simpson integral from-1 to 2 of 6/(x^2+1), n=3

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(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

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∫₋₁²6x²+1 dx, n=3

Solution

11.4

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Solve by:

Solve by Simpson's rule

Solve by midpoint Riemann sum

Solve by left point Riemann sum

Solve by right point Riemann sum

Solve by trapezoidal rule

One step at a time

Simpson's Rule (Approximation)

∫_a^bf(x)dx ≈ Δ x3 (f(x₀)+4f(x₁)+2f(x₂)+4f(x₃)+…+4f(x_n−2)+f(x_n−1)),
where Δ x = b−an , n is even

Apply Simpson's Formula

=13 (f(x₀)+4f(x₁)+2f(x₂)+f(x₃))

Calculate Sub Intervals

=13 (3+24+6+65 )

=11.4

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Solve by: midpoint Riemann sum

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

simpson integral from-1 to 2 of 6/(x^2+1), n=3

Solution

Solution steps

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