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+3)

Solution

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

Solution

\frac{10}{3}

+1

Decimal

3.33333 \dots

Solution steps

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

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

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

= \frac{1}{3} + 3

Simplify

\frac{1}{3} + 3 : \frac{10}{3}

= \frac{10}{3}

Graph

Popular Examples

integral from 8 to infinity of x^{-4/3}

\int_{8}^{\infty} x^{- \frac{4}{3}} d x

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

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

integral from-3 to x^2 of (t-5)(t^2+1)

\int_{- 3}^{x^{2}} (t - 5) (t^{2} + 1) d t

integral from 0 to 1 of (5x^2-6x+5)

\int_{0}^{1} (5 x^{2} - 6 x + 5) d x

integral from 0 to t of e^{-4x}

\int_{0}^{t} e^{- 4 x} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of (x^2+3) ?
The integral from 0 to 1 of (x^2+3) is 10/3