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 2 of 1+x^2

Solution

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

Solution

\frac{10}{3}

+1

Decimal

3.33333 \dots

Solution steps

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

\int_{1}^{2} 1 d x = 1

\int_{1}^{2} x^{2} d x = \frac{7}{3}

= 1 + \frac{7}{3}

Simplify

1 + \frac{7}{3} : \frac{10}{3}

= \frac{10}{3}

Graph

Popular Examples

integral from-2 to 2 of (x+1)

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

integral from 0 to 2 of (4x-2)

\int_{0}^{2} (4 x - 2) d x

integral from-4pi to pi of cos^2(x)

\int_{- 4 π}^{π} cos^{2} (x) d x

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

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

integral from 0 to pi of-xcos(x)

\int_{0}^{π} - x cos (x) d x

Frequently Asked Questions (FAQ)

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