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Substitution Techniques Trigonometric substitution is a method often used to simplify integrals involving square roots, such as \(\sqrt{a^2 – x^2}\), \(\sqrt{a^2 + x^2}\), and \(\sqrt{x^2 – a^2}\). For example, substituting \(x = a \sin \theta\) or \(x = a \cos \theta\) can simplify the integral. Special Trigonometric Integrals Certain integrals don’t fall into simple categories […]
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