MathAnalysisCalculusIntegrals

Trigonometric Substitution

Cancelling out

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For the following expression:

\int \frac{1}{x^2 \cdot \sqrt{4 \ – \ x^2}} \ dx

Which factor will be cancelled out after performing the following substitution and simplifying?

x = 2 \sin(\theta)

Hint

$dx = 2 \cos(\theta) \ d\theta$

Select one option from the list

\cos(\theta)

\cos(2\theta)

\sin(\theta)

2\sin(\theta)\cos(\theta)

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