I've got not idea what to do? Do i use intergration?
Find the area between the curves
y =3x^2 + 1 and y = 2x + 2 :
Include a sketch of the curves and the enclosed area.

Question

I've got not idea what to do? Do i use intergration?
Find the area between the curves
y =3x^2 + 1 and y = 2x + 2 :
Include a sketch of the curves and the enclosed area.

amistre64 · Answer

yes, you use integration

amistre64 · Answer

let f=3x^2+1; let g=2x+2

integrate the difference (f-g) between the interval there they intersect.

you can ignore the sign if you get a negative result.

mandre · Answer

Interesting. Someone else asked the same question: http://openstudy.com/study#/updates/5243ab3ae4b0a03c277fea16

amistre64 · Answer

... i noticed you stated the top/bottom like the textbooks do.

I find that step to be morally redundant :)  the area between the curves is an absolute value such that the order in which you do the subtraction is moot.

$$|5-3|=|3-5|$$

mandre · Answer

I only started calculus this semester so I have a lot to learn.

amistre64 · Answer

oh, you did fine on it :)

amistre64 · Answer

i just find that step to be extra work that is not that necessary; helps shave time off when taking exams

mandre · Answer

Thanks :). I'm still a bit nervous working with negatives around area but I have a month before my exam to iron that out.