Calculus 1301A/B Study Guide - Midterm Guide: Improper Integral, Partial Fraction Decomposition
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CALC 1301A/B Full Course Notes
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F ( x) g"( x) dx=f ( x) g( x) g( x) f " ( x) dx or. 1 + tan2x = sec2x sin2x + cos2x = 1. 1 + cot2x = csc2x sin2x = 2 sin x cos x cos2x = cos2x sin2x = 2 cos2x 1 = 1 2 sin2x. Trigonometric derivatives cos x = - sin x sin x = cos x tan x = sec2x sec x = sec x tan x csc x = - csc x cot x cot x = - csc2x. 2 or 3 x = a sec , 0 . 1 + tan2 = sec2 sec2 1 = tan2 . 7. 4 integration of rational functions by partial fractions. If (px + q)m (m 1) is a factor of q(x), then p(x)/q(x) has partial fractions. If (ax2 + bx + c)n (n 1) is a factor of q(x), then. P(x)/q(x) has partial fractions (a x2+bx +c)2 a)+c tan 1( x x2+a2 =1.