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 4 of (3x^2-1)

Solution

\int_{3}^{4} (3 x^{2} - 1) d x

Solution

36

Solution steps

\int_{3}^{4} 3 x^{2} - 1 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}^{4} 3 x^{2} d x - \int_{3}^{4} 1 d x

\int_{3}^{4} 3 x^{2} d x = 37

\int_{3}^{4} 1 d x = 1

= 37 - 1

Simplify

= 36

Graph

Popular Examples

integral from 0 to pi/2 of 3cos^3(x)

\int_{0}^{\frac{π}{2}} 3 cos^{3} (x) d x

integral from 0 to pi/3 of 4tan(x/2)

\int_{0}^{\frac{π}{3}} 4 tan (\frac{x}{2}) d x

integral from 0 to ln(a) of 9e^{3x}

\int_{0}^{l n (a)} 9 e^{3 x} d x

integral from 0 to 1/2 of arctan(x)

\int_{0}^{\frac{1}{2}} arctan (x) d x

integral from 0 to 1 of x^{3/8}

\int_{0}^{1} x^{\frac{3}{8}} d x

Frequently Asked Questions (FAQ)

What is the integral from 3 to 4 of (3x^2-1) ?
The integral from 3 to 4 of (3x^2-1) is 36