can i change the above expression to the below expression? why?
here's my question actually https://www.flickr.com/photos/123101...3/13933620504/
here's the working, second photo is continuous from the first
https://www.flickr.com/photos/123101...3/13910042102/
https://www.flickr.com/photos/123101...3/13933180755/
if i cant do it in such way, can you please show me how do u get the ans please? thanks in advance!
$\displaystyle \int 1+ \frac{6}{6-x} dx$
Well you are right that integration can be separated when two expressions are added or subtracted, integration has this additive property. The equation would become
$\displaystyle \int 1 dx + \int \frac{6}{6-x} dx$
But you made a little mistake with your fraction, the fraction can be changed to
$\displaystyle \int 1 dx + \int \frac{3}{\frac{1}{2}(6-x)} dx$
Changing the fraction doesn't really help with solving it though, try the change of variable y=6-x