WEBVTT
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with. Now knowing what your graph is, the
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best I can do is give you an idea of
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how to solve this. You need to remember that
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integration is just Area. So if I'm asked to
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find the interval from 0-2 on my graph market off
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and look at what it is. In this case
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it's a triangle. Remember the area of the triangle
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is base times height divided by two. So the
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bases to the height is too and two times two
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divided by two or one half the base times height
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is to. So this area here is two units
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. Then the next thing you're asked Is the integral
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from 0 to 5. So now I'm gonna come
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over to five now I already know it's too so
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I've already got that part done too. And now
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I look and see, okay well this is a
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rectangle in the area of a rectangle is base so
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it's 123 units times the height. It's also two
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units long, so two plus six. So this
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would be six And so the area from 0 to
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5 is eight. And then you're asked to find
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The interval from 5 to 7. So looking at
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my graph, make them a little dash here.
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I see I have a trapezoid and a trapezoid.
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I need to Add the parent length of the parallel
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size together. So this goes up to white four
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. So this sites four. So I'm going to
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add the parallel sides together. Multiply that by This
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width here which is two units and then take a
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half, So 1/2 times six times 2. So
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this particular in the role, This part of it
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would be six units long. So from 5 to
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7 it would be six. And then finally you're
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asked to find the area From zero all the way
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tonight. So I already know I have two plus
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six plus another six. Sorry you have 14 units
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. Now I look at this last little portion and
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see it's also a triangle basis to height is for
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so base times height, 1/2 base times site is
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going to give me four. It's going to add
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another four. So the total area would be 18
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units. So you need to break your picture up
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into geometric figures. Um if it's a circle you'll
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use pi r squared. But if it's a triangle
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or rectangle or a trapezoid, you can use your
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geometry formulas.