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Integrals and Areas Between Curves: Examples Part 4 by mes

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hive-128780 · @mes · (edited)
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Integrals and Areas Between Curves: Examples Part 4
https://youtu.be/tgNsbPvTJMU

In this video I go over an example on finding the area between trigonometry curves that involves solving the area using absolute values during integration.

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Watch Video On:

- DTube: [https://d.tube/#!/v/mes/QmaddCtbbjgggvH7TrJxeD56PurTQTNTjwkB4tHjuN9Nut](https://d.tube/#!/v/mes/QmaddCtbbjgggvH7TrJxeD56PurTQTNTjwkB4tHjuN9Nut)
- BitChute: [https://www.bitchute.com/video/LqphdSG8wFqD/](https://www.bitchute.com/video/LqphdSG8wFqD/)
- YouTube: [https://youtu.be/tgNsbPvTJMU](https://youtu.be/tgNsbPvTJMU)

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# Integrals and Areas Between Curves: Examples Part 4

![Integrals and Areas Between Curves Examples 4.jpeg](https://cdn.steemitimages.com/DQmSPQQkz9Z7ZwkPSGjx2nYHJztmPWjnGYhZiczwzWzMEEP/Integrals%20and%20Areas%20Between%20Curves%20Examples%204.jpeg)

**Example:**

Find the area of the region bounded by the curves y = sin(x), y = cos(x), x = 0, and x = π/2.

**Solution:**

![image.png](https://cdn.steemitimages.com/DQmecSqkCS6qBGD8yoZH2QfXksudAXfWxPJuCzE1f3pW3tM/image.png)

![image.png](https://cdn.steemitimages.com/DQmWaYBid1tbkLYCrG2pdyLVLfwXNNXSvQJ1BkqbadsPFjH/image.png)

We could've saved time and used symmetry to simplify the area:

![image.png](https://cdn.steemitimages.com/DQmXkctfZWs6xMUPFUpxcfP2Fef6ieG5gApWifm1CoJP7kQ/image.png)
👍  , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , and 201 others
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