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\int\sqrt{36-4x^2}dx

Integral of (36-4x^2)^0.5

Answer

$\int9\left(\cos\left(2\theta\right)+1\right)d\theta$

Step-by-step explanation

Problem

$\int\sqrt{36-4x^2}dx$
1

First, factor the terms inside the radical for an easier handling

$\int\sqrt{4\left(9-x^2\right)}dx$

Unlock this step-by-step solution!

Answer

$\int9\left(\cos\left(2\theta\right)+1\right)d\theta$
$\int\sqrt{36-4x^2}dx$

Main topic:

Integration by trigonometric substitution

Used formulas:

4. See formulas

Time to solve it:

~ 2.09 seconds