AQA Core 3 7.03d Integration by Substitution: A Tricky Example

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Hope this actully comes up as I feel so much confident after this
Plus it may lower the grade boundaries

zhenxie
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Hope to god this doesn't come up on my paper in 11 days O_O

MrJamesfinlay
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Is there a rule or guidance for which function to pick as the substitution for example in by parts there is "LATE"

husseinjusab
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At the start the limits were obviously 2 and root 2, with 2 being the upper limit but then they crossed over and pi over 6 became the upper limit. I always thought that the upper limit would be the biggest value. Also I had no idea that you could switch the limits to change the sign of the integral

edwarda.
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Wow, amazing video! I don't understand what's going on with those triangles though? I can never remember that being covered in my core 3 lessons?

jgreen
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As you end up with a trig function in the end here could you have used degrees instead of radians as the limits?

jeminemster
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Hi if you have the heinemann textbook for pure core 3/4 aqa maths could you take a look at pg 147 worked example 8.16 why when differentiating sin why do they not make it 1/cos * ds= dx why do they leave it as ds=cosx dx please explain many thanks

minesh
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Why did u use radians??for changing limits

darkmoon
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You forget the minus at 10:40 which makes the integral=cos@ not -cos@

nightquake
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at the end of the video you have put the derivative of sin as -cos. Isn't the derivative of sin = cos not -cos?

benjaminwills
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Could you please solve the integral using another method?

marihahz