en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 6sqrt(t)

Solution

\int 6 t d t

Solution

4 t^{\frac{3}{2}} + C

Solution steps

\int 6 t d t

Take the constant out:

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

= 6 \cdot \int t d t

Apply the Power Rule

: \frac{2}{3} t^{\frac{3}{2}}

= 6 \cdot \frac{2}{3} t^{\frac{3}{2}}

Simplify

6 \cdot \frac{2}{3} t^{\frac{3}{2}} : 4 t^{\frac{3}{2}}

= 4 t^{\frac{3}{2}}

Add a constant to the solution

= 4 t^{\frac{3}{2}} + C

Graph

Popular Examples

integral of (-4)/(3x)

\int \frac{- 4}{3 x} d x

integral of x\sqrt[5]{4+x^2}

\int x 5 4 + x^{2} d x

integral of 8cos^2(θ)

\int 8 cos^{2} (θ) d θ

integral of (2x+1)/(x(x+1))

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

integral of sec(w)

\int sec (w) d w

Frequently Asked Questions (FAQ)

What is the integral of 6sqrt(t) ?
The integral of 6sqrt(t) is 4t^{3/2}+C