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MathSofiya

  • 3 years ago

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?

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  1. Rogue
    • 3 years ago
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    yup, now just integrate.

  2. MathSofiya
    • 3 years ago
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    \[\sum_{n=0}^{\infty}\frac{(-1)^n}{(2n)!}\frac{x^{6n+2}}{6n+2}\]

  3. MathSofiya
    • 3 years ago
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    Awww thank you!

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