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+5

Solution

\int x^{7} + 5 d x

Solution

\frac{x ^{8}}{8} + 5 x + C

Solution steps

\int x^{7} + 5 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 5 d x

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

\int 5 d x = 5 x

= \frac{x ^{8}}{8} + 5 x

Add a constant to the solution

= \frac{x ^{8}}{8} + 5 x + C

Popular Examples

integral of (sqrt(x)-2)x^2

\int (x - 2) x^{2} d x

integral of sin^3(x)+cos^3(x)

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

integral of (4x+3)/(x^2+1)

\int \frac{4 x + 3}{x ^{2} + 1} d x

integral of ((1+x^{-1})^7)/(x^2)

\int \frac{( 1 + x ^{- 1} ) ^{7}}{x ^{2}} d x

integral of 3/((3x-4)ln(3x-4))

\int \frac{3}{( 3 x - 4 ) ln ( 3 x - 4 )} d x

Frequently Asked Questions (FAQ)

What is the integral of x^7+5 ?
The integral of x^7+5 is (x^8)/8+5x+C