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...

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- Jan 24th 2009, 11:10 AMAngel Roxintegral 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

$\displaystyle \int_0^1$e^-√x/√x dx

Thanx in adavnce... - Jan 24th 2009, 11:18 AMrunning-gag
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 $\displaystyle u = \sqrt{x}$

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