MATH116 Lecture Notes - Lecture 18: European Cooperation In Science And Technology, Gnu Compiler Collection, Antiderivative
9 Dec 2015
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Wednesday, november 18 lecture 29 : antiderivatives (refers to section 6. xx in your text) Students who have mastered the content of this lecture know about: the fundamental theorem of calculus, the general antiderivative of a function, the indefinite integral of a function. Indefinite integrals have properties which are similar to the ones of definite integral. We will list them here and prove a few of these in class so that students can see how the proofs do not involve limits of riemann sums. 29. 2 a few indefinite integrals determined directly from the definition. 29. 4 proposition suppose f(x) g(x) over the interval [a, b]. Then the area of the region bounded by the curves of f and g over [a, b] is given by the number obtained from. Note that the functions in this proposition can be either positive or negative. The statement holds true assuming that both functions are continuous.
