20170209

• I-Learn, Class Pictures, Learning Targets, Text Book Practice
• Prep Tasks: Unit 1 - Motion, Unit 2 - Derivatives, Unit 3 - Integration, Unit 4 - Vector Calculus

1. Consider the integral $\ds \int_{y=1}^{y=4}\left(\int_{x=-2}^{x=3}dx\right)dy$.
   • Shade the region describe by the inequalities $1\leq y\leq 4$ and $-2\leq x\leq 3$.
   • Compute the double integral.
2. Consider the integral $\ds \int_{x=0}^{x=3}\int_{y=0}^{y=x}dydx$.
   • Shade the region describe by the bounds of the integral.
   • Compute the double integral.
3. Compute the integral $\ds \int_{y=0}^{y=x}\int_{x=0}^{x=3}dxdy$. Why do you not get a number?
4. Use a double integral to compute the area of the region between the curves $y=x^2$ and $y=x+2$.

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