en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 3/4-x/4

Solution

integral

\frac{3}{4} - \frac{x}{4}

Solution

\frac{3}{4} x - \frac{x ^{2}}{8} + C

Solution steps

\int \frac{3}{4} - \frac{x}{4} d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int \frac{3}{4} d x - \int \frac{x}{4} d x

\int \frac{3}{4} d x = \frac{3}{4} x

\int \frac{x}{4} d x = \frac{x ^{2}}{8}

= \frac{3}{4} x - \frac{x ^{2}}{8}

Add a constant to the solution

= \frac{3}{4} x - \frac{x ^{2}}{8} + C

Popular Examples

integral of (e^x)/((1+x))integral

\frac{e ^{x}}{( 1 + x )}

integral of e^4x*tan^2(x)integral

e^{4} x \cdot tan^{2} (x)

integral of y= x/(2+1)integral

y = \frac{x}{2 + 1}

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

\frac{x}{( 1 + x - x ^{2} )}

integral of (x+(x^2+1)^{1/2})^{-1}integral

(x + (x^{2} + 1)^{\frac{1}{2}})^{- 1}

Frequently Asked Questions (FAQ)

What is the integral of 3/4-x/4 ?
The integral of 3/4-x/4 is 3/4 x-(x^2)/8+C