1. Consider the following plot of the function f(x) =(2x2 − 1)/( (4x − 1) (x2 + 1)) on the interval [−4,4].
a) Express the function f(x) in terms of partial fractions.
(b) Use your result from part (a) and compute R f(x) dx
(c) Find the area under the curve for the plot mentionedabove.
1 Consider The Following Plot Of The Function F X 2x2 1 4x 1 X2 1 On The Interval 4 4 A Express 1 (51.67 KiB) Viewed 50 times
1. Consider the following polt of the function f(x)=(4x−1)(x2+1)2x2−1 on the interval [−4,4] (a) Express the function f(x) in terms of partial fractions. (b) Use your result from part (a) and compute ∫f(x)dx (c) Find the area under the curve for the above mentioned plot. Hint:Note the singularity in the denominators. If you want to do ∫−44f(x)dx this integral will not converge. You may want to use the ides from piecewise functions.
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