Tip:A–D to answerE for explanationV for videoS to reveal answer
∫0π[cotx]dx, where [⋅] denotes the greatest integer function, is equal to:
Explanation
Using ∫0af(x)dx=∫0af(a−x)dx:
Adding (1) and (2):
2I=∫0π([cotx]+[−cotx])dx
Using property: [x]+[−x]=−1 (for x∈/Z):
Correct Option: (d)
Explanation
Using ∫0af(x)dx=∫0af(a−x)dx:
Adding (1) and (2):
2I=∫0π([cotx]+[−cotx])dx
Using property: [x]+[−x]=−1 (for x∈/Z):
Correct Option: (d)
