Determine the following integrals when possible: ∫ e^Inz dx;
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Using integration by parts, we can set u = ln(z) and dv = dx, which gives us du = dz/z and v = x. Thus, we have: ∫ ln(z) dx = x ln(z) - ∫ x dz/z Using the natural logarithm property ln(ab) = ln(a) + ln(b), we can simplify the integral to: ∫ ln(z) dx = x ln(z) - Show more…
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