filmov
tv
Integral of sin(x)/cos^4(x) (substitution)
![preview_player](https://i.ytimg.com/vi/fe2xbzLx16E/maxresdefault.jpg)
ะะพะบะฐะทะฐัั ะพะฟะธัะฐะฝะธะต
๐ถ ๐๐ญ๐๐ฉ๐ฌ
00:00 Rewrite expression
00:15 Substitution: u=cos(x)
00:21 Differentiate in both sides
00:36 Substitute cos(x) and sin(x)dx
00:50 Rewrite expression
00:56 Integrate u^(-4)
01:05 Rewrite expression
01:18 Undo substitution: u in terms of x
01:25 Add integration constant +C
01:31 Final answer!
๐ ๐๐ซ๐ ๐ฒ๐จ๐ฎ ๐ฅ๐จ๐จ๐ค๐ข๐ง๐ ๐๐จ๐ซ ๐ ๐ฉ๐๐ซ๐ญ๐ข๐๐ฎ๐ฅ๐๐ซ ๐ข๐ง๐ญ๐๐ ๐ซ๐๐ฅ? ๐ ๐ข๐ง๐ ๐ข๐ญ ๐ฐ๐ข๐ญ๐ก ๐ญ๐ก๐ ๐ข๐ง๐ญ๐๐ ๐ซ๐๐ฅ ๐ฌ๐๐๐ซ๐๐ก๐๐ซ:
๐ ๐๐๐ฏ๐ ๐ฒ๐จ๐ฎ ๐ฃ๐ฎ๐ฌ๐ญ ๐ฅ๐๐๐ซ๐ง๐๐ ๐๐ง ๐ข๐ง๐ญ๐๐ ๐ซ๐๐ญ๐ข๐จ๐ง ๐ฆ๐๐ญ๐ก๐จ๐? ๐ ๐ข๐ง๐ ๐๐๐ฌ๐ฒ, ๐ฆ๐๐๐ข๐ฎ๐ฆ ๐๐ง๐ ๐ก๐ข๐ ๐ก ๐ฅ๐๐ฏ๐๐ฅ ๐๐ฑ๐๐ฆ๐ฉ๐ฅ๐๐ฌ ๐ก๐๐ซ๐:
๐ ๐ ๐จ๐ฅ๐ฅ๐จ๐ฐ @๐ข๐ง๐ญ๐๐ ๐ซ๐๐ฅ๐ฌ๐๐จ๐ซ๐ฒ๐จ๐ฎ ๐๐จ๐ซ ๐ ๐๐๐ข๐ฅ๐ฒ ๐ข๐ง๐ญ๐๐ ๐ซ๐๐ฅ! ๐
๐ ๐จ๐ฅ๐ฅ๐จ๐ฐ ๐๐ง๐ญ๐๐ ๐ซ๐๐ฅ๐ฌ ๐ ๐จ๐ซ๐๐จ๐ฎ
๐๐จ๐ง๐๐ญ๐
#integralsforyou #integrals #integrationbysubstitution
ะะพะผะผะตะฝัะฐัะธะธ