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Calculate $\displaystyle \int_{3}^{\infty} \frac{1}{(x+1)\sqrt{x}}\,dx$.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
By using the substitution $u = \sqrt{x}$, determine the exact value of the integral.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State that $\frac{du}{dx}=\frac{1}{2\sqrt{x}}$ or equivalently $du=\frac{1}{2\sqrt{x}}dx$” …
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