What is the integral of cos(y^4) ?

The integral of cos(y^4) is -1/8 y(\E_{3/4}(-iy^4)+\E_{3/4}(iy^4))+C

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integral of cos(y^4)

\int cos (y^{4}) d y

- \frac{1}{8} y (E_{\frac{3}{4}} (- i y^{4}) + E_{\frac{3}{4}} (i y^{4})) + C

Solution steps

\int cos (y^{4}) d y

Use the nonelementary integral:

\int cos (x^{4}) d x = - \frac{1}{8} x (E_{\frac{3}{4}} (- i x^{4}) + E_{\frac{3}{4}} (i x^{4}))

= - \frac{1}{8} y (E_{\frac{3}{4}} (- i y^{4}) + E_{\frac{3}{4}} (i y^{4}))

Add a constant to the solution

= - \frac{1}{8} y (E_{\frac{3}{4}} (- i y^{4}) + E_{\frac{3}{4}} (i y^{4})) + C

x \to 3 lim (\frac{x - 3}{2 x + 4})

f (x) = (\frac{x + 8}{x - 8})^{5}

\int \frac{- e ^{\frac{1}{x}}}{x ^{2}} d x

\int (x - y) d x

\frac{\partial}{\partial x} (e^{4 e^{x}})

What is the integral of cos(y^4) ?
The integral of cos(y^4) is -1/8 y(\E_{3/4}(-iy^4)+\E_{3/4}(iy^4))+C