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logistic_guy

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Look at this simple integral.

2x dx=2xln2+C\displaystyle \int 2^x \ dx = \frac{2^x}{\ln 2} + C

Why do we divide by ln2\displaystyle \ln 2? From where did it come?

💪😈😈
 
Look at this simple integral.

2x dx=2xln2+C\displaystyle \int 2^x \ dx = \frac{2^x}{\ln 2} + C

Why do we divide by ln2\displaystyle \ln 2? From where did it come?

💪😈😈

Because

ln(2^x) = x*ln(x) ............ by extension of definition of ln(a) and ln(a*b)
 
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