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Solution for Integrate the Functions Tan2(2x – 3) - CBSE (Science) Class 12 - Mathematics

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Question

Integrate the functions tan2(2x – 3)

Solution

Let 2x − 3 = t

∴ 2dx = dt

⇒∫tan22x-3dx = ∫sec22x-3 - 1dx=∫sec2t- 1dt2= 12∫sec2t dt - ∫1dt= 12tant - t + C

= 12tan2x-3 - 2x-3 + C

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Solution Integrate the Functions Tan2(2x – 3) Concept: Methods of Integration - Integration by Substitution.
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