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|dw:1384654878562:dw| this is graph of y = sin(pi x) and \[y=x ^{3}-4x\] say im trying to find the area of the shaded region, and i flip the graph around so it becomes like this, |dw:1384655029870:dw| i can just take the definite integral of the function \[y=x ^{3}-4x\] right? since the negative portion of the function y = sin(pi x) cancels out the blank semicircle above the x axis right?
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