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\int3x\sqrt{x+6}dx

Integral of 3x*(x+6)^0.5

Answer

$3\left(\frac{2}{5}\sqrt{\left(x+6\right)^{5}}-4\sqrt{\left(x+6\right)^{3}}\right)+C_0$

Step-by-step explanation

Problem to solve:

$\int3x\sqrt{x+6}dx$
1

Take the constant out of the integral

$3\int x\sqrt{x+6}dx$

Unlock this step-by-step solution!

Answer

$3\left(\frac{2}{5}\sqrt{\left(x+6\right)^{5}}-4\sqrt{\left(x+6\right)^{3}}\right)+C_0$

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