6. Evaluate the following indefinite integral as an infinite series. sin x (a) (-1)". 2n+1 (b) (-1)"+1. 2n+4 (2n + 3)! z2n+1 n=0 (2n + 4)(2n + 3)! n=0 (c) (-1)"+1 (d) E(-1)", z2n+1 (2n + 1)(2n + 3)! 12n+1 n=0 (2n + 1)(2n + 1)! n=0 (e) (-1)". (2n + 1)! n=0

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