3.7 Numerical methods (A-level only)

a.

Use the trapezium rule with 3 strips to estimate the value of

\int_0^{\pi} 2 \cos\left(\frac{x}{2}\right) \, dx

[5]

b.

Find the exact solution to

\int_0^{\pi} 2 \cos\left(\frac{x}{2}\right) \, dx

[4]

c.

Hence find the percentage error in the answer to part a

[2]

a.

Use the trapezium rule with 3 strips to estimate the value of

\int_0^{\pi} 2 \cos\left(\frac{x}{2}\right) \, dx

[5]

b.

Find the exact solution to

\int_0^{\pi} 2 \cos\left(\frac{x}{2}\right) \, dx

[4]

c.

Hence find the percentage error in the answer to part a

[2]

3.7 Numerical methods (A-level only) Questions