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 6x^2-3x

Solution

\int_{1}^{2} 6 x^{2} - 3 x d x

Solution

\frac{19}{2}

+1

Decimal Notation

9.5

Solution steps

\int_{1}^{2} 6 x^{2} - 3 x 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} 6 x^{2} d x - \int_{1}^{2} 3 x d x

\int_{1}^{2} 6 x^{2} d x = 14

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

= 14 - \frac{9}{2}

Simplify

14 - \frac{9}{2} : \frac{19}{2}

= \frac{19}{2}

Popular Examples

integral from 0 to 4 of x/(sqrt(4+2x^2))

\int_{0}^{4} \frac{x}{4 + 2 x ^{2}} d x

integral from 7 to 10 of x

\int_{7}^{10} x d x

integral from pi to 2pi of 4sin^2(t)+2t

\int_{π}^{2 π} 4 sin^{2} (t) + 2 t d t

integral from 1 to 4 of x/(3+sqrt(x))

\int_{1}^{4} \frac{x}{3 + x} d x

integral from-1 to 1 of (x-y)

\int_{- 1}^{1} (x - y) d y

Frequently Asked Questions (FAQ)

What is the integral from 1 to 2 of 6x^2-3x ?
The integral from 1 to 2 of 6x^2-3x is 19/2