What is the value of integral $\ln x$? Example:
$\int_2^4 \left(5x^4+2x+5+2\ln x +{1\over x}\right)\,dx$
What is the value of integral $\ln x$? Example:
$\int_2^4 \left(5x^4+2x+5+2\ln x +{1\over x}\right)\,dx$
I guess what you are looking for is an antiderivative of $\ln(x)$. It is $ \int \ln(x) \; dx = x\ln(x) -x +C. $
This should allow you do find the integral.
Hint: use integration by parts.
Another hint is greyed out below (hover over the box to show it, but only after you've tried!)
$\displaystyle \int \ln x\, dx = \int (1 \times \ln x)\, dx$