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Numerade Educator

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Problem 54 Hard Difficulty

Evaluate the indefinite integral as an infinite series.

$$ \int x^2 \sin (x^2) dx $$

Answer

$\sum_{n=1}^{\infty} \frac{(-1)^{n-1}}{(2 n-1) !} \cdot \frac{x^{4 n+1}}{(4 n+1)}$

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Video Transcript

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