What is the integral from 0 to 2 of y/2 ?

The integral from 0 to 2 of y/2 is 1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from 0 to 2 of y/2

\int_{0}^{2} \frac{y}{2} d y

1

Solution steps

\int_{0}^{2} \frac{y}{2} d y

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= \frac{1}{2} \cdot \int_{0}^{2} y d y

Apply the Power Rule

= \frac{1}{2} [\frac{y ^{2}}{2}]_{0}^{2}

Compute the boundaries:

2

= \frac{1}{2} \cdot 2

Simplify

= 1

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

\int_{0}^{x} y cos (x^{2}) d y

\int_{0}^{2 π} 4 cos^{2} (θ) d θ

\int_{1}^{2} \frac{5 - 7 x}{x ^{3}} d x

\int_{0}^{1} x^{2} - 4 x + 7 d x