The value of `int((ax^2-b)dx)/(xsqrt(c^2x^2-(ax^2+b)^2))` is equal to

int(ax+b)^(2)dx

The value of int(ax^(2))/(x sqrt(c^(2)x^(2)-(ax^(2)+b)^(2)))(1)/(c)sin^(-1)(ax+(b)/(x))+k csin^(-1)(a+(b)/(x))+esin^(-1)((ax+(b)/(x))/(c))+k( d) none of these

int x^(2)(ax+b)^(-2)dx is equal to

int (ax^(2)-b)(dx)/(x sqrt(c^(2))x^(2) -(ax^(2) + b^(2))^(2)

int(dx)/(sqrt(2ax-x^(2))) is equal to

int (dx)/(xsqrt(2ax-a^(2)))

int (ax +b)^(2)dx