DoubleIntegralslet se remember integration Area Sifixidx fifix dx y f x funneled this is a definite integral and the answer is a number This is the area under the curve between a and b a b ow oesthislookintwovariables This is The solid bounded by fix y deff double integral of fix y over the region R over the region R volume of the solid Sf fix g dxdy completethe inside integral first Note the variable of the inside integral allshould be in one variable after the 1 integration complete 2 integral 111 45 1My dy d 8 4 1 144 141 y xy 92 3x dx 137 13 dx 12 121 7 2 S f ly xdydx f f E dx Ex Ex Sixydaddy dy zig ow to evaluate a double integral 1 ex g IS 29 dy dx atty f dx 1 5 x 172 1 x2 dx 2 2 x x2 dx g dy fi Ji 1 3 Ey n y dy dx dx f y 2127 4 1 f Jp Ex dx 313 3 x1 dx x dx 33 03 ED L x x tx dx 3 3 1 2 31113 11 0 4 1 4 ex life g dydx dydx fi dx Xix 117 dx xy y x 2 2125 f 2 2 2 2 x x d e So file e dx ext dx e dx f it2Rdx 2 5 3 5 13 1 13 1 1 I ze e Z e e e fe e Ee e 1 ex
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