# Math Help - integral of region

1. ## integral of region

Q1 - Find the volume of the solids generated by revolving the regions bounded by the lines and curves about x-axis

y=√cosx where 0 ≤ x ≤ π/2 and y=0 , x=0

Q2 - Evaluate the integral

$\int_0^1$e^-√x/√x dx

2. Hi

Q1 - The volume of a revolution solid around x-axis with a boundary given by y=f(x) is

$V = \pi \int_{x_0}^{x_1} f^2(x)\: dx$

$V = \pi \int_{0}^{\frac{\pi}{2}} cos(x) \:dx$

Q2 - Use $u = \sqrt{x}$

$du = \frac{dx}{2 \sqrt{x}}$