COMEDK2015MathematicsIndefinite Integration
If 8 x+1 2 x- 2 x d x=a 8 x+c , then a=
Options
- A- 1 16
- B1 8
- C1 16
- D- 1 8
Correct answer
C. 1 16
Step-by-step solution
LHS = 8 x+1 2 x- 2 x d x= 2 ² 4 x ( ² 2 x- ² 2 x 2 x 2 x ) d x [ 2 x=2 ² x-1 ]=- ² 4 x(2 2 x 2 x) ( ² 2 x- ² 2 x ) d x=- ² 4 x 4 x 4 x d x[ 2 x=2 x x]=- 1 2 2 4 x 4 x d x=- 1 2 8 x d x= 1 2 8 x 8 +c Now, 1 2 8 x 8 +c=a 8 x+c a= 1 16