Integration : Parametric type (Area under a graph) : ExamSolutions

How to find the area bounded by a parametric equation and the x-axis by integration.

[Ranmarupinkhaired]

When Edexcel forgets to put parametric integrations in the book and expects us to understand it

[Ivan-mpff]

Hearing his voice is always reassuring of thorough understanding.

[nonamecantfind]

your videos are amazing please keep making they will help me achieve a high grade in my math A level.

[anooprao]

Thanks for these videos! I just have a couple of questions:
1) At 3:38, why is t=pi/2 and not also 3pi/2? and same question for the other limit, why isn't that 2pi? would we be given ranges for t in the real question?
2) At 5:04, what do you do if you got a negative y value e.g. -1, when you put in an intermediate t value?
Thanks again!

[imdaark]

Man i said this over and over again I love you

[foodparadise]

Thanks, I went through few videos and this is the first one I actually started to understand the topic.

[Xeno]

In the last step before you integrated sin^2TcosT, where did the cosT go?

[DanAllenFilms]

Thank you so much for these.
Are you ever going to look at OCR Papers? x
Dan

[ExamSolutions_Maths]

As far as I can see it is not on the AQA specification for C4

[btsniki]

Is this in the A level maths specification? I can't find this in the textbooks or the CGP guides.

[everydaybiblevideos]

Hi there, awesome video! If we plugged in a value for t and it gave us that y=-1, what would we then do differently? How would it change our method or answer?
Thanks

[Dom]

Many thanks for your amazing videos, they are a massive help.

In this video when testing which way we go round the curve, if it was the opposite direction we want to go ie when y= -1, how would we change the direction?

[shweetii]

THANK YOU SO MUCH! You are such an amazing teacher.

[satyamev_jayatey_]

How we will make the graph like a loop when we have given the function of that?

[killer]

what if you dont recognise that sin^2tcost is the differential of sin^3t? is there any other way to integrate it?

[CandiceLydia]

why don't you integrate sin2t instead of changing it to 2sintcost? Or can you not integrate sin2t?

[ronycb]

Can anyone tell me what the name of this curve is and how it is traced?

[shatzE]

How did you know it was sin^3t to start with?

Also is it not possible to integrate sin^2tcost by parts? That was the method that i had initially thought of lol

[Toyahan]

6:12 what are we supposed to do if y=-ve number instead?

[georgehenna]

Can you switch the upper and lower limit and put a negative sign in front of the integral?
Thanks!