What is the integral from 0 to pi of sin(x)+cos(x) ?

The integral from 0 to pi of sin(x)+cos(x) is 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 of sin(x)+cos(x)

\int_{0}^{π} sin (x) + cos (x) d x

2

Solution steps

\int_{0}^{π} sin (x) + cos (x) 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}^{π} sin (x) d x + \int_{0}^{π} cos (x) d x

\int_{0}^{π} sin (x) d x = 2

\int_{0}^{π} cos (x) d x = 0

= 2 + 0

Simplify

= 2

\int_{0}^{1} e^{- s t} (2 t + 1) d t

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

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

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

\int_{1}^{2} \frac{x + 1}{x ^{2} + 2 x} d x

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