What is the integral of sin(x+pi/2) ?

The integral of sin(x+pi/2) is sin(x)+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/2)

\int sin (x + \frac{π}{2}) d x

sin (x) + C

Solution steps

\int sin (x + \frac{π}{2}) d x

Rewrite using trig identities

= \int cos (x) d x

Use the common integral:

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

= sin (x)

Add a constant to the solution

= sin (x) + C

\int x tan (3) x^{2} d x

\int \frac{3}{2 x + 6} d x

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

\int \frac{x}{1 - a x ^{2}} d x

\int (3 x^{2} + 3) sin (3 x^{3} + 9 x) d x