[Solution Library] Use a power series to approximate the definite integral to six decimal places.
Question: Use a power series to approximate the definite integral to six decimal places.
\[\int\limits_{0}^{0.3}{\frac{{{x}^{2}}}{1+{{x}^{4}}}dx}\]
Deliverable: Word Document 
(See Solution) The Bessel function of order 1 is defined by J_1(x)=∑_n=0^∞
![[Solved] (a) Starting with the geometric series](/images/solutions/MC-solution-library-60231.jpg "[Solved] (a) Starting with the geometric series ∑_n=0^∞")
[Solved] (a) Starting with the geometric series ∑_n=0^∞
![[Solution Library] (a) By completing the square,](/images/solutions/MC-solution-library-60232.jpg "[Solution Library] (a) By completing the square, show that ∫_0^1")
[Solution Library] (a) By completing the square, show that ∫_0^1
(See Steps) Find the Maclaurin series for f(x) using the definition
Solution: Find the Maclaurin series for f(x) using the definition
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