en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 6x^5+7

Solution

\int 6 x^{5} + 7 d x

Solution

x^{6} + 7 x + C

Solution steps

\int 6 x^{5} + 7 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 6 x^{5} d x + \int 7 d x

\int 6 x^{5} d x = x^{6}

\int 7 d x = 7 x

= x^{6} + 7 x

Add a constant to the solution

= x^{6} + 7 x + C

Popular Examples

integral of sin(k)x

\int sin (k) x d x

integral of ln(x)(x)

\int ln (x) (x) d x

integral of x^3cos(xy)

\int x^{3} cos (x y) d y

integral of (x^2)/2+C

\int \frac{x ^{2}}{2} + C d x

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

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

Frequently Asked Questions (FAQ)

What is the integral of 6x^5+7 ?
The integral of 6x^5+7 is x^6+7x+C