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 3 of (3x^2-5)

Solution

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

Solution

8

Solution steps

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

\int_{- 1}^{3} 3 x^{2} d x = 28

\int_{- 1}^{3} 5 d x = 20

= 28 - 20

Simplify

= 8

Popular Examples

integral from-2 to 3 of f(x)

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

sum from n=0 to infinity of ((x)^n)/(n!)

n = 0 \sum \infty \frac{( x ) ^{n}}{n !}

4x(dy)/(dx)-8y=x^{-9}

4 x \frac{d y}{d x} - 8 y = x^{- 9}

derivative of-3x(5x+4)^6 derivative of

- 3 x (5 x + 4)^{6}

integral of 13x

\int 13 x d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 3 of (3x^2-5) ?
The integral from-1 to 3 of (3x^2-5) is 8