en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 2 of 3x^2-1

Solution

\int_{0}^{2} 3 x^{2} - 1 d x

Solution

6

Solution steps

\int_{0}^{2} 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_{0}^{2} 3 x^{2} d x - \int_{0}^{2} 1 d x

\int_{0}^{2} 3 x^{2} d x = 8

\int_{0}^{2} 1 d x = 2

= 8 - 2

Simplify

= 6

Popular Examples

integral from 0 to 20 of (2x-20)

\int_{0}^{20} (2 x - 20) d x

integral from 0 to 2pi of 8tsqrt(2)

\int_{0}^{2 π} 8 t 2 d t

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

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

integral from 0 to r of (ar^3+br)2pir

\int_{0}^{r} (a r^{3} + b r) 2 π r d r

integral from-1 to 1 of 1/2 x

\int_{- 1}^{1} \frac{1}{2} x d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of 3x^2-1 ?
The integral from 0 to 2 of 3x^2-1 is 6