## anonymous one year ago Iterated Integral Question:

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1. anonymous

|dw:1443492683994:dw|

2. anonymous

|dw:1443492857641:dw|

3. anonymous

Did I set this up right?

4. anonymous

So far so good

5. Loser66

|dw:1443493829991:dw|

6. Loser66

Since the limits is from 1-x to 1+x, I guess, the first integration should respect to y, not to x.

7. Loser66

They are different!! Please, check.

8. anonymous

I am sorry! It is dydx

9. anonymous

So I started distributing across and ended up with 7(x^3+3x^2+3x+1) +14xy +14

10. anonymous

Am I on the right track?

11. IrishBoy123

thusfar you should have $\large \int\limits_{x=0}^{1} \; \; \int\limits_{y=1-x}^{1+x} 21x^2 + 14y\; dy \; dx$ $\large =\int_{0}^{1} \left[ 21x^2y + 7y^2 \right]_{1-x}^{1+x} \; dx$ $\large =7 \int_{0}^{1} \left[ \left(3x^2(1+x) + (1+x)^2 \right) - \left(3x^2(1-x) + (1-x)^2 \right)\right] \; dx$ $$= \; \; ...$$ you still have y's in there so something has gone wrong.