en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of cos(x^3-1)

Solution

\int cos (x^{3} - 1) d x

Solution

Solution steps

\int cos (x^{3} - 1) d x

Rewrite using trig identities

= \int cos (x^{3}) cos (1) + sin (x^{3}) sin (1) d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int cos (x^{3}) cos (1) d x + \int sin (x^{3}) sin (1) d x

Add a constant to the solution

Popular Examples

limit as x approaches 2 of-x^2+4x+2

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

integral of (-2sin(2x)+2cos(2x))

\int (- 2 sin (2 x) + 2 cos (2 x)) d x

limit as h approaches 0 of (cos(pi/6+h)-(sqrt(3))/2)/(h)

h \to 0 lim (\frac{cos ( \frac{π}{6} + h ) - \frac{3}{2}}{h})

integral of (ln(x)+1)/(xln(x))

\int \frac{ln ( x ) + 1}{x ln ( x )} d x

integral of 19sin^2(x)cos^3(x)

\int 19 sin^{2} (x) cos^{3} (x) d x

Frequently Asked Questions (FAQ)

What is the integral of cos(x^3-1) ?
The integral of cos(x^3-1) is