Question 3 - A-Level Maths

Find, in simplified form, the exact value of \(\int _ { 10 } ^ { 20 } \frac { 60 } { x } \mathrm {~d} x\).
Use Simpson's rule with two strips to find an approximation to \(\int _ { 10 } ^ { 20 } \frac { 60 } { x } \mathrm {~d} x\).
Use your answers to parts (i) and (ii) to show that \(\ln 2 \approx \frac { 25 } { 36 }\).