[DTube] Integral of ∫dx/sqrt(1-x^2)steemCreated with Sketch.

in #dtube6 years ago (edited)


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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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Please ask me a maths question by commenting below and I will try to help you in future videos.


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