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INTEGRATION

Former Community Member
Former Community Member

 

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  • Former Community Member
    0 Former Community Member
    Hi Okanta,

    I think the solution is derived as follows:

    The term exp 2.3 is a constant. Therefore the heart of the problem is to integrate ln x. The method of integration by parts enables this as follows:

    integral (ln x)exp2.3 = exp2.3 (integral (ln x * 1) dx)
    = exp2.3 (ln x * x - integral (x^-1* x) dx)
    = exp2.3 (x * ln x - x) + C

    Note that ln x was multiplied by 1 to form a product that responds easily to integration by parts.

    Regards,
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  • Former Community Member
    0 Former Community Member
    Hi Okanta,

    I think the solution is derived as follows:

    The term exp 2.3 is a constant. Therefore the heart of the problem is to integrate ln x. The method of integration by parts enables this as follows:

    integral (ln x)exp2.3 = exp2.3 (integral (ln x * 1) dx)
    = exp2.3 (ln x * x - integral (x^-1* x) dx)
    = exp2.3 (x * ln x - x) + C

    Note that ln x was multiplied by 1 to form a product that responds easily to integration by parts.

    Regards,
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