AP EAMCET2001MathematicsIndefinite Integration
d x x (x+9) is equal to
Options
- A2 3 ⁻¹ x +C
- B2 3 ⁻¹ ( x 3 )+C
- C⁻¹( x )+C
- D⁻¹ ( x 3 )+C
Correct answer
B. 2 3 ⁻¹ ( x 3 )+C
Step-by-step solution
Let I= d x x (x+9) Put aligned x & =t^2 d x=2 t d t & = 2 t d t t (t^2+9 ) =2 1 3 ⁻¹ t 3 +C & = 2 3 ⁻¹ x 3 +C aligned