



 
Rogerson, I graphed the function y = x^{2}  6x  5 for 2 ≤ x ≤ 4
I then erased everything but the curve and the xaxis for 0 ≤ x ≤ 4. As you can see there is no finite region bounded by these two curves. Are you sure you have the question worded correctly? Harley Rogerson wrote back
I think the question should say
I solved y = x^{2} + 6x  5 and y = 0 to find that the curve intersects the xaxis at 1 nd 5. T then redrew my first diagram and shaded the region between the curve and the xaxis for 0 ≤ x ≤ 4 Part of the region is above the xaxis and part is below the xaxis. For the part above the xaxis, the part with 1 ≤ x ≤ 4, the area is A similar integral from 0 to 1 will give a negative value since in that range the curve is below the xaxis. Hence you need to change the sign of the integral to obtain the area above the curve and below the xaxis. Thus the area, S, between the curve y = x^{2} + 6x  5 and the xaxis in the interval 0≤x≤4 is Evaluate this and try the second problem you sent. If you need further help write back. Harley  


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