Can someone help me with this review question? Find the total area of the region between the x-axis and the graph of y= -x -3x, -6

Question

Can someone help me with this review question? Find the total area of the region between the x-axis and the graph of y= -x -3x, -6 <= x <= 1

amistre64 · Answer

dbl chk the y equation ...

amistre64 · Answer

the area between 2 curves is the integration of their difference

amistre64 · Answer

with the condition that you might want to check to see that they dont double over each other in the middle of the interval

anonymous · Answer

youre right i wrote it wrong sorry its -x^2 -3x,

anonymous · Answer

but still totally lost on it

amistre64 · Answer

$$\int_{-6}^{1}-x^2-3x~dx$$

anonymous · Answer

can you help me evaluate that?

amistre64 · Answer

now the question is ... and ive never been able to get a good answer for this .. is are we spose to take the absolute value by splitting the interval,  or is it a straight run?

anonymous · Answer

All i have is the final answer and honestly I don't know. I was totally lost on this question. The answer they provide is 173/6

amistre64 · Answer

hmm, well then a straught run would give us -119/6,  so that supposes they would want to divvy up the interval

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