The values of the following integrals are known and can be found in integral tables or by computer. Your goal in evaluating them is to learn about contour
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- Use the Fundamental Theorem to calculate the definite integrals. re-2 1 dx -1 x+2arrow_forwardThis question is designed to be answered without a calculator. A farm has a rectangular pigpen that is 10 meters by 20 meters. One of the 10-meter sides is bordered by a feeding trough along the entirety of the side. 20 m Trough 10 m Inside the pigpen, the number of pigs per square meter at a distance of x meters from the feeding trough is Which definite integral gives the total number of pigs in the pigpen? 20 O p(x)dx 20 O 10 of p(x)dx 20 O 20 p(x)dx O:200 200² P p(x)dx Submit Nextarrow_forwardfx³ √√x² - 16 dx. You do not actually have to finish the evaluation of the integral. (You may, if you wish, check your answer using an integral table, but you should show all steps resulting from using the substitution described below to fully justify you answer.) (a) Suppose that we define so that x = 4 sec 0, that is, 0 = arcsec Find dx and √x² - 16 in terms of and de. (b) Use your work in part (a) to rewrite the integral fx³ √√x² - 16 dx solely in terms of powers of sin(0), cos(8), tan(0), sec(0), constants, 0, and de.arrow_forward
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