BITSAT2023MathematicsIndefinite IntegrationActual
Value of d x x(a-x) is
Options
- A2 ⁻¹ x a +c
- B-2 ⁻¹ x a +c
- C2 ⁻¹ x a +c
- DNone of these
Correct answer
A. 2 ⁻¹ x a +c
Step-by-step solution
Let x = a ^2 then d x=2 a d aligned I & = 2 a a ^2 a ^2 d & =2 d =2 +c & =2 ⁻¹( x / a )+c aligned