Improper integrals with substitution

A question is this type if and only if it involves evaluating an integral with infinite limits (∫₁^∞ or similar) requiring substitution.

1 questions · Challenging +1.2

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CAIE P3 2021 November Q4

6 marks Challenging +1.2

4 Using the substitution \(u = \sqrt { x }\), find the exact value of $$\int _ { 3 } ^ { \infty } \frac { 1 } { ( x + 1 ) \sqrt { x } } \mathrm {~d} x$$