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March 27, 2017

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Find the value of the definite integral:

int= integral sign

int((x + 2)/(x^(3/2)),x= 16..25)dx

I have no idea how to start this... would I get rid of the fraction?

  • Calc, - ,

    you do it by converting it to int[x/x^(3/2)+2/x^(3/2)]= int[1/x^(1/2)+2/x^(3/2)]=
    int[x^(-1/2)+2*x^(-3/2)]=
    [2x^(1/2)-4*x^(-1/2)]x=16...25=
    10-4/5-8+1=
    11/5

  • Calc, - ,

    Oops, I should have been more specific. I need to solve it using sums, not antiderivates.

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