Most Important Selected Qs for JEE AdvancedMathematicsIndefinite Integration
The value of (1- x)(2- x) (1+ x)(2+ x) d x is (where .t= 2- x 2+ x )
Options
- A( t- 3 t+ 3 )+2 ⁻¹ t+c
- B( t+ 3 t- 3 )+ ⁻¹ t+c
- C3 ( t+ 3 t- 3 )+ ⁻¹ 2 t 1-t^2 +c
- D3 ( t- 3 t+ 3 )+2 ⁻¹ t+c
Correct answer
D. 3 ( t- 3 t+ 3 )+2 ⁻¹ t+c
Step-by-step solution
Let 1+ x=y aligned & I= 1 y 3-y 1+y d y again let 3-y 1+y =t^2 & I=8 t^2 (t^2-3 ) (t^2+1 ) d t= 3 t- 3 t+ 3 +2 ⁻¹ t+c aligned