- #1

PrudensOptimus

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And that

you basically solve

integral of cosx*(1-sin^2x) dx. to get it.

but,...

what I don't get is how do you solve cosx*(1-sin^x) dx... is there a trick that I didn't get from the parts formula?

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- Thread starter PrudensOptimus
- Start date

- #1

PrudensOptimus

- 641

- 0

And that

you basically solve

integral of cosx*(1-sin^2x) dx. to get it.

but,...

what I don't get is how do you solve cosx*(1-sin^x) dx... is there a trick that I didn't get from the parts formula?

- #2

Hurkyl

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Distribute the multiplication and see if that gives you any hints.

- #3

HallsofIvy

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Hurkyl, I don't see any reason to "distribute" (multiply out) anything. There is an obvious substitution for ∫(1- sin

- #4

Hurkyl

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Good point.

- #5

PrudensOptimus

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I have never learned integration by parts. Please help me.

- #6

Hurkyl

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But, I presume, you know substitution?

- #7

PrudensOptimus

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Nope, any products in Integrals other than those constants are new to me.

- #8

Hurkyl

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E.G. would you know how to integrate ∫ sin(πx) dx

- #9

PrudensOptimus

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i know the answer,

but I don't know the part when they did the dx = dv(ax) part... that confuzed me.

but I don't know the part when they did the dx = dv(ax) part... that confuzed me.

- #10

ShawnD

Science Advisor

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Ok well here's how I worked it out

http://myfiles.dyndns.org/pictures/integrate1.jpg

I put a few steps together but you can still see what happened sort of.

http://myfiles.dyndns.org/pictures/integrate1.jpg

I put a few steps together but you can still see what happened sort of.

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