What is the integral of 3x^{10} ?

The integral of 3x^{10} is (3x^{11})/(11)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 3x^{10}

\int 3 x^{10} d x

\frac{3 x ^{11}}{11} + C

Solution steps

\int 3 x^{10} d x

Take the constant out:

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

= 3 \cdot \int x^{10} d x

Apply the Power Rule

: \frac{x ^{11}}{11}

= 3 \cdot \frac{x ^{11}}{11}

Multiply fractions:

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

= \frac{3 x ^{11}}{11}

Add a constant to the solution

= \frac{3 x ^{11}}{11} + C

\int (9 - 5 x)^{7} d x

\int \frac{3}{x ^{2} x ^{2} - 6} d x

\int \frac{- x}{e ^{x^{2}}} d x

\int \frac{sin ( 18 x )}{1 + cos ^{2} ( 18 x )} d x

\int 6^{\frac{1}{3}} d x