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Integrals and Areas Between Curves: Examples Part 4

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Published: 23 Feb 2020 › Updated: 23 Feb 2020Integrals and Areas Between Curves: Examples Part 4

Integrals and Areas Between Curves: Examples Part 4

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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Integrals and Areas Between Curves: Examples Part 4

Integrals and Areas Between Curves Examples 4.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

image.png

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

image.png

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