MHT CET202012 Oct 2020Morning ShiftMathematicsIndefinite IntegrationActual
e^ ⁻¹ x [ x- 1-x² 1-x² ] d x=
Options
- A-e^ ⁻¹ x +c
- B-x e^ ⁻¹ x +c
- C-x e^ ⁻¹ x +c
- D-e^ ⁻¹ x +c
Correct answer
B. -x e^ ⁻¹ x +c
Step-by-step solution
Put ⁻¹ x=t -1 1-x² d x=d t 1 1-x² d x=-d t and x= t aligned I &=- e^ t [ t- t] d t=-e^ t t+c &=-e^ ⁻¹ x ( ⁻¹ x )+c=-x e^ ⁻¹ x +c aligned