en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of x^3+7

Solution

\int x^{3} + 7 d x

Solution

\frac{x ^{4}}{4} + 7 x + C

Solution steps

\int x^{3} + 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 x^{3} d x + \int 7 d x

\int x^{3} d x = \frac{x ^{4}}{4}

\int 7 d x = 7 x

= \frac{x ^{4}}{4} + 7 x

Add a constant to the solution

= \frac{x ^{4}}{4} + 7 x + C

Graph

Popular Examples

integral of ((x^2))/4

integral of (12x^{11})/(x^{12)+1}

integral of x-xcos(x)

integral of 1/(sqrt(x)+\sqrt{x-1)}

integral of \sqrt[4]{(3r^4+1)^3}r^3

Frequently Asked Questions (FAQ)

What is the integral of x^3+7 ?
The integral of x^3+7 is (x^4)/4+7x+C