en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of y=7x^5

Solution

integral

y = 7 x^{5}

Solution

\frac{7 x ^{6}}{6} + C

Solution steps

\int 7 x^{5} d x

Take the constant out:

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

= 7 \cdot \int x^{5} d x

Apply the Power Rule

= 7 \cdot \frac{x ^{6}}{6}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{7 x ^{6}}{6}

Add a constant to the solution

= \frac{7 x ^{6}}{6} + C

Graph

Popular Examples

integral of x^{-1}e^x

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

integral of (-2)/(z^3)

integral of (e^{-2}r)/a

integral of sqrt(1-x)

Frequently Asked Questions (FAQ)

What is the integral of y=7x^5 ?
The integral of y=7x^5 is (7x^6)/6+C