Question

Find the area of the region between the curve y = 6x/(1 + x2) and the interval -4 <= x <= 4 of
the x-axis. I cant figure out how to do this. I am doing a review packet and the answer is 6 ln 17

Answer 1

Just use integration

take the sum a = -4, b =4 ,
take the
lim
i -> infinity

of the summation and you can just convert it to the integral and then it is as easy as finding the anti derivative and using the fundamental rule of calculus

F(b) - F(a)

to find the area

Answer 2

All integration is, is finding the area under a curve at a specific interval

Answer 3

yeah i know that much but im not sure how to find the anti derivative of this function..