en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of x^4-2

Solution

\int x^{4} - 2 d x

Solution

\frac{x ^{5}}{5} - 2 x + C

Solution steps

\int x^{4} - 2 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 x^{4} d x - \int 2 d x

\int x^{4} d x = \frac{x ^{5}}{5}

\int 2 d x = 2 x

= \frac{x ^{5}}{5} - 2 x

Add a constant to the solution

= \frac{x ^{5}}{5} - 2 x + C

Graph

Popular Examples

integral of 1/(x+a)

\int \frac{1}{x + a} d x

integral from 6 to 8 of 2pix(-3/2 x+12)

\int_{6}^{8} 2 π x (- \frac{3}{2} x + 12) d x

(\partial)/(\partial r)(rcos(x))

\frac{\partial}{\partial r} (r cos (x))

(dy)/(dx)=(x^2+3)/(3y)

\frac{d y}{d x} = \frac{x ^{2} + 3}{3 y}

derivative of f(x)=(ln(x))/(e^x)derivative of

f (x) = \frac{ln ( x )}{e ^{x}}

Frequently Asked Questions (FAQ)

What is the integral of x^4-2 ?
The integral of x^4-2 is (x^5)/5-2x+C