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In problems 1-6, find a rule which describes the given numbers in the sequence. 12. 1 4+ (-1)" } In problems 19 -28, represent each repeating decimal as a series using the sigma notation. 20. 0333 ...Evaluate the following integrals. Use Partial Fractions Decomposition Problem # 1 2x2 + 19x + 22 x2 + x - 12 x Problem # 2 5x3 + 5x + 3 dx x3+ x Evaluate the following integrals. Use Trigonometric substitution Problem # 3 (express your final answer in x and without trig/functions) dx xV25 - x2 Problem # 4 (express your final answer in x and without trig/functions) 1 dx (4x2 - 1)2