" (iii) "(cosec^(2)sqrt(x))/(sqrt(x))

If y=cos^(-1)((sqrt(x)-1)/(sqrt(x)+1))+cosec^(-1)((sqrt(x)+1)/(sqrt(x)-1)) , then (dy)/(dx) is equal to

cosec sqrt(x)

(d)/(dx)[cosec^(-1)((sqrt(2))/(x-sqrt(1-x^(2))))]=

Integrate the following w.r.t. x . ("cosec"^(2)x)/(sqrt(25+cot^(2)x))

Evaluate the following integrals (iii) int_(0)^(pi/2)(sqrt(sec x))/(sqrt(sec x)+sqrt(cosec x))dx

Show that "cosec"^(-1) (x/(sqrt(x^(2)-1))) = sec^(-1) (x) , | x | gt 1

Using the result int(dx)/(sqrt(x^(2)+a^(2)))=log|xsqrt(x^(2)+a^(2))|+C , Evaluate int(-"cosec"^(2)xdx)/(sqrt(cot^(2)x+9))

int cosec^(2)x. sqrt(cot) dx