📢 This is a list of videos of integration by substitution, commonly called “u-substitution”. This is the technique that we use to “reverse the chain rule”.
| No. | Problem | 📽️ Video Link |
|---|---|---|
| 01 | \(\displaystyle \int x^2\sqrt{x^3 + 5} \, dx\) | https://youtu.be/If0VxcJcAek |
| 02 | \(\displaystyle \int \sin^{3}x\cos x \, dx\) | https://youtu.be/n4FNIm2aU9c |
| 03 | \(\displaystyle \int \tan x \, dx\) | https://youtu.be/w8AtzOhfl08 |
| 04 | \(\displaystyle \int \frac{\sec^2\left(\sqrt{x}\,\right)}{\sqrt{x}} \, dx\) | https://youtu.be/BS6mSQ-Jqi4 |
| 05 | \(\displaystyle \int \frac{dx}{x\ln x}\) | https://youtu.be/z3sqkWTcc5Y |
| 06 | \(\displaystyle \int \frac{9}{4x^2 + 9} \, dx\) | https://youtu.be/SarWczZxGB8 |
| 07 | \(\displaystyle \int x^3 \sqrt{x^2 + 7} \, dx\) | https://youtu.be/tgZ0sZ0ANHk |
| 08 | \(\displaystyle \int \frac{1}{x^3} \sqrt[5]{4 - \frac{1}{x^2}} \, dx\) | https://youtu.be/EzaxaAjTobk |
| 09 | \(\displaystyle \int \frac{4x^2 + 19x + 14}{(x + 2)^5} \, dx\) | https://youtu.be/twVn0xBs2CQ |