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\int\sqrt{3x+2}dx

Integrate (3x+2)^0.5

Answer

$\frac{2}{9}\sqrt{\left(2+3x\right)^{3}}+C_0$

Step-by-step explanation

Problem

$\int\sqrt{3x+2}dx$
1

Solve the integral $\int\sqrt{2+3x}dx$ applying u-substitution. Let $u$ and $du$ be

$\begin{matrix}u=2+3x \\ du=3dx\end{matrix}$

Unlock this step-by-step solution!

Answer

$\frac{2}{9}\sqrt{\left(2+3x\right)^{3}}+C_0$

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$\int\sqrt{3x+2}dx$

Main topic:

Integration by substitution

Used formulas:

2. See formulas

Time to solve it:

~ 0.37 seconds