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Integral of x/((5+4x)^0.5)

\int\frac{x}{\sqrt{5+4x}}dx

Step by step solution

Problem

$\int\frac{x}{\sqrt{5+4x}}dx$

Show full step-by-step solution

Answer

$\frac{1}{4}\left(\frac{2}{3}\sqrt{\left(4x+5\right)^{3}}-10\sqrt{4x+5}\right)+C_0$
$\int\frac{x}{\sqrt{5+4x}}dx$

Main topic:

Integration by substitution

Used formulas:

3. See formulas

Time to solve it:

0.39 seconds