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Why is it very easy to conclude that011exdx converges without making any integration calculations?

Short Answer

Expert verified

The integral 1exis continuous on the interval 0,1. The function 1exhas no vertical asymptotes, so this is not improper integral. So, it is easy to conclude that given integral converges without making any integration calculations.

Step by step solution

01

Step 1. Given information

011exdx.

02

Step 2. The given integral converges.

The integral1exis continuous on the interval0,1.

The function 1exhas no vertical asymptotes, so this is not improper integral.

From the above information, it is easy to conclude that given integral converges without making any integration calculations.

03

Step 3. The graph of y=1ex is shown below:

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