Vault Of Euclid

Divergence of the Integral of 1/x from 0 to 1

Integrals warmup

Investigate \( \int_{0}^{1} \frac{1}{x} \, dx \).
improper-integralevaluate-integralnatural-logarithmlimitdivergencevertical-asymptotecalculus-iintegrationfundamental-theorem-of-calculus

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What you need first

What this problem tests

Tests the ability to recognize an improper integral due to a vertical asymptote and correctly apply limits to evaluate it.

This is a standard introductory example of an improper integral with an infinite discontinuity.

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