INTEGRATION BY SUBSITUTION EXAMPLES WITH SOLUTIONS

Problem 1 :

∫ 6θ cos (3θ²) dθ

Solution :

Let t = 3θ²

dt = 3(2θ) dθ

dt = 6θ dθ

∫ 6θ cos (3θ²) dθ = ∫ cos (t) dt

= sin t + C

= sin (3θ²) + C

Problem 2 :

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Problem 3 :

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Problem 10 :

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