What is the integral from-pi to pi of cos(nx) ?

The integral from-pi to pi of cos(nx) is 0

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-pi to pi of cos(nx)

\int_{- π}^{π} cos (n x) d x

0

Solution steps

\int_{- π}^{π} cos (n x) d x

Apply u-substitution

: \int_{- πn}^{nπ} \frac{cos ( u )}{n} d u

= \int_{- πn}^{nπ} \frac{cos ( u )}{n} d u

Take the constant out:

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

= \frac{1}{n} \cdot \int_{- πn}^{nπ} cos (u) d u

Use the common integral:

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

= \frac{1}{n} [sin (u)]_{- πn}^{nπ}

Compute the boundaries:

0

= \frac{1}{n} \cdot 0

Simplify

= 0

y^{^{'}} = cos (x)

\frac{e ^{- 2 s}}{s + 3}

\frac{d}{d x} (x^{2} \cdot tan (x))

x = - 2, x = 2, y = 4 x, y = x^{2} - 5

t^{2}

What is the integral from-pi to pi of cos(nx) ?
The integral from-pi to pi of cos(nx) is 0