Energy Engineering - Analisi e geometria 1

Tavola sviluppi di Taylor

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15x5 +17 315x7 +62 2835x9 +o(x10 ) sinhx=x+x3 15x5 ¡17 315x7 +62 2835x9 +o(x10 ) 1 1¡x= 1 +x+x2 +x3 +¢ ¢ ¢+xn +o(xn ) log(1 +x) =x¡x2 2x2 +®(®¡1)(®¡2) 6x3 +¢ ¢ ¢+µ ® n¶ xn +o(xn ) con µ ® n¶ =®(®¡1)(®¡2)¢ ¢ ¢ ¢ ¢(®¡n+ 1) cos2 xdx= tanx+C Z 1 sin2 xdx=¡cotanx+C Z coshx dx= sinhx+C Z sinhx dx= coshx+C Z 1 cosh2 xdx= tanhx+C Z 1 sinh2 xdx=¡cotanhx+C Z 1 a+C Z 1