`int1/xsqrt((1-x)/(1+x))dx`

Evaluate: int_0^1xsqrt((1-x^2)/(1+x^2))dx

Evaluate the following indefinite integrals : (i) intsqrt(a^(2)-x^(2))dx (ii) int(1)/(sqrt(49+x^(2)))dx (iii) int(1)/(xsqrt(x^(6)-1))dx (iv) intsqrt((1+x)/(1-x))dx (v) intsqrt((x^(2009))/(2x^(2008)-x^(2009)))dx (vi) int(1)/(sqrt((x-4)(x-5)))dx

Evaluate: int1/(xsqrt((x^6+1)))dx

Evaluate: int1/(xsqrt(x^2-1))dx

Evaluate: int1/(x+sqrt(x^2-x+1))dx

Evaluate: int1/xsqrt((1-sqrt(x))/(1+sqrt(x))dx)

Evaluate: int1/xsqrt((1-sqrt(x))/(1+sqrt(x))dx)

Evaluate: (i) int1/(sqrt((2-x)^2-1))\ dx (ii) int(x^4+1)/(x^2+1)\ dx

Evaluate: int1/(xsqrt(1+x^3))\ dx

Evaluate: int1/(x^2sqrt(1+x^2))dx