en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of x/(2+3)

Solution

integral

\frac{x}{2 + 3}

Solution

\frac{x ^{2}}{10} + C

Solution steps

\int \frac{x}{2 + 3} d x

Take the constant out:

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

= \frac{1}{2 + 3} \cdot \int x d x

Simplify

= \frac{1}{5} \cdot \int x d x

Apply the Power Rule

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

= \frac{1}{5} \cdot \frac{x ^{2}}{2}

Simplify

\frac{1}{5} \cdot \frac{x ^{2}}{2} : \frac{x ^{2}}{10}

= \frac{x ^{2}}{10}

Add a constant to the solution

= \frac{x ^{2}}{10} + C

Graph

Popular Examples

integral of (e^{-y})^2 integral

(e^{- y})^{2}

integral of 1/((2x+3))integral

\frac{1}{( 2 x + 3 )}

integral of 2t+1 integral

2 t + 1

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

\frac{x ^{2} - 1}{x}

integral of sqrt(1+4x^2)integral

1 + 4 x^{2}

Frequently Asked Questions (FAQ)

What is the integral of x/(2+3) ?
The integral of x/(2+3) is (x^2)/(10)+C