What is the integral of 2/(sqrt(t)) ?

The integral of 2/(sqrt(t)) is 4sqrt(t)+C

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integral of 2/(sqrt(t))

\int \frac{2}{t} d t

4 t + C

Solution steps

\int \frac{2}{t} d t

Take the constant out:

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

= 2 \cdot \int \frac{1}{t} d t

Apply the Power Rule

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

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

Simplify

2 \cdot 2 t^{\frac{1}{2}} : 4 t

= 4 t

Add a constant to the solution

= 4 t + C

n = 0 \sum \infty - n

y^{^{'}} = 3 sin (x) (2 - y)

\frac{d}{d x} (\frac{- 14}{x})

x - 1

x \to \infty lim (1 + \frac{5}{x})