en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 1 of x^2+x/2

Solution

\int_{0}^{1} x^{2} + \frac{x}{2} d x

Solution

\frac{7}{12}

+1

Decimal

0.58333 \dots

Solution steps

\int_{0}^{1} x^{2} + \frac{x}{2} 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_{0}^{1} x^{2} d x + \int_{0}^{1} \frac{x}{2} d x

\int_{0}^{1} x^{2} d x = \frac{1}{3}

\int_{0}^{1} \frac{x}{2} d x = \frac{1}{4}

= \frac{1}{3} + \frac{1}{4}

Simplify

\frac{1}{3} + \frac{1}{4} : \frac{7}{12}

= \frac{7}{12}

Graph

Popular Examples

integral from-pi to 0 of 6x^3

\int_{- π}^{0} 6 x^{3} d x

integral from 0.25 to 0.6 of 5(1-y)^4

\int_{0.25}^{0.6} 5 (1 - y)^{4} d y

integral from 0 to x of ((1-t))/(e^t)

\int_{0}^{x} \frac{( 1 - t )}{e ^{t}} d t

integral from 1 to 10 of 1/(x-1)

\int_{1}^{10} \frac{1}{x - 1} d x

integral from 1 to 3 of 2xln(x)

\int_{1}^{3} 2 x ln (x) d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of x^2+x/2 ?
The integral from 0 to 1 of x^2+x/2 is 7/12