Could someone check this is let me know where I went wrong or if I am understanding the solution to the problem at all? http://openstudy.com/study#/updates/4fdfd180e4b0f2662fd6250f

Question

dumbcow · Answer

your answers seem correct...the areas above and below x-axis are symmetric
the integral should be:
$$A = 2 \int_{0}^{2}\frac{x}{x^{2}+3} - \frac{x}{7} dx$$

dumbcow · Answer

which comes out to be
$$= \ln 7 - \ln 3 - \frac{4}{7}$$

anonymous · Answer

wait that last thing you meant to right -4/14 not -4/7 right?

anonymous · Answer

Thank you for checking btw =)

dumbcow · Answer

no its 4/7 because of you double it due to symmetry

dumbcow · Answer

when you integrate there is a 1/2 in front of the log that goes away when you double it

anonymous · Answer

That was it I didn't notice the lack of 1/2's in the final step. Thanks =)