What is the integral of 3/(sqrt(t)) ?

The integral of 3/(sqrt(t)) is 6sqrt(t)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 3/(sqrt(t))

\int \frac{3}{t} d t

6 t + C

Solution steps

\int \frac{3}{t} d t

Take the constant out:

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

= 3 \cdot \int \frac{1}{t} d t

Apply the Power Rule

: 2 t^{\frac{1}{2}}

= 3 \cdot 2 t^{\frac{1}{2}}

Simplify

3 \cdot 2 t^{\frac{1}{2}} : 6 t

= 6 t

Add a constant to the solution

= 6 t + C

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

\frac{d}{d x} (- \frac{4 x}{y})

\frac{\partial}{\partial z} (x sin (yz))

\int x arcsin (6 x) d x

\frac{d}{d x} (e^{\frac{3 x}{2}})