en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 2 to 6 of x(x^2+7)

Solution

\int_{2}^{6} x (x^{2} + 7) d x

Solution

432

Solution steps

\int_{2}^{6} x (x^{2} + 7) d x

Expand

x (x^{2} + 7) : x^{3} + 7 x

= \int_{2}^{6} x^{3} + 7 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_{2}^{6} x^{3} d x + \int_{2}^{6} 7 x d x

\int_{2}^{6} x^{3} d x = 320

\int_{2}^{6} 7 x d x = 112

= 320 + 112

Simplify

= 432

Graph

Popular Examples

integral from 0 to 2 of pix^6

\int_{0}^{2} π x^{6} d x

integral from 0 to y of 1/2

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

integral from-1 to 1 of (3x^2-8x)

\int_{- 1}^{1} (3 x^{2} - 8 x) d x

integral from 1/2 to 1 of (x^{-3}-16)

\int_{\frac{1}{2}}^{1} (x^{- 3} - 16) d x

integral from x to 2 of sin(t^4)

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

Frequently Asked Questions (FAQ)

What is the integral from 2 to 6 of x(x^2+7) ?
The integral from 2 to 6 of x(x^2+7) is 432