Question

Find the area of the region under the curve y = e5x from x = 0...

Find the area of the region under the curve

y = e5x

from

x = 0

to

x = 3.

Homework Answers

Answer #1

Given

To find the area under this curve from x=0 to x=3 we need to find the integral of the curve  that is

Let   

Putting these values

  

substituting u=5x back

by evaluating the limits

By putting the values

Hence the area under the curve   from    is

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