- #1

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## Homework Statement

[itex]\int^{0}_{pi}(sin^{2}t)*(cos^{4}t)[/itex]

## Homework Equations

## The Attempt at a Solution

I know you have to use trig identities.. but everything I try does not work.

- Thread starter skyturnred
- Start date

- #1

- 118

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[itex]\int^{0}_{pi}(sin^{2}t)*(cos^{4}t)[/itex]

I know you have to use trig identities.. but everything I try does not work.

- #2

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The limits of the integral should be reversed.

- #3

Dick

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You can do it with double angle identities. But you haven't shown anything you've tried yet. What did it occur to you to try?## Homework Statement

[itex]\int^{0}_{pi}(sin^{2}t)*(cos^{4}t)[/itex]

## Homework Equations

## The Attempt at a Solution

I know you have to use trig identities.. but everything I try does not work.

- #4

SammyS

Staff Emeritus

Science Advisor

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[itex]2\sin(\theta)\cos(\theta)=\sin(2\theta)[/itex]## Homework Statement

[itex]\displaystyle \int_{0}^{\pi}(\sin^{2}t)*(\cos^{4}t)[/itex]dt

## Homework Equations

## The Attempt at a Solution

I know you have to use trig identities.. but everything I try does not work.

So, sin

[itex]2\cos^2(\theta)-1=\cos(2\theta)[/itex]

So, cos

- #5

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cos^2(t)=1-sin^2(t), then you use the double cos identity until you reduce it down to combination of cos(2t)'s,

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