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 1 of (2x^2+3)

Solution

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

Solution

15

Solution steps

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

\int_{- 2}^{1} 2 x^{2} d x = 6

\int_{- 2}^{1} 3 d x = 9

= 6 + 9

Simplify

= 15

Popular Examples

derivative of 1+cos(x)

\frac{d}{d x} (1 + cos (x))

integral of 4x+3

\int 4 x + 3 d x

derivative of-sin(2x-2cos(x))

\frac{d}{d x} (- sin (2 x) - 2 cos (x))

derivative of (4x^2+6x+6/(sqrt(x)))

\frac{d}{d x} (\frac{4 x ^{2} + 6 x + 6}{x})

integral of x^3*ln(2x)

\int x^{3} \cdot ln (2 x) d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 1 of (2x^2+3) ?
The integral from-2 to 1 of (2x^2+3) is 15