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
$\displaystyle \int_0^1$e^-√x/√x dx
Thanx in adavnce...
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
$\displaystyle \int_0^1$e^-√x/√x dx
Thanx in adavnce...
Hi
Q1 - The volume of a revolution solid around x-axis with a boundary given by y=f(x) is
$\displaystyle V = \pi \int_{x_0}^{x_1} f^2(x)\: dx$
$\displaystyle V = \pi \int_{0}^{\frac{\pi}{2}} cos(x) \:dx$
Q2 - Use $\displaystyle u = \sqrt{x}$
$\displaystyle du = \frac{dx}{2 \sqrt{x}}$