Volume of solids + trapezoidal (1 Viewer)

[enigma_1]

The region bounded by the curve y = 3^(x−1) and the x-axis between x = 1 and x = 3 is
rotated about the x-axis. Use Simpson’s rule with five function values to approximate the
volume of the solid that is formed. Give your answer correct to two decimal places.

How do you do this? Thanks

SORRY THE TITLE SHOULD SAY SIMPSONS, NOT TRAPEZOIDAL

 

[enigma_1]

bump

 

[youngsky]

Isn't it just

Square the function, y = (3^2x)/9
5 function values = 4 sub-intervals, hence h= (3-1)/4 = 0.5
Sub in values for x = 1, 1.5, 2, 2.5, 3 into your squared function
Apply Simpson's rule, then multiply by pi