What is the integral from-pi/4 to pi/4 of cos(θ) ?

The integral from-pi/4 to pi/4 of cos(θ) is square root of 2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-pi/4 to pi/4 of cos(θ)

\int_{- \frac{π}{4}}^{\frac{π}{4}} cos (θ) d θ

2

Decimal

1.41421 \dots

Solution steps

\int_{- \frac{π}{4}}^{\frac{π}{4}} cos (θ) d θ

Use the common integral:

\int cos (θ) d θ = sin (θ)

= [sin (θ)]_{- \frac{π}{4}}^{\frac{π}{4}}

Compute the boundaries:

2

= 2

\int_{9}^{12} (9 - x) (x - 12) d x

\int_{0}^{1} x^{2} (1 + 3 x^{3})^{5} d x

\int_{0}^{1.6} g (x) d x

\int_{0}^{3} 2 x - 5 d x

\int_{0}^{6} (x - 4)^{- \frac{2}{3}} d x

What is the integral from-pi/4 to pi/4 of cos(θ) ?
The integral from-pi/4 to pi/4 of cos(θ) is square root of 2