en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

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

Solution

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

Solution

\frac{1}{6}

+1

Decimal

0.16666 \dots

Solution steps

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

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

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

\int_{1}^{2} 3 t d t = \frac{9}{2}

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

= - \frac{7}{3} + \frac{9}{2} - 2

Simplify

- \frac{7}{3} + \frac{9}{2} - 2 : \frac{1}{6}

= \frac{1}{6}

Graph

Popular Examples

integral from 0 to 1 of (3x+sqrt(x))

integral from 0 to 1 of x^{10}ln(x)

integral from 1 to 4 of 4^{3x}

integral from x to 1 of ln(t)

integral from 0 to 4 of pi((12-3x)/4)^2

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of-t^2+3t-2 ?
The integral from 1 to 2 of-t^2+3t-2 is 1/6