Mat186 Week 7

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October 23, 2019 MAT186 – Week 7 Justin Ko 1 Indenite Integrals Denition 1. The antiderivative of f(x) on [a,b] is a function F(x) such that F′(x) = ...

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...October mat week justin ko indenite integrals denition the antiderivative of f x on is a function such that for all not unique since any we also have c an integration constants r will use notation z dx called integral to denote family antiderivatives table omitting constant elementary functions cot ln sin sec tan exponential and logarithms csc e rational xln loga trigonometric hyperbolic cos sinh cosh tanh basic property b integrable g linearity af bg wewill introduce more properties in coming weeks page example problems finding problem find solution it easy check therefore xdx using checking strategy if suces just dierentiate both are show from derivatives d dxcos so its domain know tiderivatives interval dier by nd this can evaluate our at dierence two conclude must denite recall given n lim i where changing index t dt variables sometimes dummy bcf dg cz bf dz monotonicity then splitting region fundamental theorem calculus links notions dierentiation consider area one would expect ra...

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Posted on: 26 Jan 2023 | 2 years ago
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