(5)/(3)*(9)/(1+cot x)

int cos ec^(6)xdx is equal to ................ 1) -cot x-(cot^(5)x)/(5)-(2cot^(3)x)/(3)+k 2) -(cot x)/(3)+(2cot^(5)x)/(5)+2cot^(-3)x+k 3) (tan^(3)x)/(3)-(tan x)/(5)+2tan^(3)x+k 4) (tan^(3)x)/(3)-(tan x)/(5)+3tan^(3)x+k

If I_(n)=int tan^(n)xdx then I_(0)+I_(1)+2(I_(2)+......+I_(8))+I_(9)+I_(10)= (a) (tan x)/(1)+(tan^(2)x)/(2)+....+(tan^(9)x)/(9), (b) -((tan x)/(1)+(tan^(2)x)/(2)+......+(tan^(9)x)/(9)) (c) (cot x)/(1)+(cot^(2)x)/(2)+......+(cot^(9)x)/(9) (d) -((cot x)/(1)+(cot^(2)x)/(2)+......+(cot^(9)x)/(9))

Evaluate :lim_(x rarr(pi)/(4))(1-cot^(3)x)/(2-cot x-cot^(3)x)

int(cot x+cot^(3)x)/(1+cot^(3)x)dx

Sum of series of ^(cot^(-1)(5)/(sqrt(3))+cot^(-1)(9)/(sqrt(3))+cot^(-1)(15)/(sqrt(3))+cot^(-1)(23)/(sqrt(3))+......oo) is equal to

If sin x = (4)/(5) , then ("Tan x")/("Cot x") = ? A. (13)/(9) B. (3)/(4) C. (9)/(16) D. (16)/(9)

int_((pi)/(2008))^((1003 pi)/(2008))((sin^(8)x)^((1)/(7))+(cos^(8)x)^((1)/(7)))/((sec^(5)x)^((1)/(9))+(cos ec^(5)x)^((1)/(9)))log((3+4tan x)/(3+4cot x))dx=

Evaluate each of the following: cot^(-1)((cot pi)/(3))( ii) cot^(-1)((cot(4 pi))/(3))( iii) cot^(-1)((cot(9 pi))/(4))