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)

Solution

\int (6 x^{5}) d x

Solution

x^{6} + C

Solution steps

\int 6 x^{5} d x

Take the constant out:

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

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

Apply the Power Rule

: \frac{x ^{6}}{6}

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

Simplify

6 \cdot \frac{x ^{6}}{6} : x^{6}

= x^{6}

Add a constant to the solution

= x^{6} + C

Popular Examples

integral of x^2(x^3)

\int x^{2} (x^{3}) d x

integral of (2(csc(t))^2)/(cot(t))

\int \frac{2 ( csc ( t ) ) ^{2}}{cot ( t )} d t

integral of (x^3+1)^{-1}

\int (x^{3} + 1)^{- 1} d x

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

\int \frac{x ( 1 - x ^{2} )}{1 + x ^{4}} d x

integral of (9+tan^2(x))

\int (9 + tan^{2} (x)) d x

Frequently Asked Questions (FAQ)

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