find the area of the shaded region
My work:
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this is my final answer but I am wrong. Can someone suggest where I went wrong? Thanks!
That's exactly what he says he got!
Steelers72, did you notice that your answer is negative? "Area" cannot be negative. Your error is that you have subtracted $\displaystyle e^y$ from $\displaystyle y^2- 3$ when, because, for every y, $\displaystyle e^y$ is larger than $\displaystyle y^2- 3$, you should be integrating $\displaystyle \int_{-1}^1 e^y- (y^2- 3) dy$.