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okay so we can multiply we can different
I can add two and multiply by constant
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I can add two and multiply by constant
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I can add two and multiply by constant
things like that how about integrating
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things like that how about integrating
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things like that how about integrating
that's what half this course was about
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that's what half this course was about
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that's what half this course was about
isn't it so let's integrate something
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so the integration I'm going to do is
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so the integration I'm going to do is
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so the integration I'm going to do is
this one
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the integral from 0 to X of DT over 1
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the integral from 0 to X of DT over 1
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the integral from 0 to X of DT over 1
plus X what is that integral as a
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plus X what is that integral as a
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plus X what is that integral as a
function
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so when I find the antiderivative of
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so when I find the antiderivative of
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so when I find the antiderivative of
this I get the natural log of 1 plus T
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this I get the natural log of 1 plus T
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this I get the natural log of 1 plus T
and then when I evaluate that at x
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and then when I evaluate that at x
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and then when I evaluate that at x
equals 0 at x at t equals x I get the
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