The standard approach to finding antiderivatives of trigonometric expressions such as sin(ax) cos(bx) is to make use of certain trigonometric identities. The disadvantage of this technique is that it gives no insight into the problem, but relies on students using a memorized formula. This note ...
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Question: Trig integrals. ∫tan7(x)sec2(x)dx Indefinite Integral: Users must determine the given indefinite integral. For the given indefinite integral, you will use the integration substitution method and undo the substitution to obtain the desired result. ...
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Study with Quizlet and memorize flashcards containing terms like int x^n dx, S dx, fex dx and more.
1. if one of the powers (or both) are odd, separate one of the odd powers away (to be cancelled out) / 2. convert everything else to other trig function / 3. set "u" to opposite of odd trig to cancel out and solve power of sine and cosine integrals (even) ...
keep one sinx to be du, rewrite remaining sinx as (cos²x-1), u-substitution with u=cosx integrate even powers of sine and cosine use half-angle trig identity to rewrite in terms of cos2x ∫1/a²+x² dx 1/a arctan(x/a) ...
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