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can you help me in integrating 1/sqrt(1+2cos2x)

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+2 votes
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asked Sep 28, 2017 in Mathematics by aravind3y (25 points) ● 2

1 Answer

+1 vote
answered Sep 29, 2017 by Ranjit (3,065 points) ● 8 ● 29

∫1÷(1+cos2x)2dx

∫1÷(sin2x+cos2x+cos2x-sin2x)2dx

∫1÷(2cos2x)2dx

(1÷4)∫sec4x dx

(1÷4)∫sec2x(1+tan2x) dx

(1÷4)∫sec2x+sec2xtan2x dx

1/4[tanx+(tan3x÷3)]+C..Answer

commented Oct 6, 2017 by aravind3y (25 points) ● 2
it is sqrt not sq
commented Oct 6, 2017 by Ranjit (3,065 points) ● 8 ● 29
???? Sorry i don't ment it
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