Question

Find the area of the region bounded by the following curves, the $X-$axis and the given lines.
$y=x^4,x=1,x=5$

Answer 1

Area $={\int }_1^5{x}^{4}dx={\frac{x^5}{5}|}_1^5=\frac{5^5}{5}-\frac{1}{5}=\frac{5^5-1}{5}$

Area $=624.8{unit}^2$