Integrals

Fundamental Theorem of Calculus

$${\int }_a^b{f}^{\prime }(x)dx=f(b)-f(a)$$ $$\frac{d}{dx}\left[{\int }_a^{u(x)}{f}^{\prime }(t)dt\right]=f(u(x))u^{\prime }(x)$$

Estimating

• Riemann Sums

Solving

• Integration Rules
• Integration Stategies
• Improper Integrals

Applications

• Area Between Curves
• Volumes of Solids in Revolution
• Volumes of Cross Sections
• Arc Length of Planar Curve