`int_0^(10 pi)cot^(- 1)(cost)dx`

int_(-pi)^(5pi)cot^(-1)(cotx)dx equals

int_(1)^(10 pi)([sec^(-1)x]+[cot^(-1)x]dx where [.] denotes the greatest integer function is (A) 10 pi-sec1(B)10 pi+sec1(C)10 pi-sec1+cot1(D)sec1+cot1

int_1^(10pi)([sec^(- 1)x]+[cot^(- 1)x]dx where [.] denotes the greatest integer function is (A) 10pi-sec1 (B) 10pi+sec1 (C) 10pi-sec1+cot1 (D) sec1+cot1

if int_(0)^( pi/2)(cot x)/(cot x+cos ecx)dx=m(pi-n) then the value of mn is

Find the value of int_(0)^(pi)(cot^(-1)(sinx-(1)/(2))+cot^(-1)((2)/(2sinx-1)))dx .

Find the value of int_(0)^(pi)(cot^(-1)(sinx-(1)/(2))+cot^(-1)((2)/(2sinx-1)))dx .

int_- 10^20[cot^(- 1)x]dx

int_0^1cot^(- 1)(1-x+x^2)dx