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Lesson Specific Problems

  • Given the partition $\{0,\frac{1}{4},\frac{1}{2},\frac{3}{4},1\}$, find $L(P)$ and $U(P)$ for the integral $]\int_0^12x\,dx$.
  • Determine the integral $\int_0^bx^2\,dx$ using upper and lower sums.
  • Determine the integral $\int_a^bx\,dx$ using upper and lower sums.

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