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 6 of (x^2-9)

Solution

\int_{3}^{6} (x^{2} - 9) d x

Solution

36

Solution steps

\int_{3}^{6} x^{2} - 9 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}^{6} x^{2} d x - \int_{3}^{6} 9 d x

\int_{3}^{6} x^{2} d x = 63

\int_{3}^{6} 9 d x = 27

= 63 - 27

Simplify

= 36

Popular Examples

integral from 0 to 1 of 1/(e^{2x)}

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

integral from t to 3t of (sin(x))/(3x)

\int_{t}^{3 t} \frac{sin ( x )}{3 x} d x

integral from-3 to 9 of 3x-9

\int_{- 3}^{9} 3 x - 9 d x

integral from 0 to 1 of 5xe^x

\int_{0}^{1} 5 x e^{x} d x

integral from pi/3 to pi of |cos(x)|

\int_{\frac{π}{3}}^{π} ∣ cos (x) ∣ d x

Frequently Asked Questions (FAQ)

What is the integral from 3 to 6 of (x^2-9) ?
The integral from 3 to 6 of (x^2-9) is 36