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Do Now

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APPhysics

C: Mechanics

C3 & C4

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Agenda

1. Discuss Do Now

2. OBJ C3

3. Summary4. OBJ C4

5. Summary

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C3: Calculate the antiderivative (or integral) of a

polynomial or basic trig function.

What does the prefix anti- mean?

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C3: Calculate the antiderivative (or integral) of a

polynomial or basic trig function.

Anti- means before. So if you are finding the

antiderivative, you are finding what it looked like

before you found the derivative.

You are going BACKWARDS!

Instead of lowering the power, you raise it.

Instead of multiplying, you divide.

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C3: Calculate the antiderivative (or integral) of a

polynomial or basic trig function.

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C3: Calculate the antiderivative (or integral) of a

polynomial or basic trig function.

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C3: Calculate the antiderivative (or integral) of a

polynomial or basic trig function.

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C3: Calculate the antiderivative (or integral) of a

polynomial or basic trig function.

What about with trig functions?

If the derivative of sine is cosine, then the

antiderivative of cosine must be sine!If the derivative of cosine is negative sine, then

the antiderivative of sine must be negative

cosine.

Write this in mathematical notation

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C3: Calculate the antiderivative (or integral) of a

polynomial or basic trig function.

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C3: Calculate the antiderivative (or integral) of a

polynomial or basic trig function.

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C3: Calculate the antiderivative (or integral) of a

polynomial or basic trig function.

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C4: Determine the area under a curve using

integration.

A truck is travelling at 75 mi/h from 7pm to

9pm. How far did it travel?

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C4: Determine the area under a curve using

integration.

What about on a curve that isnt nice?

?

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C4: Determine the area under a curve using

integration.

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C4: Determine the area under a curve using

integration.

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C4: Determine the area under a curve using

integration.

Summary:

Area can be found with integration.

Integration is the only way of figuring outvariable functions.

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C3 & C4

Any questions?

HW: Problem Set C3-C4