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...Fiziks institute for net jrf gate iit jam m sc entrance jest tifr and gre in physics b surface integrals a integral is an expression of the form z ada da s where again some vector function infinitesimal patch area with direction y perpendicular to as shown figure x there are course two directions any so sign intrinsically ambiguous if closed then outward positive but open surfaces it arbitrary describes flow fluid mass per unit time represents total passing through hence alternative name flux ordinarily value depends on particular chosen special class functions which independent determined entirely by boundary line h no d ground floor jia sarai near hauz khas new delhi phone website www physicsbyfiziks com email gmail example calculate xzx yz over five sides excluding bottom cubical box side let upward be indicated arrows solution taking one at v ii i dydzx xzdydz zdydz dy zdz iv iii dxdz dx dz dxdy ydxdy ydy evidently...