RUMUS MATEMATIKA: INTEGRAL FUNGSI EKSPONEN DAN LOGARITMA
Rumus integral yang melibatkan fungsi logaritmik
$\small {\int \ln(cx)dx = x\ln(cx) - x }\\\small {\int \ln(ax+b)dx = x\ln(ax+b) - x + \frac{b}{a}\ln(ax + b) }\\\small {\int (\ln x)^2dx = x(\ln x)^2 - 2x\ln x + 2x }\\\small {\int (\ln (cx))^ndx = x(\ln x)^n - n\cdot\int (\ln (cx))^{n-1}dx }\\\small {\int \frac{dx}{\ln x} = \ln|\ln x|+\ln x+\sum\limits_{n=2}^\infty\frac{(\ln x)^i}{i\cdot i!} }\\\
$\small {\int \ln(cx)dx = x\ln(cx) - x }\\\small {\int \ln(ax+b)dx = x\ln(ax+b) - x + \frac{b}{a}\ln(ax + b) }\\\small {\int (\ln x)^2dx = x(\ln x)^2 - 2x\ln x + 2x }\\\small {\int (\ln (cx))^ndx = x(\ln x)^n - n\cdot\int (\ln (cx))^{n-1}dx }\\\small {\int \frac{dx}{\ln x} = \ln|\ln x|+\ln x+\sum\limits_{n=2}^\infty\frac{(\ln x)^i}{i\cdot i!} }\\\
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