What is the integral from 0 to pi/2 of cos(x) 1/2 ?

The integral from 0 to pi/2 of cos(x) 1/2 is 1/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to pi/2 of cos(x) 1/2

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

\frac{1}{2}

Decimal Notation

0.5

Solution steps

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

Take the constant out:

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

= \frac{1}{2} \cdot \int_{0}^{\frac{π}{2}} cos (x) d x

Use the common integral:

\int cos (x) d x = sin (x)

= \frac{1}{2} [sin (x)]_{0}^{\frac{π}{2}}

Compute the boundaries:

1

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

Simplify

= \frac{1}{2}

\int_{0}^{2} y 4 - y^{2} d y

\int_{0}^{4} (7 - x) x d x

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

\int_{1}^{2} \frac{y + 4 y ^{6}}{y ^{3}} d y

\int_{1}^{2 y} 2 x y d x

What is the integral from 0 to pi/2 of cos(x) 1/2 ?
The integral from 0 to pi/2 of cos(x) 1/2 is 1/2