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B bölgesi 2x + y = 1, 2x + y = 4, x - 2y = 2 ve x - 2y = 3 do?rular? aras?nda kalan bölge olmak üzere iint_{B} frac{(x-2y)^{2}}{1+2x+y}dxdy integrali egin{cases} u = 2x + y \ v = x - 2y end{cases} dönü?ümü yard?m?yla a?a??daki integrallerden hangisi ile hesaplanabilir? frac{1}{3} int_{2}^{3} int_{1}^{4} v dudv frac{1}{5} int_{2}^{3} int_{1}^{4} frac{v^{2}}{1+u} dudv frac{1}{3} int_{2}^{3} int_{1}^{4} frac{u}{v} dudv frac{1}{5} int_{1}^{4} int_{2}^{3} frac{u^{2}}{1+v} dvdu frac{1}{3} int_{1}^{4} int_{2}^{3} udvdu

          B b&#246;lgesi 2x + y = 1, 2x + y = 4, x - 2y = 2 ve x - 2y = 3 do?rular? aras?nda kalan b&#246;lge olmak &#252;zere iint_{B} frac{(x-2y)^{2}}{1+2x+y}dxdy integrali egin{cases} u = 2x + y \ v = x - 2y end{cases} d&#246;n&#252;?&#252;m&#252; yard?m?yla a?a??daki integrallerden hangisi ile hesaplanabilir? frac{1}{3} int_{2}^{3} int_{1}^{4} v dudv frac{1}{5} int_{2}^{3} int_{1}^{4} frac{v^{2}}{1+u} dudv frac{1}{3} int_{2}^{3} int_{1}^{4} frac{u}{v} dudv frac{1}{5} int_{1}^{4} int_{2}^{3} frac{u^{2}}{1+v} dvdu frac{1}{3} int_{1}^{4} int_{2}^{3} udvdu

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$B b #246;lgesi 2x + y = 1, 2x + y = 4, x - 2y = 2 ve x - 2y = 3 do?rular? aras?nda kalan b #246;lge olmak #252;zere iintB frac(x-2y)^21+2x+ydxdy integrali egincases u = 2x + y v = x - 2y endcases d #246;n #252;? #252;m #252; yard?m?yla a?a??daki integrallerden hangisi ile hesaplanabilir? frac13 int2^3 int1^4 v dudv frac15 int2^3 int1^4 fracv^21+u dudv frac13 int2^3 int1^4 fracuv dudv frac15 int1^4 int2^3 fracu^21+v dvdu frac13 int1^4 int2^3 udvdu$

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Calculus: Early Transcendentals

James Stewart 8th Edition

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