en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of x/(25)

Solution

\int \frac{x}{25} d x

Solution

\frac{x ^{2}}{50} + C

Solution steps

\int \frac{x}{25} d x

Take the constant out:

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

= \frac{1}{25} \cdot \int x d x

Apply the Power Rule

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

= \frac{1}{25} \cdot \frac{x ^{2}}{2}

Simplify

\frac{1}{25} \cdot \frac{x ^{2}}{2} : \frac{x ^{2}}{50}

= \frac{x ^{2}}{50}

Add a constant to the solution

= \frac{x ^{2}}{50} + C

Popular Examples

integral of ((x^2+x+8))/((x^2+3x-4))

\int \frac{( x ^{2} + x + 8 )}{( x ^{2} + 3 x - 4 )} d x

integral of-2xsin(2x)

\int - 2 x sin (2 x) d x

integral of 2sin(x)e^{cos(x)}

\int 2 sin (x) e^{c o s (x)} d x

integral of e^x(x^2+4x)

\int e^{x} (x^{2} + 4 x) d x

integral of 1/((y^2-9))

\int \frac{1}{( y ^{2} - 9 )} d y

Frequently Asked Questions (FAQ)

What is the integral of x/(25) ?
The integral of x/(25) is (x^2)/(50)+C