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[DTube] Integral of ∫dx/sqrt(1-x^2)

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Published: 15 Jan 2019 › Updated: 15 Jan 2019[DTube] Integral of ∫dx/sqrt(1-x^2)

[DTube] Integral of ∫dx/sqrt(1-x^2)


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In this video, we work through the steps to find the indefinite integral or anti-derivative of:

∫dx/sqrt(1-x^2)

with the term 1 - x^2, it is indicative of a trigonometric substitution, so we try:

x = sin(theta) with dx = cos(theta)


Calculus: Integration by Trigonometric Substitution

  1. Integral of ∫dx/sqrt(1-x^2)
  2. Integral of ∫√(a^2 - x^2)dx

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