1. Use residues to evaluate the integrals shown below sinx a) S- dx x+4x+5 -00
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Please please answer both subparts.
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- Find / tan-1 -dr using integration by parts.A graph of f(x) = -2x + 4 is shown above. Using the geometry of the graph, evaluate the definite integrals. a) (-2x + 4) dx = b) (-2x + 4) dx = c) (-2x + 4) dx = d) (-2x + 4) dx = e) (-6x + 12) dx =Derive the following: a.) xy^2 + xtany = ysinx b.) ye^x + sinxy = xtanxy