
Kenneth S. answered 05/31/18
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Expert Help in Algebra/Trig/(Pre)calculus to Guarantee Success in 2018
Let u = 4x3-5; then du = 12x2du and we may write this integral as
3∫tan u du.
From a Table of Integrals, ∫tan u du = -ln|cos u| + C1
Therefore this integral = -3ln|cos (4x3-5)| + C