en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-3 to 2 of 3x^2-5x

Solution

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

Solution

\frac{95}{2}

+1

Decimal Notation

47.5

Solution steps

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

\int_{- 3}^{2} 3 x^{2} d x = 35

\int_{- 3}^{2} 5 x d x = - \frac{25}{2}

= 35 - (- \frac{25}{2})

Simplify

35 - (- \frac{25}{2}) : \frac{95}{2}

= \frac{95}{2}

Popular Examples

integral from 0 to x of 6e^{x+2y}

\int_{0}^{x} 6 e^{x + 2 y} d y

integral from 2 to 2 of x^2

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

integral from-2 to 8 of |x|

\int_{- 2}^{8} ∣ x ∣ d x

integral from 0 to 3 of pix^2

\int_{0}^{3} π x^{2} d x

integral from 0 to 4 of 8/x

\int_{0}^{4} \frac{8}{x} d x

Frequently Asked Questions (FAQ)

What is the integral from-3 to 2 of 3x^2-5x ?
The integral from-3 to 2 of 3x^2-5x is 95/2