area of region

[lilac pasture]

#6
How would I set up the integral if I was finding the area using dy?

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[marble wolf]

Then limits should be of y

And function x = f(y)

And before finding the integral , draw a rough graph of the curve

[lilac pasture]

So limits are 0 to 2 , and in integral it’s (y^2 + 1)-(y+3) dy?

[marble wolf]

Wait lemme solve it

This is the region we have to found

[marble wolf]

So it is wrong

[lilac pasture]

I don’t think I’ve learned this before

[lilac pasture]

I don’t think my answer is right

[marble wolf]

You need to solve this thing

I have taken modulus so that area don't become negative

Cuz region was also below x asix

[lilac pasture]

Okay I got 4.5

Did I do the first part wrong then? Where I got 5.333

[marble wolf]

First part?

[lilac pasture]

Where I solved using dx

[marble wolf]

Yah that is wrong

[lilac pasture]

What did I do wrong ?

[marble wolf]

Everything

Line should be subtracted but from 3 to 5

Not 1 to 5

And there is also some area below x axis

[lilac pasture]

One of the limits is a 3?

[marble wolf]

Ya