Integral Calculus - Integrals of Trigonometric Functions

[@jirehmecua5521]

Naiiyak nako kasi i got 50/120 sa midterm exam this short term.. Thank you sir 💛 finally naintindihan ko na.. MAKAKABAWI NA SA FINALS 💛💛💛

[@renalynf.jurilla6705]

Thank you so much, Sir! I've learned a lot!

[@abatandchill]

You're welcome!

[@trixsieamper9729]

Pogi ni sir, Thank you! More pa po. hihi

[@queridoclannermayallysonv.6266]

Thank you so much Sir! I've learned a lot

[@andreaalexisdalindin15]

Sobrang nakatulong po sa subjecrmt ko na Cal II

[@abatandchill]

Glad to hear ❤

[@richardsaromines3281]

Thanks idol♥️. Hope inverse trig nman next vid

[@abatandchill]

Sure

[@marcgiltolentino1898]

SIR NAPAKALUPET MO MARAMING SALAMAT

[@joyced.perales3423]

THANKYOU SIR!

[@carpediem6323]

Thank you so much po! New subscriber here

[@christianjaygomez6115]

question lang po sir sa number 10 paano po nalagyan ng negative 1 after ng sin(1-x)

[@marielmacapaz2389]

dinerive ang (1-x) which is ang 1(constant) is 0 and the -1 from -x, so 0-1=-1

[@zepaniahpotutan5606]

Thank you, Sir.

[@JohnlhoydSepocado-u6q]

sir sa number 13 hindi po ha i mumultiply nang 1/4?

[@jerichodelacruzpameron7157]

hi sir good day. sir im just asking sir if ,can we still distribute dx sir even if there's no x in the constant?

[@abatandchill]

Yes, you can

[@InhinyerongMekanikal]

sir hindi po ba gagamitan ng power formula yung u? 31:28 hindi po ba siya magiging u^2/2?

[@InhinyerongMekanikal]

salamat po sir, marami po akong natututunan sa channel niyo :)

[@acelserafica8414]

pano po malalaman na kylngang kunin yung u at du at du with respect to dw

[@abatandchill]

You will only use "u" if the integral is solvable by "u-substitution" technique

[@marielmacapaz2389]

I'm a fan sir. Ask lang po about sa problem 11, wala po bang (-) sign sa du sir? diba po ang derivative ng sin x dx is equal to -cos x dx?

[@raskrreia]

derivative po ng sin(x) is cos(x), integral po ng sin(x) is -cos(x)

[@kyot7758]

Thank you po Sir

[@crystalize4656]

Yung Integral of sec x dx = In | sec x + tan x | + c diba dapat sec² x dx?

[@abatandchill]

Integral of sec x dx = sec x dx = In | sec x + tan x | + c is correct. Integral of sec² x dx = tan x + C, because the derivative of tan x is sec² x

[@dumpelo]

Sir ang galing! Pano yon??

[@anacletojohndave9817]

Galing

[@domstaruc-hw3gi]

yung number 10 po hindi puba negative yung final answer

[@eisend7758]

yes negative dapat siya nakalimutan ata ni sir idistribute yung negative sa labas ng integral

[@emoreJ1209]

napakahusay nyo po

[@russelcruz491]

sir, yung (3 - tan(4t)) po sa no.12 (@29:40) hindi po ba immultiply yung -1/16 sa (3 - tan(4t)?

[@abatandchill]

We can write it also as -(3-tan 4t)/16. That's the same with what I've written as the final answer

[@russelcruz491]

thank you po sir, may exponent po pala😅

[@ali-anafhiamohammad9244]

Absolute value po sir yung |n| right?

[@abatandchill]

Yes po.

[@edgardoconcepcion8308]

sir, ung sagot s number 13 ay may negative. correct f i am wrong

[@lynchfaithcustodio7887]

mas may natutunan pa ako sayo kesa sa teacher ko

[@silveriojohncarloc6894]

sir hindi po ba magiging -3cos(3z) yung sa number 11 problem sir sa derivative ng sin(3z) e ung trigonomertic identity ng sinx = -cosx?

[@lacipul9691]

tama po si sir, i think nalilito ka po kasi yung tinutukoy mong sinx = -cosx is an integral formula, and kapag differentiation naman ay sinx = POSITIVE cosx po, so hence tama si sir