A region is bounded by y=e−3x, the x-axis, the y-axis and the line x = 3. If the region is the base of a solid such that each cross section perpendicular to the x-axis is an equilateral triangle, set up the integral that would find the volume of that solid.

0.333 units³

Step-by-step explanation:

Think process:

The equation is given as y =

Let, y = f (x)

Therefore,

We know that the limits are y-axis and x= 3

Y-axis: x= 0

then limits are given as x= 0 and x = 3

Integrating  gives:

= + C

calculating from x= 0 to x = 3, we know volume is given by

= [ ]

= [0.000041136 + 1/3]

= 0.333 units³

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step-by-step explanation: