(i)[5]
Show that the result is $a = \sqrt{\frac{87}{2\ln a - 1}}$.
(ii)[3]
Use the iterative formula from part (i) to determine the value of $a$ correct to 2 decimal places. Start with 6 and give each iteration to 4 decimal places.
Mathematics 9709 · AS & A Level · Numerical solution of equations
Numerical solution of equations — practice question
You are told that $\int_1^a x \ln x\,dx = 22$, with $a$ a constant larger than 1.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Apply integration by parts and obtain an expression of the form $kx^2\ln x+n\int x^2\,dx$” …
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