Evaluate: `int_0^(2pi)[sinx]dx ,w h e r e[x]` denotes the greatest integer function.

Evaluate: int_0^2[x^2-x+1]dx ,w h e r e[dot] denotos the greatest integer function.

Evaluate: int_1^(e^6)[(logx)/3]dx ,w h e r e[dot] denotes the greatest integer function.

Evaluate: int_0^(10pi)[tan^(-1)x]dx ,w h e r e[x] represents greatest integer function.

Evaluate: int_(-5)^5x^2[x+1/2]dx(w h e r e[dot] denotes the greatest integer function).

Evaluate: int_0^((5pi)/(12))[tanx]dx , where [dot] denotes the greatest integer function.

Evaluate int_(0)^(1.5) x[x^2] dx , where [.] denotes the greatest integer function

Evaluate int_(0)^(3) [x]dx ,where [.] denotes the greatest integer function.

Evaluate int_(-1)^(1)[x+[x+[x]]]dx , where [.] denotes the greatest integer function

Prove that int_0^oo[cot^(-1)x]dx ,w h e r e[dot] denotes the greatest integer function.

IfI=int_(-20pi)^(20pi)|sinx|[sinx]dx(w h e r e[dot] denotes the greatest integer function), then the value of I is -40 (b) 40 (c) 20 (d) -20