What is the integral from 0 to 1 of-1+(pix)/2 ?

The integral from 0 to 1 of-1+(pix)/2 is -1+pi/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 1 of-1+(pix)/2

\int_{0}^{1} - 1 + \frac{π x}{2} d x

- 1 + \frac{π}{4}

Decimal Notation

- 0.21460 \dots

Solution steps

\int_{0}^{1} - 1 + \frac{π x}{2} 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}^{1} 1 d x + \int_{0}^{1} \frac{π x}{2} d x

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

\int_{0}^{1} \frac{π x}{2} d x = \frac{π}{4}

= - 1 + \frac{π}{4}

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

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

\int_{0}^{\frac{π}{2}} 1 - sin^{2} (x) d x

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

\int_{1}^{5} \frac{3 x}{x ^{3}} d x

What is the integral from 0 to 1 of-1+(pix)/2 ?
The integral from 0 to 1 of-1+(pix)/2 is -1+pi/4