Integral is the area under a function's graph between a and b. Notation: $\int_a^b f(x)\ dx$ means summing rectangle areas. Integral sign $\int$ represents stretched S for Sum
Area between curves is found by subtracting bottom from top curve. Integration can be done with respect to x or y axis. Integration with respect to y produces horizontal rectangles. Integration with respect to x requires inverse functions
Triangle is a polygon with three vertices joined by three line segments. Triangle is denoted by vertices (Δabc) and can be equilateral, isosceles, or scalene. Triangle sides are shown with tick marks, angles with concentric arcs
M2 measures two-dimensional area, M3 measures three-dimensional volume. Volume conversion requires additional measurement like thickness or length. Area formulas vary by shape type: rectangle (LW), square (L²), triangle (1/2bh)
Integration finds areas under function graphs by adding slices approaching zero width. Definite Integral has start and end values (a, b). Integration symbol is "S" (Sum) with dx indicating x-direction slices
Area under a curve is calculated using the formula A = ∫a,b f(x) dx. The integral must be definite with known limits. The power rule is used to set up the integration. The fundamental theorem relates the integral to the difference between the limits