en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-1 to 2 of y^3+8

Solution

\int_{- 1}^{2} y^{3} + 8 d y

Solution

\frac{111}{4}

+1

Decimal Notation

27.75

Solution steps

\int_{- 1}^{2} y^{3} + 8 d y

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{- 1}^{2} y^{3} d y + \int_{- 1}^{2} 8 d y

\int_{- 1}^{2} y^{3} d y = \frac{15}{4}

\int_{- 1}^{2} 8 d y = 24

= \frac{15}{4} + 24

Simplify

\frac{15}{4} + 24 : \frac{111}{4}

= \frac{111}{4}

Popular Examples

integral of (1-t)e^{12t-6t^2}

\int (1 - t) e^{12 t - 6 t^{2}} d t

y^{^{'}} = y (x y^{2} + 2)

integral of sqrt(x)(x+1)

\int x (x + 1) d x

derivative of (x^2/(sqrt(1+x^3)))

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

integral of-1/(x^5)

\int - \frac{1}{x ^{5}} d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 2 of y^3+8 ?
The integral from-1 to 2 of y^3+8 is 111/4