91Ó°ÊÓ

(a) Use integration to evaluate, correct to 3 decimal places, \(\int_{1}^{3} \frac{2}{\sqrt{x}} \mathrm{~d} x\) (b) Use the trapezoidal rule with four intervals to evaluate the integral in part (a), correct to 3 decimal places.

Use the trapezoidal rule to evaluate \(\int_{0}^{\frac{\pi}{2}} \frac{1}{1+\sin x} \mathrm{~d} x\) using six intervals. Give the answer correct to 4 significant figures.