Question

Find the area bounded by the curve y = x1/2 + 2 the x - axis, and the lines x = 1 and x = 4?

Answer 1

The area is given by

$\displaystyle\int_1^4(x^{1/2}+2)\,\mathrm dx=\left(\frac23x^{3/2}+2x\right)\bigg|_{x=1}^{x=4}=\dfrac{40}3-\dfrac83=\dfrac{32}3=10+\dfrac23$

so the answer is B