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Integrate (x/2+3)^2

\int\left(\frac{x}{2}+3\right)^2dx

Step by step solution

Problem

$\int\left(\frac{x}{2}+3\right)^2dx$

Show full step-by-step solution

Answer

$\frac{9\left(3+\frac{x}{2}\right)+3x\left(3+\frac{x}{2}\right)+\frac{x^2}{4}\left(3+\frac{x}{2}\right)}{3}+C_0$

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$\int\left(\frac{x}{2}+3\right)^2dx$

Main topic:

Integration by substitution

Used formulas:

2. See formulas

Time to solve it:

0.4 seconds