March 28, 2017

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find the volume of the region bounded by y=e^x, y=0, x=-1, x=1 rotated about the x axis

  • Calculus - ,

    π∫(e^x)^2 dx evaluated from -1 to 1
    this is the disk method and u substitution(u = 2x)
    =.5π∫e^u du
    =.5πe^2x evaluated at 1 and -1
    =3.626π cubic units
    about 11.39 cubic units

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