What is the antiderivative of $cos (x^{2})$ $cos(x^2)$ ?

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What is the antiderivative of $cos (x^{2})$ $cos(x^2)$ ?

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Answer 1 · 2015-04-13T15:15:53

I'm fairly confident that the antiderivative is not a function expressible using algebraic combinations of algebraic/trigonometric and logarithmic/exponential functions.

We can write it as $f (x) = C + \int cos (x^{2}) d x$ $f(x) =C+ int cos(x^2) dx$ for constant $C$ $C$ .

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What is the antiderivative of $cos (x^{2})$ $cos(x^2)$ ?

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What is the antiderivative of $cos (x^{2})$ $cos(x^2)$ ?