helo (1 Viewer)

[Mellonie]

find primitive of x^2 + 12 / x^2 + 9

 

[FinalFantasy]

find primitive of x^2 + 12 / x^2 + 9

integrate (x²+12)\(x²+9) dx=int. (x²+9)\(x²+9) dx+int. 3\(x²+9) dx
=x+tan^-1 x\3+C

 

[Trev]

x² + 12x^-2 + 9
Primitive:
x³/3 - 12x^-1 + 9x + C

 

[Trev]

integrate (x²+12)\(x²+9) dx=int. (x²+9)\(x²+9) dx+int. 3\(x²+9) dx
=x+tan^-1 x\3+C

Is that what the question is?
If so, next time, please type the question with bracket's and whatnot so it is not misunderstood.

 

[FinalFantasy]

hehe o well, there's both solutions whichever it is

 

[velox]

Hint: your not supposed to use partial fractions in 3u, unless the question specifically says prove this......and hence evaluate the integral of.... .

 

[FinalFantasy]

i didn't use partial fractions, it's simply a maths technique of fractions learnt in year 6 or something...
(a+b)\c=a\c+b\c as long as c is not 0