(i)[3]
Apply the trapezium rule with four intervals to estimate $\int_0^8 \ln(x + 2)\,dx$, giving the result to 3 significant figures.
(ii)[2]
Hence determine an approximation to $\int_0^8 3\ln(x^2 + 4x + 4)\,dx$.
Mathematics 9709 · AS & A Level · Numerical solution of equations
Numerical solution of equations — practice question
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Take $y$-values of $\ln2,\ln4,\ln6,\ln8,\ln10$ or the matching decimal equivalents” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI