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Question-226668




Question Number 226668 by Spillover last updated on 09/Dec/25
Answered by Frix last updated on 09/Dec/25
=∫_0 ^π (2cos 16x +4cos 14x +2cos 12x −4cos 10x −8cos 8x −8cos 6x −2cos 4x +8cos 2x +7)dx=  ...  =7π
$$=\underset{\mathrm{0}} {\overset{\pi} {\int}}\left(\mathrm{2cos}\:\mathrm{16}{x}\:+\mathrm{4cos}\:\mathrm{14}{x}\:+\mathrm{2cos}\:\mathrm{12}{x}\:−\mathrm{4cos}\:\mathrm{10}{x}\:−\mathrm{8cos}\:\mathrm{8}{x}\:−\mathrm{8cos}\:\mathrm{6}{x}\:−\mathrm{2cos}\:\mathrm{4}{x}\:+\mathrm{8cos}\:\mathrm{2}{x}\:+\mathrm{7}\right){dx}= \\ $$$$… \\ $$$$=\mathrm{7}\pi \\ $$

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