MATH 2260 Study Guide - Comprehensive Final Exam Guide - Wtar, Weno, Vanuatu Vatu
20 Nov 2018
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The easiest way to calculate the integral is to break the fraction into two simple fractions, using the following steps: write the fraction as the sum of two fractions with a and b for numerators. B x + 1: multiply everything with the denominator of the left hand-side to get rid of the fractions, find the values of x the make the denominator of the original fraction equal to zero. 1 = (x + 1)a + (x 1)b (x 1)(x + 1) = 0 = x = 1 or x = 1: plug in the two values you found in the equation from step 2. 1 = ( 1 + 1)a + ( 1 1)b. B = 1/2: rewrite the equation from step 1 using the values of a and b you found. 1 x + 1: calculate the integral using the simple fractions. 1 (x 1)(x + 1) dx = z (cid:18) 1.
