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Solve integral of [(cos 2 2x) / cos 2 x ] dx

Solve integral of    [(cos 2 2x) / cos 2 x ]  dx

Grade:12

1 Answers

pratham ashish
9 Points
12 years ago
hi, {cos2x/cos(x)}^2 = {(2cos^2(x)-1)/cosx}^2 => {2 cosx-secx}^2 = {4(cosx)^2+(secx)^2-4} => {2{2(cosx)^2 -1} -2 +(secx^2)} => 2cos(2x)dx -2dx +9secx)^2dx => integral of {cos2x/cos(x)}^2 = integral of 2cos(2x)dx -2dx +9secx)^2dx = sin(2x) -2x +tan(x)+c.

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