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Assume that p and q are odd functions. Prove that the integrand below is either even or odd. Then give the value of the integral

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Assume that p and q are odd functions. Prove that the integrand below is either even or odd. Then give the value of the integral or show how it can be simplified. p ( q (x ) ) dx - a . . . Substitute - x for x in p(q(x)). Given that p and q are odd, what is the value of p(q( -x))? O A. P(q( -x)) = - p(q(-x)) O B. p(q( - x)) = - p(q(x)) O c. p(q( - x)) = p(q(x)) OD. P(q( - X)) = p( - q( - x) ) Given the results of the previous step, is p(q(x)) even or odd? O Odd O Even Given the symmetry of p(q(x)), solve or simplify p(q(x)) dx. - a a a O A . [ P(Q( x ) ax = 2 / p(q(* ) dx O B. p(q ( x ) ) dx = p ( q ( * ) ) dxAssume that p and q are odd functions. Prove that the integrand below is either even or odd. Then give the value of the integral or show how it can be simplified. p ( q ( x ) ) dx - a . . . O c. p(q(- x)) = p(q(x)) O D. P(q( - x)) = p( - q(-x)) Given the results of the previous step, is p(q(x)) even or odd? O Odd O Even Given the symmetry of p(q(x)), solve or simplify | p(q(x)) dx. - a a O A. P(q (x ) ) dx = 2 p(q ( x ) ) dx O B . [ pra(x ) ox = [ pra( x ) x - a - a a OD. p ( q ( x ) ) dx = 1 O c. p ( q ( x ) ) dx = 0 - a - a

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