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

The integral from pi/4 to pi of sin(θ) is 1+1/(sqrt(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 of sin(θ)

\int_{\frac{π}{4}}^{π} sin (θ) d θ

1 + \frac{1}{2}

Decimal

1.70710 \dots

Solution steps

\int_{\frac{π}{4}}^{π} sin (θ) d θ

Use the common integral:

\int sin (θ) d θ = - cos (θ)

= [- cos (θ)]_{\frac{π}{4}}^{π}

Compute the boundaries:

1 + \frac{1}{2}

= 1 + \frac{1}{2}

f (x) = 3 x + x

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

\frac{d}{d x} (ln (\frac{5 x + 1}{x ^{2} - 3}))

x \to 3 lim (\frac{x ^{3} - 9}{x - 3})

x^{3} + 2 x + 1, 1

What is the integral from pi/4 to pi of sin(θ) ?
The integral from pi/4 to pi of sin(θ) is 1+1/(sqrt(2))