Partial fraction decomposition becomes easier when students stop guessing and identify the denominator type first. This Woody Calculus lesson teaches the complete Calculus 2 system: distinct linear factors, repeated factors, irreducible quadratics, solving for constants, and integrating each piece.
Integration by parts becomes easier when students stop guessing and identify the structure first. This Woody Calculus lesson teaches the complete 3-type IBP system for Calculus 2, including tabular integration by parts, exponential-trig loops, logarithms, inverse trig, and worked examples.
Trig substitution becomes much easier when students stop guessing and match the radical to one of three forms. This Woody Calculus lesson teaches the complete 3-type system for Calculus 2: sine for sqrt(a²−x²), tangent for sqrt(x²+a²), and secant for sqrt(x²−a²).