KCET2008MathematicsIndefinite Integration
x x 1- ⁴ x d x is equal to
Options
- A1 2 ⁻¹ ( ² x )+C
- B1 2 ⁻¹ ( ² x )+ C
- C⁻¹ ( ² x )+ C
- D⁻¹ (2 ² x )+ C
Correct answer
A. 1 2 ⁻¹ ( ² x )+C
Step-by-step solution
Let I= x x 1- ⁴ x d x Put ² x = t 2 x xdx = dt I = dt 2 1- t ² = 1 2 ⁻¹ t + C = 1 2 ⁻¹ ( ² x )+C