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

int((1-x^(-2))/(x^(1/2)-x^(-1/2))-(2)/(x^(3/2))+(x^(-2)-x)/(x^(1/2)-x^(-1/2)))dx

The coefficient of x^(15) in the product of (1-x)(1-2x)(1-2^(2)x)(1-2^(3)x)(1-2^(4)x)......(1-2^(15)x)

If y="cosec"^(-1)((x^(2)+1)/(x^(2)-1))+cos^(-1) ((x^(2)-1)/(x^(2)+1)),"then " (dy)/(dx)=

If y="cosec"^(-1)((x^(2)+1)/(x^(2)-1))+cos^(-1) ((x^(2)-1)/(x^(2)+1)),"then " (dy)/(dx)=

Evaluate: int_(-(1)/(2))^((1)/(2))[((x+1)/(x-1))^(2)+((x-1)/(x+1))^(2)-2]^((1)/(2))dx

tan^(-1)(1-x^(2)-(1)/(x^(2)))+sin^(-1)(x^(2)+(1)/(x^(2))-1) where x!=0) is equal to

If (x^(1//2)+x^(-1//2))^(2)=9/2 find the value of (x^(1//2)-x^(-1//2)) for x gt 1

If (x^(+(1)/(2)) + x^(-(1)/(2)))^(2) = (9)/(2) , then find the value of (x^((1)/(2))-x^(-(1)/(2))) for x gt 1 .

int((1-x^(- 2))/(x^(1//2)-x^(-1//2))-2/(x^(3//2))+(x^(- 2)-x)/(x^(1//2)-x^(-1//2)))dx