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 (5x^2-3)

Solution

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

Solution

\frac{26}{3}

+1

Decimal

8.66666 \dots

Solution steps

\int_{1}^{2} 5 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}^{2} 5 x^{2} d x - \int_{1}^{2} 3 d x

\int_{1}^{2} 5 x^{2} d x = \frac{35}{3}

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

= \frac{35}{3} - 3

Simplify

\frac{35}{3} - 3 : \frac{26}{3}

= \frac{26}{3}

Graph

Popular Examples

integral from 0 to 5 of sin(t^2)

\int_{0}^{5} sin (t^{2}) d t

integral from 3 to 6 of 3

\int_{3}^{6} 3 d x

integral from 0 to 1 of x^2(4-x^3)^3

\int_{0}^{1} x^{2} (4 - x^{3})^{3} d x

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

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

integral from 2 to 5 of k/(x^3)

\int_{2}^{5} \frac{k}{x ^{3}} d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of (5x^2-3) ?
The integral from 1 to 2 of (5x^2-3) is 26/3