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PDF-x2a2=atant.TheformulasfromSection6.8maybehelpful,especiallyforsimpli PDF document

3p p 16x2dxLetx4sintThenp 16x24costdx4costdtandtsin1x4Zx2 p 16x2Z16sin2t 4cost4costdtZ16sin2tdtZ81cos2tdtwhereweusedsin2t1cos2x28t4sin2tC8sin1x 44sin2sin1x 4C8si

3.p p 16x2dxLetx=4sint.Then p 16x2=4cost dx=4costdtandt=sin1(x=4).Zx2 p 16x2=Z16sin2t 4cost4costdt=Z16sin2tdt=Z8(1cos2t)dt;whereweusedsin2t=(1cos2x)=2=8t4sin2t+C=8sin1x 44sin2sin1x 4+C=8si

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