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volume y=x+1, y=0, x=0, 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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volume about x, y=x+1, y=0, x=0, x=2

Solution

26π3

Decimal

27.22713…

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The volume for solid of revolution between curves definition

The volume for solid of revolution between curves is the volume of object between a curve f(x) and a curve g(x) rotated around the x-axis on an interval [a, b] given by
V=∫_a^bπ |(f(x))²−(g(x))²|dx

Apply the volume formula: ∫₀²π|x+1|²dx

Solve ∫₀²π|x+1|²dx: 26π3

The volume for solid of revolution is:

=26π3

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

volume y=x+1, y=0, x=0, x=2

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