Integrate \(\frac{1 + x}{x^{3}} \mathrm d x\)

Evaluate \(\int_{0} ^{\frac{\pi}{2}} \sin x \mathrm d x\)

P, Q, and R are subsets of the universal set U. The Venn diagram showing the relationship \((P \cap Q) \cup R\) is

If the angle of a sector of a circle with radius 10.5 cm is 120°, find the perimeter of the sector. [Take \(\pi = \frac{22}{7}\)]

Using the cumulative frequency curve, estimate the median of the data represented on the graph.