What is volumeabout y=0,y=cos(x),[0,(3pi)/2 ] ?

The answer to volumeabout y=0,y=cos(x),[0,(3pi)/2 ] is (3pi^2)/4

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volumeabout y=0,y=cos(x),[0,(3pi)/2 ]

volume about

y = 0, y = cos (x), [0, \frac{3 π}{2}]

\frac{3 π ^{2}}{4}

Decimal Notation

7.40220 \dots

Solution steps

Apply the volume formula:

\int_{0}^{\frac{3 π}{2}} π cos^{2} (x) d x

Solve

\int_{0}^{\frac{3 π}{2}} π cos^{2} (x) d x : \frac{3 π ^{2}}{4}

The volume for solid of revolution is:

= \frac{3 π ^{2}}{4}

x \to 0 lim (\frac{- 2 x}{x - 3})

\int 10 x (x^{2} + 3)^{4} d x

\int_{0}^{1} \frac{33}{x ^{5}} d x

\int e^{- (s - a) t} d t

What is volumeabout y=0,y=cos(x),[0,(3pi)/2 ] ?
The answer to volumeabout y=0,y=cos(x),[0,(3pi)/2 ] is (3pi^2)/4