1.9.6 Numerical integration (A-level only)

a.

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

\int_0^{\pi} 6 \sin\left(\frac{x}{2}\right) \, dx

[5]

b.

Find the exact solution to

\int_0^{\pi} 6 \sin\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} 6 \sin\left(\frac{x}{2}\right) \, dx

[5]

b.

Find the exact solution to

\int_0^{\pi} 6 \sin\left(\frac{x}{2}\right) \, dx

[4]

c.

Hence find the percentage error in the answer to part a.

[2]

1.9.6 Numerical integration (A-level only) Questions