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24 May, 02:12

Determine whether the statement is true or false, and explain why.

Integration by parts should be used to evaluate ∫ln (4x) dx.

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  1. 24 May, 02:14
    0
    True

    Step-by-step explanation:

    The problem ∫ln (4x) dx can be solved with integration by parts.

    ∫ udvdx = uv - ∫ vdu dx ... equ1

    where u=ln4x, dv=1dx

    du/dx = 1/4x v=x

    subtituting those values into the equ 1, we have

    ∫ln (4x) dx = ln4x * x - ∫x * (1/4x) dx

    = xln4x - ∫ (1/4) dx

    =xln4x - x/4 + C
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