What is the integral of cos(0.5x) ?

The integral of cos(0.5x) is 2sin(0.5x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of cos(0.5x)

\int cos (0.5 x) d x

2 sin (0.5 x) + C

Solution steps

\int cos (0.5 x) d x

Apply u-substitution

: \int cos (u) \frac{1}{0.5} d u

= \int cos (u) \frac{1}{0.5} d u

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= \frac{1}{0.5} \cdot \int cos (u) d u

Simplify

= 2 \cdot \int cos (u) d u

Use the common integral:

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

= 2 sin (u)

Substitute back

u = 0.5 x

= 2 sin (0.5 x)

Add a constant to the solution

= 2 sin (0.5 x) + C

e^{- \frac{x}{2}}

t e^{t}

y^{^{'}} - 2 y = x^{2} e^{2 x}

\frac{d}{d x} (e^{5 x - 3})

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