関数平均 sqrt(1-x^2)

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

☐²

x^☐

√☐

^□√☐

□□

log_□

θ

∞

∫

ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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function average √1−x²

Solution

π4

Decimal

0.78539…

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Average function value definition

The average value of a function f(x) on an interval [a, b] is given by
f_avg=1b−a ∫_a^bf(x)dx

Apply the function average formula: ∫₋₁¹√1−x²dx2

∫₋₁¹√1−x²dx2 =π4

The average function value is:

=π4

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

関数平均 sqrt(1-x^2)

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