AngouriMath
IntegrateOverRootOfQuadratic(AngouriMath.Entity,AngouriMath.Entity,AngouriMath.Entity,AngouriMath.Entity,AngouriMath.Entity,AngouriMath.Entity.Variable)
Method (no overloads)
Summary
The antiderivative of k / sqrt(a x^2 + b x + c) , which takes one of two
forms depending on the sign of the leading coefficient:
since which one applies is not known until a and the coefficients are.
forms depending on the sign of the leading coefficient:
- a < 0, an arc of a circle:
-k/sqrt(-a) * arcsin((2ax + b) / sqrt(b^2 - 4ac)) - a > 0, a hyperbolic arc:
k/sqrt(a) * ln|2ax + b + 2 sqrt(a) sqrt(a x^2 + b x + c)|
since which one applies is not known until a and the coefficients are.
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