en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of x^7-6x+8

Solution

\int x^{7} - 6 x + 8 d x

Solution

\frac{x ^{8}}{8} - 3 x^{2} + 8 x + C

Solution steps

\int x^{7} - 6 x + 8 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^{7} d x - \int 6 x d x + \int 8 d x

\int x^{7} d x = \frac{x ^{8}}{8}

\int 6 x d x = 3 x^{2}

\int 8 d x = 8 x

= \frac{x ^{8}}{8} - 3 x^{2} + 8 x

Add a constant to the solution

= \frac{x ^{8}}{8} - 3 x^{2} + 8 x + C

Graph

Popular Examples

integral of 2/(1+4x^2)+ln(8)*8^x

\int \frac{2}{1 + 4 x ^{2}} + ln (8) \cdot 8^{x} d x

integral of 2x^{-8}

\int 2 x^{- 8} d x

integral of-1/2 y^2

\int - \frac{1}{2} y^{2} d y

integral of (cos(x))/(2-3sin(x))

\int \frac{cos ( x )}{2 - 3 sin ( x )} d x

integral of (sin^2(x/2)+cot^2(x))

\int (sin^{2} (\frac{x}{2}) + cot^{2} (x)) d x

Frequently Asked Questions (FAQ)

What is the integral of x^7-6x+8 ?
The integral of x^7-6x+8 is (x^8)/8-3x^2+8x+C