f(x) = (2 x) 10 Given that x is small, and so terms in x 3

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f(x) = (2 − x)10

Given that x is small, and so terms in x3 and higher powers of x can be ignored:

a. Find an approximation for f(x) in the form A + Bx + Cx2

b. Find an approximation for ∫f(x)dx.

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