Edexcel A level Maths: 11.7 Integrating Using Partial Fractions

Pearson A level Maths, Pure Year 2 Textbook (11.7)

In this video I explain how to integrate a fraction which has been represented as partial fractions.

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[scooben]

This video gained me a ton of marks on my paper 2 A level exam yesterday, thank you so much

[sosanmirafganahmad]

Awesome, thank you ♡
Also, I hope you had a wonderful day

[adzz.s]

Could you please do parametric integration since edexcel have recently just added it onto the spec

[sentheaS]

For the first question, you can also manipulate the expression instead of doing algebraic long division. If you expand the brackets in the denominator, you get 16x^2 - 1, you can multiply this by 2 to get 32x^2 - 2, then for the numerator change 32x^2 + 4 to 32x^2 - 2, multiply by 2 (as you divided the numerator by 2) to get 2(32x^2 -2), now in the numerator your constant term is -4, if you were to multiply the original numerator by 2 your constant term would be 8, so add 12 to the current numerator giving (2(32x^2 - 2) + 12)/(32x^2 - 2). This is easily rewritten as 2 + 12/(32x^2 - 2), which you can then split into partial fractions as normal. More quickly ‘done than said’ so worth looking out for stuff like this to save time I would think :)

[mohammadghani]

is there any idea for the integration of 1/(x^m(1-x^n)) for m>0, n>0?

[revisionnaire]

smashed it teacher sir bro i guess haha

[revisionnaire]

at the end using the log rule, how did u get 35/27, im getting 35/3. dont know how you got /27

[abdullahalghali]

If I got a penny for every time he said "fraction", Id be a millionaire

[TenGeniusStupid]

ur the GOAT FR FR 🔥🔥🔥🔥(IM MADLY IN LOVE WITH YOU BUT IM TOO SCARED TO SAY ANYTHING IN CASE IT RUINS OUR EXISTING FRIENDSHIP)