1*(1)/(sqrt((x^(2)+2x+2)))

Prove that sin^(-1)((x)/(sqrt(1+x^(2))))+cos^(-1)((x+1)/(sqrt(x^(2)+2x+2)))=tan^(-1)(x^(2)+x+1)

Prove that : sin^(-1) ""(x)/(sqrt(1 + x^(2))) + cos ^(-1) "" (x + 1)/( sqrt( x^(2) + 2x + 2)) = tan^(-1) ( x^(2) + x + 1)

If sqrt(x^(2)-x +1) + (1)/(sqrt(x^(2)-x+1))=2-x^(2) , How many value possible for x?

int(1)/((x+1)^(2)sqrt(x^(2)+2x+2))dx is equal to

"int((1)/(sqrt(1-x^(2)))+(2)/(sqrt(1+x^(2))))dx,|x|<1

int((1)/(sqrt(1-x^(2)))+(2)/(sqrt(1+x^(2))))dx on (-1,1)

Evalute the following integrals int ((1)/(sqrt(1 - x^(2))) + (2)/(sqrt(1 + x^(2))) ) " dx, |x|" lt 1

Find the values of the following integrals int((1)/(sqrt(1-x^(2)))+(2)/(sqrt(1+x^(2))))dx,|x|lt1