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cos-x-7-dx-

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Question Number 169640 by MikeH last updated on 05/May/22
∫cos(x^7 )dx =
∫cos(x7)dx=
Commented by mkam last updated on 05/May/22
= ∫ Σ (−1)^n × (x^(14n) /((2n)!)) dx = Σ (((−1)^n )/((2n)!)) ∫ x^(14n) dx = Σ(((−1)^n . x^(14n+1) )/((14n+1)(2n)!)) +C
=∫Σ(−1)n×x14n(2n)!dx=Σ(−1)n(2n)!∫x14ndx=Σ(−1)n.x14n+1(14n+1)(2n)!+C

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