WEBVTT
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We're doing the inner roll from 1-4 of this function
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. Uh Four plus six. You all over the
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square root of you? Um I'll talk about what
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I'm gonna do next. So it be in our
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best interest if we rewrote this because we're dividing by
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a mono mule if we divide each piece. Uh
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And it makes sense to write it as to the
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negative one half power uh negative because it's in the
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denominator and then the one half for the square root
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. Uh And then plus then divide this piece.
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Um And then here if you think of this as
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you do the first over you to the one half
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, you subtract the exponents. It's to the positive
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one half power, do you? And now we
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can follow our rules that we have learned where we
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add one to the exponent for the anti derivative.
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And you multiply by the reciprocal. Um So there
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is typical for one half is two and four times
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two gives me eight. Uh The same thing with
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the one half plus one is three. Has multiply
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by the reciprocal. Uh Maybe six times two it
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was just 12 to 5 by three is four.
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And you can double check this is right by taking
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the anti derivative of that. So now what we
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have to do is plug in our upper bound,
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which what this means is the square root of four
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because we're plugging in for. So it's two and
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then this is the square root of four which is
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to cuba, which gives me eight. And then
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we have to subtract off. What's nice about plugging
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in? One is one to any powers just one
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. So we're looking at a plus for their.
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So as I'm doing this I'm seeing six Sorry,
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attempts to 16 Plus 32 which would give me 48
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uh minus 12 Or a final answer of 36.
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And you might need a calculator to verify that.
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But this is the correct answer. Mhm. Yeah
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.