Finding a function from its derivative and a point

Finding a function from its derivative and a point

Secondary 4

TGM Original Questions

Given \(F'(x)=\dfrac3{2x+5}\) and \(F(0)=1\), find \(F(x)\).

Solution:

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Answer:\(F(x)=1+\dfrac32\ln\left(\dfrac{2x+5}{5}\right)\), for \(x>-\dfrac52\).

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