Evaluate ${}_R(2x+3y)dA$ where $R=\{(x,y)|0x3,1y4\}$

Calculate ${}_D$xydA, where $D$ is bounded by $y=x,y=x^2,0x1$

$1$

Engineering Mathematics $3$Worksheet: Multiple Integrals, Vector Calculus & Fourier Series

$3.$ Reverse the order of integration and evaluate:

${\displaystyle \underset{0}{\overset{2}{}}}{\displaystyle \underset{\frac{x}{2}}{\overset{1}{}}}{e}^{v^2}dydx$

Find ${}_R(x^2+y^2)dA$ where $R$ is the triangle with vertices $(0,0),(1,0),(1,1)$