Posted by Albert on Wednesday, May 14, 2008 at 9:17pm.
Always make a rough sketch of your problem, here you have a parabola opening upwards with centre at (0,5)
so the area
= integral [6x^2+5)dx from 0 to 5
= [2x^3 + 5x] from 0 to 5
= 2(125) + 25 - 0
= 275
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