What is the integral of sin(x^4) ?

The integral of sin(x^4) is 1/8 ix(\E_{3/4}(-ix^4)-\E_{3/4}(ix^4))+C

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integral of sin(x^4)

integral

sin (x^{4})

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

Solution steps

\int sin (x^{4}) d x

Use the nonelementary integral:

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

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

Add a constant to the solution

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

\frac{1}{( 1 + y ^{2} )}

\frac{1}{( 1 + 2 x ^{2} )}

e^{- 4} x

\frac{4 x}{( x ^{2} + 1 )}

cosh^{2} (x)

What is the integral of sin(x^4) ?
The integral of sin(x^4) is 1/8 ix(\E_{3/4}(-ix^4)-\E_{3/4}(ix^4))+C