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MathSofiya
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Evaluate the integral as a series.
\[\int xcos(x^3)dx\]
\[cosx=\sum_{n=0}^{\infty}(1)^n\frac{x^{2n}}{(2n)!}\]
sooooo.....
\[=\int\sum_{n=0}^{\infty}(1)^n\frac{x^{6n+1}}{(2n)!}\]
Yes?
 2 years ago
 2 years ago
MathSofiya Group Title
Evaluate the integral as a series. \[\int xcos(x^3)dx\] \[cosx=\sum_{n=0}^{\infty}(1)^n\frac{x^{2n}}{(2n)!}\] sooooo..... \[=\int\sum_{n=0}^{\infty}(1)^n\frac{x^{6n+1}}{(2n)!}\] Yes?
 2 years ago
 2 years ago

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Rogue Group TitleBest ResponseYou've already chosen the best response.0
yup, now just integrate.
 2 years ago

MathSofiya Group TitleBest ResponseYou've already chosen the best response.1
\[\sum_{n=0}^{\infty}\frac{(1)^n}{(2n)!}\frac{x^{6n+2}}{6n+2}\]
 2 years ago

MathSofiya Group TitleBest ResponseYou've already chosen the best response.1
Awww thank you!
 2 years ago
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