The Student Room Group

Integration Q

Find the area between the curves y=(x-4)(3x-1) and y=(4-x)(1+x)

I worked out the points of intersection for the two curves to be (0,4) and (4,0)

I then subtracted one function from the other and integrated to get -4/3x^3-5x^2

I worked out the area using the points of intersection above, 0 and 4. Is this method correct? Or should I approach this a different way?

Thanks
Right method. Check your subtraction.
(edited 12 years ago)
Reply 2
That is the correct method



Darn those extra 3 words slowed me down :frown:
Reply 3
What do you mean by subtracted one function from the other? I would integrate both for the given range and find the difference for the answer.
Original post by bmqib
What do you mean by subtracted one function from the other? I would integrate both for the given range and find the difference for the answer.


It is a slightly more efficient way to do the same thing.
Reply 5
Original post by Mr M
Right method. Check your subtraction.


Thank you, I'm there now

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