🎓 Academic Calculus

[Ferocity]

Pa help dito mga sir, iproprove daw using rational functions of sinx and cosx, or weierstrass.

 

[PHC-BlackNight]

Aray...sakit sa mata...

 

[Roby Robyn]

Rewrite mo to tapos check ko

csc udu= csc u (csc u+cot u / csc u+cot u) du
Let u=csc u + cot u
So du= (-csc u cot u - csc^2 u)du = csc u + cot u

csc udu= - du / u

Integral nito
-ln |u| + c

Tapos balik mo lang
-ln |csc u + cot u| + C

 

[PHC-BlackNight]

Rewrite mo to tapos check ko

csc udu= csc u (csc u+cot u / csc u+cot u) du
Let u=csc u + cot u
So du= (-csc u cot u - csc^2 u)du = csc u + cot u

csc udu= - du / u

Integral nito
-ln |u| + c

Tapos balik mo lang
-ln |csc u + cot u| + C

Talino ni paps

 

[Roby Robyn]

Eto rin

cot udu= (cos u / sin u ) du

Let u=sin u
So du= cos u du
Sub mo na lang yung du=cos u, tapos u =sin u

(cos u / sin u) du= u / du

Integral nito
=ln |u| + C

Balik mo lang
cot udu= ln |sin u| + C

 

[Roby Robyn]

Talino ni paps

Haha di naman napag aralan lang

 

[DoNotDisturb]

spaghetti

 

[vincetheprince]

dami magali magaling wow limot ko na this