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4.01 Introduction to anti-differentiaion

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Outcomes

3.2.1

identify anti-differentiation as the reverse of differentiation

3.2.2

use the notation ∫ f(x) dx for anti-derivatives or indefinite integrals

3.2.3

establish and use the formula ∫x^n dx=1/(n+1) x^(n+1)+c for n≠−1

3.2.6

identify and use linearity of anti-differentiation

3.2.8

identify families of curves with the same derivative function

3.2.9

determine f(x), given f′(x) and an initial condition f(a)=b

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