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Integrate x^2(x-4)^0.5

\int x^2\sqrt{x-4}dx

Step by step solution

Problem

$\int x^2\sqrt{x-4}dx$

Show full step-by-step solution

Answer

$32\int\sec\left(\theta\right)^{4}\cdot\frac{d}{d\theta}\left(4\sec\left(\theta\right)^{2}\right)\tan\left(\theta\right)d\theta$
$\int x^2\sqrt{x-4}dx$

Main topic:

Integration by trigonometric substitution

Used formulas:

1. See formulas

Time to solve it:

0.32 seconds