GAIN AN ADVANTAGE
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- PDF: How to Make an A+ in Your First Calculus Course
Lesson Specific Problems
- Determine the integral $\int_a^e(mx+b)\,dx$ using upper and lower sums.
- Given the partition $\{0,\,\frac{\pi}{4},\,\frac{\pi}{2},\,\frac{3\pi}{4},\,\pi\}$, find $L(P)$ and $U(P)$ for the integral $\int_0^{\pi}\sin(x)\,dx$.
- Given the partition $\{0,\frac{\pi}{2},\,\pi\}$, find $L(P)$ and $U(P)$ for the integral $\int_0^{\pi}\cos(x)\,dx$.
- Given the partition $\{0,\frac{\pi}{2},\,\pi\}$, find $L(P)$ and $U(P)$ for the integral $\int_0^{\pi}\sin(x)\,dx$.
- Given the partition $\{0,\frac{1}{16},\frac{4}{16},\frac{9}{16},1\}$, find $L(P)$ and $U(P)$ for the integral $\int_0^1\sqrt{x}\,dx$.
