marnie12345
find the exact area of the region enclosed by the graph of y=32x^2, the lines x=1 and x=1, and the x axis



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math>philosophy
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use integration

marnie12345
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\[\int\limits_{}^{}32x ^{2} = 3x2/3x ^{3}\]

marnie12345
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But then what do i do? Do i input x=1 x=1?

Chlorophyll
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Do you know fundamental theorem:
F(b)  F(a)
= F(1)  F (1)

cinar
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dw:1353720420678:dw

cinar
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dw:1353720574169:dw

marnie12345
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Ok yes....so....
\[[3(1)\left(\begin{matrix}2 \\ 3\end{matrix}\right)(1)^{3}]  [3(1)\frac{ 2 }{ 3 }(1)^{3}\]
=14/3

cinar
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dw:1353720631909:dw

marnie12345
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Would I add the + C in my answer?

cinar
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no

marnie12345
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ok thank you!