(1 pt) Consider the function
Evaluate the definite integral.
This is a homework problem. I got an answer of (1/2) - ln(9), but that is incorrect. I used the properties of integrals to split up the function. Can you give me a hint? Thanks!
$\displaystyle \int_{0}^{9} f(x) dx = \int_{0}^{1} f(x) dx + \int_{1}^{9} f(x)dx$
$\displaystyle = \int_{0}^{1} x dx + \int_{1}^{9} x^{-1} dx$
$\displaystyle = \frac{1}{2}x^{2} \bigg|_{0}^{1} \: \: + \: \: \ln x \bigg|_{1}^{9}$
Try going through it more carefully
Ah darn, 2.5 - 2 now eh ?