How do you find the volume bounded by y = e <mrow class="MJX-TeXAtom-ORD"> x

spockmonkey40

spockmonkey40

Answered question

2022-07-09

How do you find the volume bounded by y = e x , y = 0 , x = 0 , x = ln 2 revolved about the x=axis?

Answer & Explanation

zlepljalz2

zlepljalz2

Beginner2022-07-10Added 22 answers

V = π a b y 2 d x
y 2 = ( e x ) 2 = e 2 x
0 ln 2 e 2 x d x = [ e 2 x 2 ] 0 ln 2
π [ e 2 x 2 ] 0 ln 2 = π ( e 2 ln 2 2 e 2 ( 0 ) 2 ) = π ( 4 2 1 2 ) = 3 π 2 4.71

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