" 4."quad (1)cot^(-1)((1)/(sqrt(x)))

cot^(-1)(sqrt(1+x^2)-x)

cot^(-1)((sqrt(1-x^(2)))/(x))

sqrt(cot^(-1)sqrt(x))

sqrt(cot^(-1)sqrt(x))

e^(cot(-1)x)+x^(sqrt(x))

cot^(-1)sqrt(x)

cot^(-1)sqrt(x)

lim_(x rarr oo)(cot^(-1)(sqrt(x+1)-sqrt(x)))/(sec^(-1){((2x+1)/(x-1))^(x))) is equal to

int cot^(-1)sqrt((1-x)/(1+x))

Statement 1: If x=(1)/(5 sqrt(2)) , then [x cos(cot^(-1)x)+sin(cot^(-1)x)]^(2)=(51)/(50) . Statement 2: tan["cot"^(-1)(1)/(5sqrt(2))-"sin"^(-1)(4)/(sqrt(17))]=(29)/(3) .