en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-1 to 1 of x^2+3

Solution

\int_{- 1}^{1} x^{2} + 3 d x

Solution

\frac{20}{3}

+1

Decimal

6.66666 \dots

Solution steps

\int_{- 1}^{1} x^{2} + 3 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_{- 1}^{1} x^{2} d x + \int_{- 1}^{1} 3 d x

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

\int_{- 1}^{1} 3 d x = 6

= \frac{2}{3} + 6

Simplify

\frac{2}{3} + 6 : \frac{20}{3}

= \frac{20}{3}

Graph

Popular Examples

integral from 0 to b of x/(sqrt(x^2+1))

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

integral from 0 to 3 of (2x+3)/(1+x^2)

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

integral from 2 to 3 of (2x)/((x^2+4)^2)

\int_{2}^{3} \frac{2 x}{( x ^{2} + 4 ) ^{2}} d x

integral from 0 to 2pi of sin^3(x)cos(x)

\int_{0}^{2 π} sin^{3} (x) cos (x) d x

integral from 0 to x of 1/(sqrt(1-t^2))

\int_{0}^{x} \frac{1}{1 - t ^{2}} d t

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of x^2+3 ?
The integral from-1 to 1 of x^2+3 is 20/3