It can be shown that a. Use a computer algebra system to confirm this result for n = 2, 3, 4, and 5. b. Evaluate

It can be shown that

2 is an even integer 2.4.6···n .. (п — 1) " style="" class="fr-fic fr-dib">

a. Use a computer algebra system to confirm this result for n = 2, 3, 4, and 5.

b. Evaluate the integrals with n = 10 and confirm the result.

c. Using graphing and/or symbolic computation, determine whether the values of the integrals increase or decrease as n increases.

-/2 sin" x dx = /2 cos" dx 1:35 (n 1) T if n > 2 is an even integer 2.4.6n .. ( 1) 3.5.7.n 2.4.6. if n > 3 is an odd integer.