Integration by Parts : ExamSolutions

[Whiskey0015]

snape teaches algebra 2 now? great video man

[1992crimsonnoble]

If only i had this last year XD lol, good thing i learned the easy way and now im making videos of it too lol

[NakatoKancha]

and i'm a bit confused how you've got -1/2cos2x by integrating sin2x, when i looked at the basic integration rules it says whenever you integrate sinu du you'll get -cosu + c

Could you please explain this to me

[ExamSolutions]

@NakatoKancha Look at my tutorials on integrating trig. functions

[NakatoKancha]

Hello, thanks for all of your videos.. I must say I learn a lot more by watching your videos than what I actually learn from my uni lectures. Thank you

[eelgg]

Thank you nice foreign accent guy, <3

[oggiemc83]

Great tutorials thanks!! At 3:52, how come u dont add the constant of integration C??? Thanks again!

[ExamSolutions]

@oggiemc83 It's general practice to leave it till the last integral is done.

[mgunar]

well done lad. 

[iloveit5o]

this really helped thanx alot for putting it on utube

[Isubewl]

This was so helpful, thanks very much!

[ExamSolutions]

@Isubewl Pleasure

[SMACKDOWN2K8]

Never mind I fucked up lol

[SMACKDOWN2K8]

I think there is a mistake in this vid because u have the integral of v substituted not v itself

[ExamSolutions]

@SMACKDOWN2K8 ?

[omi1434u]

very helpful

[tomyo669]

haaf

[ExamSolutions]

@dhiralv That's ok, thanks

[Roderickfrass]

∫ xn eax dx = 1/a xn eax -n/a ∫ xn-1 eax dx can you please work that math using integration by parts. it should be x raises to n, e raises to ax, etc. and the last part is where x raises to n-1

[ExamSolutions]

@Roderickfrass This kind of problem is usually done by creating a reduction formula. This is further maths but I haven't a tutorial on this as yet. 

[Calculus117]

the integrand is the expression to be integrated.

[hendsem]

FUCK MATHS ! PRACTICE IS A WASTE OF TIME here's the REAL PHILOSOPHY to score during exams :

"YOU STUDY HIGH , TAKE THE TEST HIGH , GET HIGH SCORES!"

puff puff pass , professor :)

[Calculus117]

i have a question, when you are about the integrate a function is that function called a integrand? because you made that mistake in the video.

[ExamSolutions]

@Calculus117 The answer to the integral is called an integrand. Where was the mistake?

[Calculus117]

i have a question, when you are about the integrate a function is that function called a integrand??

[xXSabzzXx]

the vid helped by the way lol, thanks

[xXSabzzXx]

british education system is harder, we have more competition for places, especially for like medicine, dentistry and vetenary science, theres around 2400 applicants and 340 spaces in the university in the city that i'm in.

[j1mb4rt0n]

two people must of accidently clicked dislike

[MrOnlineGod]

Thank you so much man! I've got C3 Exam in a week and I was struggling on Integration by substitution and this video helped me alot!

Cheers (:

[ExamSolutions]

@MrOnlineGod Cheers

[londongirlhannah]

Mate you are a life saver!

[clairefontaine23]

u guys do that at college? lol i understant why the french system is harder and much more competitive. All this is learned at high school..

[JeanLuisA]

@clairefontaine23 yea so competitive they forgot how to teach you how to spell understand

[xXSabzzXx]

@clairefontaine23 your high school system is different, at age 16-18 you guys study baccalauréat, we call this A-level, its equivelnt to each other, but you stay in high school til your 18 except we leave at age 16, go to college 16-18 (for A-levels), then university, for like 4 years and then a phD for like another 4-6 years (i think this is the highest it goes)

It's basically the same thing, we're taught similar stuff at same ages. but nowerdays we don't get to retake years like in france.

[jcarey08]

You're the best! Thanks.

[ExamSolutions]

I try - thanks

[odinheim]

I would like to to A-levels in the Uk, I wonder if it is too expensive ?

[Snow4ukids]

hello dude... how to use integration by parts to find area under curve and volume??? could u post a video on it... would be very grateful to you.... plzzzzzzzzzz help?????

[the1trueseed]

@Snow4ukids ifyou look for one of the questions from edexcel website that you are on about then look up the solution on here youll learn how to do it.

[dimitrix3333]

A great tutorial video. Thanks a lot!

[ExamSolutions]

Thanks - pleased I could throw some light on it for you.

[younib100]

hi, i ve been studying c4 through ur vid tutorials and dey have been really great !!

I needed to ask u have u posted any video tutorial were differentiation principles are applied to relate one rate of change to another. ??

[4RIPO]

Who needs college when there's YouTube!

[the1trueseed]

@4RIPO better than my useless teacher!

[IanSteel123]

Hey great video helped me alot.

Do you know where I could get AQA past papers for C3 website doesn't seem to have them.

Thanks

[namal120]

how to knw wethr i must use intergation by parts, subtitutions Etc.... plz help me out

[Escobar2k6]

Integration by parts isnt in the C3 OCR syllabus, maybe confused with differentiating using the product rule?

Great video nonetheless!

[GamefreakTP]

sorry is this in c2 or c3??

[ExamSolutions]

C3 for OCR

C4 for Edexcel

[GamefreakTP]

thnx, thats good i was worried for a bit!

[AnkaraNightsear]

The only part worth learning from Calculus 2.

[charlesfrhutchinson]

again, thanks for this! i wish i'd found your videos more than 36hours before the exam!

[toasterder]

you differentiate -1/2 cos 2x, let -1/2 be constant a, cos 2x = u, 2x = v, d /dx (a u v) = a x du/dv x dv/dx = -1/2 x -sin 2x x 2 = sin 2x, tada!

AHEMZ... mistake, its d/dx (a (u(v)) there, integration is the opposite of differentiation, you use differentiation to find the rate of change of the equation wrt x, you use integration to find the (area) under the graph... aka, the difference made by the equation wrt x

[murdoksc2]

this video help me a lot plz keep uploding videos with more integrations

[ExamSolutions]

Will do. Check our website ExamSolutions from time to time

[xxlucyappxx]

lol.. i partly got that thanx so much for making vids like this i need all the help i can get im doin AS maths earlier than everybody else nd im finding it hard but thanx for vids like this lmfao closest thing i can get to describing this in term i would understand

[TinTin7777777]

How the hell the he got -1/2cox 2x after integrating sin 2x dx?

[ExamSolutions]

This is the inverse of the chain rule and is a result that you should learn.

The integral of sin(mx) where m is a contant is always -1/m cos(mx)

Similarly the integral of cos(mx) is

1/m sin(mx)

Hope that helps

[YousefAB]

Sorry one more thing, is there more parts? or thats it? because it says "part 1" at the start.

[YousefAB]

thanks man, saved me about 30 minuts of lecture time :)

[drakasx]

shouldn't the 'c' be divided by two?

[ExamSolutions]

No, as the constant was never placed inside the bracket at the end. If it were I would want to call it 4C or A where A = 4C. Best to leave C outside though.

[drakasx]

So the 1/2 was taken out just "temporarily" or however you could describe it? :)

A very quick reply, thanks!

Thanks fr the great video, I learned something new today :D

[skyassasin16]

what is the derivative of sin 2x??????

[ExamSolutions]

2cos2x

[knicknackssss]

you should be fast in integration ...LOL

[sakuranohana89]

2cos2x

[chippy89]

THANK YOU SO MUCCCCCCCHHHHHHH!!!!

[bernardrb36]

Excellent. However, I do not understand how the teacher converted x/2 to 2x in his final solution.

He said that x/2 is 1/2 therefore essentially two quarters and placed 2x in front of the final equation. Why?

[lemastre]

He puts 1/4 in front of the brackets to remove the 1/4 in front of the sin(2x), but there is only 1/2 in front of cos(2x). So basically he "took away" 1/4 where there is 1/2.

2 * 1/4 = 1/2

[DongleDavid]

Good video!

[KenY2Ken]

Dude your videos are really helpful!

[fabmary88]

Wow, thanks that has come in really handy.

Do you think you could make the hand writing a bit bigger?

[ExamSolutions]

The original is easy to read but YouTube reduced the quality and size of the video. Not a lot I can do about that at the moment. Sorry.

[adolfito34]

how did u integrate sin2x and cos2x???????

[adolfito34]

all right i got it

[mathproblems]

Excellent

Could you write this little big hand writing?

What software are you using? If you dont mind telling me that would help me. Thanks

[Calculus117]

when you have a function to integrate that function is called the integrand, you made that mistake in the video.