AP EAMCET2009MathematicsIndefinite Integration
d x (x+1) 4 x+3 is equal to
Options
- A⁻¹ 4 x+3 +c
- B3 ⁻¹ 4 x+3 +c
- C2 ⁻¹ 4 x+3 +c
- D4 ⁻¹ 4 x+3 +c
Correct answer
C. 2 ⁻¹ 4 x+3 +c
Step-by-step solution
Let I= d x (x+1) 4 x+3 Put 4 x+3=t^2 4 d x=2 t d t aligned I= & 1 2 t d t ( t^2-3 4 +1 ) t =2 d t 1+t^2 & =2 ⁻¹ t+c=2 ⁻¹ 4 x+3 +c aligned