Even and Odd SYMMETRY Suppose f is continuous
- Slides: 20
Even and Odd SYMMETRY Suppose f is continuous on [-a, a] and even Suppose f is continuous on [-a, a] and odd
Even and Odd Term-102
Even and Odd Term-091
Even and Odd Term-103
Even and Odd SYMMETRY Suppose f is continuous on [-a, a] and even Example Suppose f is continuous on [-a, a] and odd
AREAS BETWEEN CURVES Area between two curves
AREAS BETWEEN CURVES Area between two curves Example: Find the area of the region bounded by the curves and Note: Both right-hand lefthand boundary are lines
AREAS BETWEEN CURVES Area between two curves Note: Both right-hand lefthand boundary reduce to a point
AREAS BETWEEN CURVES Note: The value of a and b (not given) Steps: 1) Find the intersection points 2) Write the area as an integral
AREAS BETWEEN CURVES Area between two curves
AREAS BETWEEN CURVES T-092
AREAS BETWEEN CURVES T-102
AREAS BETWEEN CURVES
AREAS BETWEEN CURVES Area between two curves Note: right-hand boundary = ? ? left-hand boundary = ? ? Note: Top boundary = ? ? Bottom boundary = ? ?
AREAS BETWEEN CURVES Area between two curves Some regions are best treated by regarding x as a function of y.
AREAS BETWEEN CURVES Some regions are best treated by regarding x as a function of y.
AREAS BETWEEN CURVES Steps: 1) Rewrite the function as x in terms of y 2) Find the intersection points
AREAS BETWEEN CURVES We could have found the area in by integrating with respect to x instead of y, but the calculation is much more involved.
AREAS BETWEEN CURVES T-092
AREAS BETWEEN CURVES
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