perplexus.info :: Calculus : Exponential and Natural 2

Exponential and Natural 2 (Posted on 2023-11-05)

Evaluate this definite integral:

100
∫ e^x-⌊x⌋ dx
0

Note:⌊x⌋ is the greatest integer ≤x, and is known as the floor of x.

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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Comment 1 of 1

The integral of f(x - floor(x)) from 0 to 100

is the same as

100 times the integral of f(x) from 0 to 1

So: 100*(e^1 - e^0)

100*(e - 1)

Posted by Larry on 2023-11-05 07:37:32

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