Question

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

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

Thank you for checking btw =)

Answer 5

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

Answer 6

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

Answer 7

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