perplexus.info :: Calculus : Definite Crossed Expression Ratio Evaluation

Definite Crossed Expression Ratio Evaluation (Posted on 2023-06-16)

Evaluate this definite integral:


1 ln(1+x)
∫ ------ dx
0 1 + x²

where ln(n) denotes the Natural Logarithm of n.

Note: Computer program, spreadsheet, and other numerical based methodologies are welcome, but an analytical solution is preferred.

*** Adapted from a problem which appeared at a William Lowell Putnam Competition.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The required value of the definite integral is pi*ln(2)/8.
For an explanation, refer to the solution submitted by Bran Smith in this location.

Comments: ( You must be logged in to post comments.)

	Subject	Author	Date
	Solution	Brian Smith	2023-06-16 13:09:06

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