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'Weekly Challenge 24: Suspicious Integrator' printed from http://nrich.maths.org/
I asked my integrating application to work out this integral:
Integrate[1000000/(10 + (1000000 - 10)/2^(4*x)), x]
I was given the answer
(25000*Log[-32*(99999 + 16^x)])/Log
Try to evaluate this expression at $x=1$. What has gone wrong? Can
you work out the actual real answer and verify by
know ... ?
Technology is undoubtedly a very useful mathematical tool, but
needs to be used carefully and with some skepticism. If you use a
calculating aid it is very important to check that the answer
makes sense. Algebraic tools tend not to make errors, but often
introduce unnecessary complexity into an answer.