# 1-D Integration and Centroids

May 19th, 2015
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Integral of a function: The integral of a function f(x) over an interval from x1 to x2 yield the area under the curve in this interval Note: The integral represents the as .

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1-D Integration and Centroids Integral of a function: The integral of a function f(x) over an interval from x1 to x2 yield the area under the curve in this intervalNote: The integral represents the as . Indefinite Integrals to know []: Note: Remember to add a constant of integration if you are not specifying limits. You evaluate the constant of integration by forcing the integral to pass through a known point. Note: For definite integrals subtract the value of the integral at the lower limit from its value at the upper limit. For example, if you have the indefinite integral where C is the constant of integration which drops out of the final expression. Note: The following notation is common Integration by parts: Centroid of an area: The centroid of an area is the area weighted average location of the given area. Centroids of common shapes:

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