Asked by Ali
                The region in the first quadrant bounded by the x-axis, the line x = ln(π), and the curve y = sin(ex) is rotated about the x-axis. What is the volume of the generated solid?
Got 2.8 and .79 very confused
            
        Got 2.8 and .79 very confused
Answers
                    Answered by
            Reiny
            
    V = π integral [sin^2 (ex) ] dx from 0 to ln π
= π ( x/2 - (1/(4e)) sin(2ex) ) from 0 to ln π
= π (ln π/2 - 1/(4e) sin(2e ln π) - (0 - 0)
= 1.815
How can you get 2 answers?
    
= π ( x/2 - (1/(4e)) sin(2ex) ) from 0 to ln π
= π (ln π/2 - 1/(4e) sin(2e ln π) - (0 - 0)
= 1.815
How can you get 2 answers?
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