original Roblem cictermiru tie foun r series that represe 43 The function t) Vhu

Question

original Roblem cictermiru tie foun r series that represe 43 The function t) Vhuw vit) /t for Cutel jesin mtdt.-tcost--casrntde kts2 using integimenty m udV: uv1ydy Br-l2+€.sin mdt1tsn dt:FH)Smdt assn dk Sin mtat v--cosnt Pnf -2 Sinnnt-ft SinmtdtIts nrntat-f2 sinmtdb"It sin mtdt Us dip duat Bo-f2c s nt--/tc antSino T, t-tees n-Sun nt-F2coornt)2-Ftcs t sinn 4 2 m)-2 Bn+2cosm(-). 2cosml-2) f-usr-m) t Sinm11) r 2usm-2, q ol-2) Sinm-2) m2 m2 Hi-los mL1) t Sinn U) +COSniJ) f Sinne+))+/-2 ccom2) tausmli) 20sm(2) t Sinmiz) tcosmus-SinrnW) Show that Simplification OF Bo rutts in: BF4:Sin(nn)+2an(gr that simplificationofBr resultsin: Br4_snn ) 2a4279 n2T2 Also sow that this furicr scrics can be Writnas lsoShow HnH his fouricr scncs can be Writtenas: yir)[m34Sin Sin -J1 sn t...) (r)41-sin .Sin 2nt r25Sin2-L sr,22 t + 14

Explanation / Answer

You have made mistake. The interval is from 0 to 2 and and in interval -2 to 0 the value of function is 0.

Secondly. When transforming one variable to another, the limits is changed. you havent taken it to account.

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