# MATA36H3 Lecture 7: integration

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## Document Summary

Fraction f cx ) want to integrate rational function qcx ) and pox) are polynomials. * process is long . together referred to as partial fractions. "t degree of pox ) and qcx ) the is the degree dx valve of. 4) degree highest power ) the qcx ) a) If pox ) a degree in degree top degree of b) 3 degree of qcx ) bottom then perform long division then skip long division pox ) Also qcx ) polynomial quotient c polynomial) e. txt= y " it. Long division reduces many rational function into degree top e degree bottom on. So f f 2 +5+4 414, ] now we can see degree bottom that the degree top. Completely factor the denominator fix ) into irreducible factors . Ir must have either degree i or degree. = o the degree of this function is. Bxtc ) qicx) a gu ex ) factors assume all qicx) are distinct.