en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 1/25 x

Solution

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

Solution

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

Solution steps

\int \frac{1}{25} x 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(x^2-3)^6

\int x (x^{2} - 3)^{6} d x

integral of-5e^{-5x}

\int - 5 e^{- 5 x} d x

integral of x^2-9x+8

\int x^{2} - 9 x + 8 d x

integral of 7/(sqrt(x^2-36))

\int \frac{7}{x ^{2} - 36} d x

integral of 1 (cos^4(x))

\int \frac{d}{1} (cos^{4} (x)) d x

Frequently Asked Questions (FAQ)

What is the integral of 1/25 x ?
The integral of 1/25 x is (x^2)/(50)+C