Integration by Parts

📢 This is a list of videos of integration by parts. I had made videos on doing integration by parts using both the tabular method (row integration by parts) and traditional method. This is the technique that we use the “reverse the product rule”.

No. Problem 📽️ Video Link
01 \(\displaystyle \int xe^{-2x} \, dx\) https://youtu.be/HMBU6uBfXZE
02 \(\displaystyle \int x^2\cos(3x) \, dx\) https://youtu.be/OJpUSZA_0MY
03 \(\displaystyle \int \frac{\ln x}{\sqrt{x} \,} \, dx\) https://youtu.be/huc_XLlLXhM
04 \(\displaystyle \int (3x^2 - 8x + 2)e^{-5x} \, dx\) https://youtu.be/8wQ04X7LFBM
05 \(\displaystyle \int \ln x \, dx\) https://youtu.be/K71HkJfA1IA
06 \(\displaystyle \int \left(\ln x\right)^2 dx\) https://youtu.be/hL9YpQjXEOE
07 \(\displaystyle \int e^{-2x}\sin(3x) \, dx\) https://youtu.be/IFzq_Ktk1oQ
08 \(\displaystyle \int \sin^{-1}x \, dx\) https://youtu.be/oEnNbmFsbAA
09 \(\displaystyle \int \tan^{-1}x \, dx\) https://youtu.be/j0609De4fZo
10 \(\displaystyle \int \sin(3x)\cos(4x) \, dx\) https://youtu.be/WFjBdeuxJCU