basic Integration
posted by Anonymous .
I have three questions which I apparently have 'wrong' according to the book, but I've done lots of other questions which I've gotten right using the same method and I have triple checked these answers for these three questions so I was wondering if someone could tell me if I actually do have these answers wrong or if its the book?
Find the areas enclosed by the xaxis and these curves and straight lines
a) y= (1/8)x^3 + 2x, x=2, x=4
for this I got 132 sq units, but the book says 19.5
b) y=6(1/(sqrt x)), x=16, x=25
for this I got 53 sq units and in the book it says 52
c) y= (3x4)^2, x=1, x=3
for this I got 13 sq units but the book says its 14 sq units
Thanks in advance!

a) The integral of the function from 2 to 4 is the difference in values of
x^4/32 + x^2 at the two points. That would be 8 + 16  0.5  4 = 19.5
b) The indefinite integral is
6x  2 x^1/2
The difference in that function at the two limits is
150  10  96 + 8 = 52
I suggest you check your math again, or the way you are doing the integration.
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