Vault Of Euclid

Integral of 1 over the square root of x-1

Antiderivatives warmup

Find \( \int \frac{1}{\sqrt{x-1}} \, dx \).
indefinite-integralsubstitutionpower-rulesquare-rootcalculus-ievaluate-integralantiderivativefractional-exponent

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What you need first

What this problem tests

Tests the ability to recognize a simple linear substitution and apply the power rule for negative fractional exponents.

This is a standard introductory problem in Calculus I for practicing integration by substitution.

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