en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of 7x^6

Solution

\int 7 x^{6} d x

Solution

x^{7} + C

Solution steps

\int 7 x^{6} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 7 \cdot \int x^{6} d x

Apply the Power Rule

= 7 \cdot \frac{x ^{7}}{7}

Simplify

7 \cdot \frac{x ^{7}}{7} : x^{7}

= x^{7}

Add a constant to the solution

= x^{7} + C

Graph

Popular Examples

derivative of 10xe^x

tangent of f(x)=x^2+8,(-2,12)

integral of (x^2+1)^9

integral of x^2sqrt(x^2-1)

Frequently Asked Questions (FAQ)

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