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Popular >

integral of cos(x^4)

Solution

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

Solution

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

Solution steps

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

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

Add a constant to the solution

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

Popular Examples

(y^{12}x)(dy)/(dx)=1+x

(y^{12} x) \frac{d y}{d x} = 1 + x

derivative of f(x)=7x^{3/2}derivative of

f (x) = 7 x^{\frac{3}{2}}

(\partial)/(\partial x)(cos(7x^2y-3xy^3))

\frac{\partial}{\partial x} (cos (7 x^{2} y - 3 x y^{3}))

integral of (e^{(a+1)x})/a

\int \frac{e ^{(a + 1) x}}{a} d x

area 4x,x^2,3 area

4 x, x^{2}, 3

Frequently Asked Questions (FAQ)

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