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    Integration : Finding Volume of a Disc

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    Find the volume of y = 1/sqrt(1+x^2) bounded by y=0, x=-1, x=1

    I'm using the disc method with a dx function:

    V = pi integral( [R(x)]^2 ) dx

    Therefore, I have

    V = pi integral( [1/sqrt(1+x^2)] ^2 ) dx from -1 to 1

    = pi integral( [ 1/(1+x^2) ] ) dx from -1 to 1

    I can't figure out how to integrate. Please explain any advanced algebra as my algebra skills are "rusty".

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    Mathematics, Calculus
    Year 2
    Finding Volume
    Find the volume of y = ...

    Solution Summary

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