Integrate using an appropriate formula For each problem, state the formula number, u and du, identify...
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Integrate using an appropriate formula For each problem, state the formula number, u and du, identify any constants (if appropriate), and show any constant "adjustments" / "Multiply by 1" if needed. 4. fx arc cot(3x) dx 5. 2 lnt t1+5lnt dt Forms Involving a + bu 2 16. 1 + [a + budu = b(24 4+ 3) [4^(a + buy)/2_ na [in- a + bu du] af 1 17. Suva+ bu du = ua 18. 19. 20. 21. S S 1 du = un a + bu a + bu u s Ja S + bu un u a + bu du = du = du = a + bu a a a + bu + al In 2 a + bu -a -a arctan - 1 a(n = 1) [ a + bu un-1 2a + bu + a -1 a(n 1)(a + bu)3/2 un-1 + C, a > 0 1 + af uva + bu du ua -2(2a - bu) 36 +C, a < 0 (2n 1 " = 31b [-1 a + bu du] . 1 + 1 n n 2 un- + (2n - 25)b a + bu du]. n + 1 un-1 a + bu + C un 2 22. a + bu du = (2n + 1)b(u a + bu - na a + budu) Integrate using an appropriate formula For each problem, state the formula number, u and du, identify any constants (if appropriate), and show any constant "adjustments" / "Multiply by 1" if needed. 4. fx arc cot(3x) dx 5. 2 lnt t1+5lnt dt Forms Involving a + bu 2 16. 1 + [a + budu = b(24 4+ 3) [4^(a + buy)/2_ na [in- a + bu du] af 1 17. Suva+ bu du = ua 18. 19. 20. 21. S S 1 du = un a + bu a + bu u s Ja S + bu un u a + bu du = du = du = a + bu a a a + bu + al In 2 a + bu -a -a arctan - 1 a(n = 1) [ a + bu un-1 2a + bu + a -1 a(n 1)(a + bu)3/2 un-1 + C, a > 0 1 + af uva + bu du ua -2(2a - bu) 36 +C, a < 0 (2n 1 " = 31b [-1 a + bu du] . 1 + 1 n n 2 un- + (2n - 25)b a + bu du]. n + 1 un-1 a + bu + C un 2 22. a + bu du = (2n + 1)b(u a + bu - na a + budu)
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Related Book For
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
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