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20-12-2021
Mathematics

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F(x) = the integral from 0 to x cos(t^2)dt. Use your calculator to find F’(1)

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LammettHash LammettHash

20-12-2021

By the fundamental theorem of calculus,

[tex]\displaystyle F(x) = \int_0^x \cos(t^2) \, dt \implies F'(x) = \cos(x^2)[/tex]

and so F'(1) = cos(1).

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