integral from 0 to pi of integral from 0 to 1 of integral from 0 to-(-1+r) of r^2zheta

Topic

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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

simplify solve for inverse tangent line

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∫₀^π∫₀¹∫₀^−(−1+r)r²zdzdrdθ

Solution

π60

Decimal

0.05235…

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Solution steps

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∫₀^π∫₀¹∫₀^−(−1+r)r²zdzdrdθ

∫₀^−(−1+r)r²zdz=r²(−r+1)²2

=∫₀^π∫₀¹(r²(−r+1)²2 )drdθ

∫₀¹(r²(−r+1)²2 )dr=160

=∫₀^π(160 )dθ

∫₀^π(160 )dθ=π60

=π60

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Notebook

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

integral from 0 to pi of integral from 0 to 1 of integral from 0 to-(-1+r) of r^2zheta

Solution

Solution steps

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