determine-the-general-antiderivative-of-the-function-fx5xfxfrac5x

Question

Find the family of antiderivatives, F(x)F(x), of the function f(x)=5xf(x)=\frac{5}{x}, where 0"\u003ex\u003e0x\u003e0.

Accepted Answer

F(x)=5ln⁡(x)+CF\left(x\right)=5\ln\left(x\right)+C

Answer

F(x)=5x2+CF\left(x\right)=\frac{5}{$$x^2$$}+C

Answer

F(x)=−5ln⁡(x)+CF\left(x\right)=-5\ln\left(x\right)+C

Answer

F(x)=−5x2+CF\left(x\right)=-\frac{5}{$$x^2$$}+C

Find the family of antiderivatives, F(x)F(x), of the function f(x)=5xf(x)=\(\frac{5}{x}\), where x>0x>0.