0∫π [cot x] dx, where [.] denotes the greatest integer function
0∫π [cot x] dx, where [.] denotes the greatest integer function, is equal to
- -π/2
- 1
- -1
- π/2
Answer
0∫π [cot x] dx
= 0∫π/2 {[cotx] + [-cotx]}dx
= 0∫π/2 (-1)dx
The correct option is A.