NDA2023MathematicsDefinite IntegrationActual
Paragraph: Let l= _a^b |x| x d x, a b Question: What is l equal to when a 0 b ?
Options
- Aa+b
- Ba-b
- Cb-a
- D(a+b) 2
Correct answer
A. a+b
Step-by-step solution
aligned & l= _a^b |x| x d x & a 0 b aligned _a^b |x| x d x= _a^0 |x| x d x+ ₀^b |x| x d x= _a^0 -x x d x+ ₀^b x x d x=a+b