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[laTEX]I = \int 2^x.sinx.dx = -2^x.cosx + ln2.\int 2^x.cosx.dx \\ \\ I = -2^x.cosx + ln2.( 2^x.sinx - ln2.\int 2^x.sinx.dx) \\ \\ I = -2^x.cosx + ln2.2^x.sinx - ln^22. I \\ \\ I = \frac{-2^x.cosx + ln2.2^x.sinx }{1+ln^22}+ C[/laTEX]
 
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