What is the integral of cos(θ^2) ?

The integral of cos(θ^2) is sqrt(pi/2)\C(sqrt(2/pi)θ)+C

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integral of cos(θ^2)

\int cos (θ^{2}) d θ

\frac{π}{2} C (\frac{2}{π} θ) + C

Solution steps

\int cos (θ^{2}) d θ

Use the nonelementary integral:

\int cos (x^{2}) d x = \frac{π}{2} C (\frac{2}{π} x)

= \frac{π}{2} C (\frac{2}{π} θ)

Add a constant to the solution

= \frac{π}{2} C (\frac{2}{π} θ) + C

\int_{- π}^{2} sin (t) d t

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What is the integral of cos(θ^2) ?
The integral of cos(θ^2) is sqrt(pi/2)\C(sqrt(2/pi)θ)+C