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The indefinite integral of , denoted , is defined to be the antiderivative of . In other words, the derivative of is . Since the derivative of a constant is 0, indefinite integrals are defined only up to an arbitrary constant. For example,, since the derivative of is . The definite integral of from to , denoted , is defined to be the signed area between and the axis, from to .
Both types of integrals are tied together by the fundamental theorem of calculus. This states that if is continuous on and is its continuous indefinite integral, then . This means . Sometimes an approximation to a definite integral is desired. A common way to do so is to place thin rectangles under the curve and add the...
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《工程數學.上,使用Mathematica》好看嗎?作者葉倍宏編著由「崑山科大電子系」出版,ISBN:978-986-98416-8-9(平裝,NT$480,4...
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