What is the integral of sin(x+pi/4) ?

The integral of sin(x+pi/4) is -cos(x+pi/4)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of sin(x+pi/4)

\int sin (x + \frac{π}{4}) d x

- cos (x + \frac{π}{4}) + C

Solution steps

\int sin (x + \frac{π}{4}) d x

Apply u-substitution

: \int sin (u) d u

= \int sin (u) d u

Use the common integral:

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

= - cos (u)

Substitute back

u = x + \frac{π}{4}

= - cos (x + \frac{π}{4})

Add a constant to the solution

= - cos (x + \frac{π}{4}) + C

\int_{2}^{\infty} e^{- 3 p} d p

\int \frac{1}{e ^{π}} d x

\int_{0}^{\frac{π}{3}} x sin (2 x) d x

\frac{1}{( s + 1 ) ^{3}}

n = 1 \sum \infty \frac{2}{n ^{\frac{3}{2}}}

What is the integral of sin(x+pi/4) ?
The integral of sin(x+pi/4) is -cos(x+pi/4)+C