1.

If \[u=\int_{{}}^{{}}{{{e}^{ax}}\cos bx\ dx}\] and \[v=\int_{{}}^{{}}{{{e}^{ax}}\sin bx\ dx}\], then \[({{a}^{2}}+{{b}^{2}})({{u}^{2}}+{{v}^{2}})=\]

A. \[2{{e}^{ax}}\]
B. \[({{a}^{2}}+{{b}^{2}}){{e}^{2ax}}\]
C. \[{{e}^{2ax}}\]
D. \[({{a}^{2}}-{{b}^{2}}){{e}^{2ax}}\]
Answer» D. \[({{a}^{2}}-{{b}^{2}}){{e}^{2ax}}\]


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