Integral of cos^2(2x) (substitution)

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ะŸะพะบะฐะทะฐั‚ัŒ ะพะฟะธัะฐะฝะธะต

โœ… ๐ƒ๐ž๐ซ๐ข๐ฏ๐š๐ญ๐ข๐ฏ๐ž ๐ญ๐จ ๐œ๐ก๐ž๐œ๐ค ๐ญ๐ก๐ž ๐ฌ๐จ๐ฅ๐ฎ๐ญ๐ข๐จ๐ง

๐Ÿšถ ๐’๐ญ๐ž๐ฉ๐ฌ
00:00 Rewrite expression
01:00 Split into two integrals
01:18 Substitution: u=4x
01:23 Differentiate in both sides
01:34 Substitute 4x and dx
01:51 Rewrite expression
02:07 Integrate dx and cos(u)du
02:18 Undo substitution: u in terms of x
02:28 Add integration constant +C
02:34 Final answer!

๐Ÿ” ๐€๐ซ๐ž ๐ฒ๐จ๐ฎ ๐ฅ๐จ๐จ๐ค๐ข๐ง๐  ๐Ÿ๐จ๐ซ ๐š ๐ฉ๐š๐ซ๐ญ๐ข๐œ๐ฎ๐ฅ๐š๐ซ ๐ข๐ง๐ญ๐ž๐ ๐ซ๐š๐ฅ? ๐…๐ข๐ง๐ ๐ข๐ญ ๐ฐ๐ข๐ญ๐ก ๐ญ๐ก๐ž ๐ข๐ง๐ญ๐ž๐ ๐ซ๐š๐ฅ ๐ฌ๐ž๐š๐ซ๐œ๐ก๐ž๐ซ:

๐ŸŽ“ ๐‡๐š๐ฏ๐ž ๐ฒ๐จ๐ฎ ๐ฃ๐ฎ๐ฌ๐ญ ๐ฅ๐ž๐š๐ซ๐ง๐ž๐ ๐š๐ง ๐ข๐ง๐ญ๐ž๐ ๐ซ๐š๐ญ๐ข๐จ๐ง ๐ฆ๐ž๐ญ๐ก๐จ๐? ๐…๐ข๐ง๐ ๐ž๐š๐ฌ๐ฒ, ๐ฆ๐ž๐๐ข๐ฎ๐ฆ ๐š๐ง๐ ๐ก๐ข๐ ๐ก ๐ฅ๐ž๐ฏ๐ž๐ฅ ๐ž๐ฑ๐š๐ฆ๐ฉ๐ฅ๐ž๐ฌ ๐ก๐ž๐ซ๐ž:

๐Ÿ‘‹ ๐…๐จ๐ฅ๐ฅ๐จ๐ฐ @๐ข๐ง๐ญ๐ž๐ ๐ซ๐š๐ฅ๐ฌ๐Ÿ๐จ๐ซ๐ฒ๐จ๐ฎ ๐Ÿ๐จ๐ซ ๐š ๐๐š๐ข๐ฅ๐ฒ ๐ข๐ง๐ญ๐ž๐ ๐ซ๐š๐ฅ! ๐Ÿ˜‰

๐…๐จ๐ฅ๐ฅ๐จ๐ฐ ๐ˆ๐ง๐ญ๐ž๐ ๐ซ๐š๐ฅ๐ฌ ๐…๐จ๐ซ๐˜๐จ๐ฎ

๐ƒ๐จ๐ง๐š๐ญ๐ž

#integralsforyou #integrals #integrationbysubstitution
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ะšะพะผะผะตะฝั‚ะฐั€ะธะธ
ะะฒั‚ะพั€



๐Ÿ” ๐€๐ซ๐ž ๐ฒ๐จ๐ฎ ๐ฅ๐จ๐จ๐ค๐ข๐ง๐  ๐Ÿ๐จ๐ซ ๐š ๐ฉ๐š๐ซ๐ญ๐ข๐œ๐ฎ๐ฅ๐š๐ซ ๐ข๐ง๐ญ๐ž๐ ๐ซ๐š๐ฅ? ๐…๐ข๐ง๐ ๐ข๐ญ ๐ฐ๐ข๐ญ๐ก ๐ญ๐ก๐ž ๐ข๐ง๐ญ๐ž๐ ๐ซ๐š๐ฅ ๐ฌ๐ž๐š๐ซ๐œ๐ก๐ž๐ซ:


๐ŸŽ“ ๐‡๐š๐ฏ๐ž ๐ฒ๐จ๐ฎ ๐ฃ๐ฎ๐ฌ๐ญ ๐ฅ๐ž๐š๐ซ๐ง๐ž๐ ๐š๐ง ๐ข๐ง๐ญ๐ž๐ ๐ซ๐š๐ญ๐ข๐จ๐ง ๐ฆ๐ž๐ญ๐ก๐จ๐? ๐…๐ข๐ง๐ ๐ž๐š๐ฌ๐ฒ, ๐ฆ๐ž๐๐ข๐ฎ๐ฆ ๐š๐ง๐ ๐ก๐ข๐ ๐ก ๐ฅ๐ž๐ฏ๐ž๐ฅ ๐ž๐ฑ๐š๐ฆ๐ฉ๐ฅ๐ž๐ฌ ๐ก๐ž๐ซ๐ž:


๐Ÿ‘‹ ๐…๐จ๐ฅ๐ฅ๐จ๐ฐ @๐ข๐ง๐ญ๐ž๐ ๐ซ๐š๐ฅ๐ฌ๐Ÿ๐จ๐ซ๐ฒ๐จ๐ฎ ๐Ÿ๐จ๐ซ ๐š ๐๐š๐ข๐ฅ๐ฒ ๐ข๐ง๐ญ๐ž๐ ๐ซ๐š๐ฅ! ๐Ÿ˜‰

IntegralsForYou
ะะฒั‚ะพั€

very good. No yapping straight to the problem. Thank you !!

najjmx
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Thank you so much.
You helped me a lot today.

susamapaul
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What is the integral of cos^2(x).cos^2(2x)dx. Help me, please !

linhlex
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Sir is cosยฒ(t) =1/2 (1+cos(2t)) a rule ? Because i didn't understand how you replaced it !

YAsser-bqgw
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Sir, what is the integration of tan^2(2x)dx.please guide me sir.Regards.

pashupatinathdutta
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nice :) saludos !! #IntegralsForYou hasta el siguiente video...

Melek_OK.
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hello sir. what is the integral of cos^2 (3x) sin^2 (3x) dx?

valeria-txrc
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Hey! Thank you for your videoโ€™s
Whatโ€™s the integral of sqrt (1+9sin^2(3x))

nawalzeidan
ะะฒั‚ะพั€

Sir, please integrate sin^2(2x). Regards.

pashupatinathdutta
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El weรณn tรญmido no sirve un vรญdeo donde no explicas de forma hablada lo que estรกs haciendo

redbull
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U have taken it too long just put 1+cos4x/2 in place of cos^2(2x ) and then integrate it and u will get answer just in 4 to 5 lines

ECPrajwalGond
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Kaam Karo jhat bhar vedio banao raat bhar

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