en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 5x

Solution

integral

5 x

Solution

\frac{5 x ^{2}}{2} + C

Solution steps

\int 5 x d x

Take the constant out:

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

= 5 \cdot \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

= 5 \cdot \frac{x ^{2}}{2}

Multiply fractions:

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

= \frac{5 x ^{2}}{2}

Add a constant to the solution

= \frac{5 x ^{2}}{2} + C

Popular Examples

integral of 3/7

\int \frac{3}{7} d x

integral of x^2log_{2}(x)

\int x^{2} lo g_{2} (x) d x

integral of x^2cos(x^3+2)

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

integral of (x+y^2)

\int (x + y^{2}) d x

integral of (x^2+2x-6)

\int (x^{2} + 2 x - 6) d x

Frequently Asked Questions (FAQ)

What is the integral of 5x ?
The integral of 5x is (5x^2)/2+C