Questions asked by Nirvi Vakharia

Questions asked by Nirvi Vakharia

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How will you prove the following?
What will be the volume of the cylinder: $x^{2} + y^{2} = 4$ $x^2 + y^2 = 4$ and the planes $y + z = 4$ $y+z=4$ and $z = 0$ $z=0$ ?
How to prove that $\int_{0}^{\infty}$ $int_0^oo$ $\frac{e^{- α x} sin x}{x} d x = {cot}^{- 1} α$ $(e^(-alphax)sinx)/x dx=cot^-1alpha$ given that $\int_{0}^{\infty} \frac{sin x}{x} d x = \frac{π}{2}$ $int_0^oo sinx/x dx = pi/2$ ?