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Antiderivatives - Examples, Part 2 by mes

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· @mes · (edited)
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Antiderivatives - Examples, Part 2
https://youtu.be/mV1RyLjUOns

In this video, I continue further on Antiderivatives and go over some further examples which include initial value problems that involve solving for the constants of the general antiderivative function. I also graph out the function and its antiderivative to show how the function can be used as a check of the antiderivative by looking at the inflection points and whether the antiderivative is increasing, decreasing, or concaving up or down.

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# Antiderivatives: Examples Part 2

![image.png](https://files.peakd.com/file/peakd-hive/mes/23xf1BaRcivaLLvvtRFC8vzQPY7Jx27QBnLf5FuneU2gre7usemqfSHj5EKEuBzQ5gerZ.png)

## Table of Antiderivatives

![image.png](https://files.peakd.com/file/peakd-hive/mes/23sxpDajoZiVPvgvkUSSTY7nsmzfV7i6aeJUQ8qp9PUc3DdJSkSF9MpvPZD4Y77v6fxW4.png)

## Example 1

![image.png](https://files.peakd.com/file/peakd-hive/mes/23tHb6kpiAYHuQpR1pK96DgCcg5QjHi6T1xNCBiCzG4dLBwKCS5iFSMCxoyfM8X5z2jAy.png)

**Solution:**

![image.png](https://files.peakd.com/file/peakd-hive/mes/23t8CSPFCQM2hoXmXBvZrN5cFMQKEDShmorPHriLXkHPrJBPHiEr92LDqfcCJgaZ7P1MY.png)

![image.png](https://files.peakd.com/file/peakd-hive/mes/23tHbKgySNdwG2ecdwG6mw27xwhSrg1ApucKhMVbwKj4dS1jrDnzPK8rUNZVSH9ouXniQ.png)

## Example 2

![image.png](https://files.peakd.com/file/peakd-hive/mes/23sxon1fgCi3ByxC2zkfasG9pak3sxYiKXUggRfX1jYjohtm832CnuEE36SKhEnXmSnMu.png)

**Solution:**

![image.png](https://files.peakd.com/file/peakd-hive/mes/23u6YdYs138S7FZ8FotxD7DbCSygDPWsEiXyLnZUGPP3ueTx8cFhgwkcmVcX5U53jasMU.png)

![image.png](https://files.peakd.com/file/peakd-hive/mes/23t8DBnQFDCBW3ZyFpzp3j81baD1TJD2Wi4z8ZpuCasG6QBcrC3zkjgYFWbvQExHLSZnk.png)

## Example 3

![image.png](https://files.peakd.com/file/peakd-hive/mes/23tSym8QDtnhRAJj6v4W2aYBy34RYdhWpiTBHudeppubMeYCZcdsET4k3M6NigacwCdG9.png)

**Solution:**

![image.png](https://files.peakd.com/file/peakd-hive/mes/23sxpXQpjNqp3kgSJvmm8VNFnzpTiiJyfRURXUE6xhsS1ZG74CEMwMQng17AL2PQ2g9Ms.png)

![image.png](https://files.peakd.com/file/peakd-hive/mes/23tcNeS8U2nhu329L9un6uxPs4N5YeMVg1gsxRJTTnz9wttnRzeiUHXQF1hWaapzwhaPL.png)
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