻¹ x +c