MHT CET202020 Oct 2020Evening ShiftMathematicsIndefinite IntegrationActual
( ⁻¹ x )^ 3 2 1-x² d x=
Options
- A2 5 ( ⁻¹ x )^ 5 2 +c
- B2 5 ( ⁻¹ x )^ 5 2 +c
- C5 2 ( ⁻¹ x )^ 5 2 +c
- D5 2 ( ⁻¹ x )^ 5 2 +c
Correct answer
A. 2 5 ( ⁻¹ x )^ 5 2 +c
Step-by-step solution
Let I= ( ⁻¹ x )^ 3 2 1-x² d x Put ⁻¹ x=t 1 1-x² d x=d t aligned I &= t^ 3 2 d t &= t^ 5 2 ( 5 2 ) = 2 5 t^ 5 2 +c= 2 5 ( ⁻¹ x )^ 5 2 +c aligned