Question

Tìm ham số f(x)=\(\dfrac{1}{2x+3}\)và f(2)=1

Answer 1

\(\int\dfrac{1}{2x+3}dx=\dfrac{1}{2}ln\left|2x+3\right|+C\)

ta có \(f\left(2\right)=\dfrac{1}{2}ln\left|2\times2+3\right|+C=\dfrac{1}{2}ln7+C=1\Leftrightarrow C=1-\dfrac{1}{2}ln7\)