Tutorial Exercise Evaluate the indefinite integral as an infinite series. ex - 1 dx 12 11x Step 1 Since ex = > *" and the n = 0 term equals 1 then ex - 1 = n! n = 0 n! 1 n = Step 2 Since ex - 1 = x", then 12(e* – 1) = _12 x^ = Š 12( "-1 - E 11x n! n = 1 11x n! n = 1 n= 1 11n! Step 3 12x" 11n(11n)! 00 00 12(ex – 1) )+ c. Now we have 12x" - 1 dx = 11x 11n! n = 1 n = 1

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