Here are the solutions Q1 to Q5 from my popular integral video " What Integration Technique Do I Use"
https://youtu.be/M5MaGUO0JDs This tutorial goes over the strategies of choosing when to use integration by parts, trig sub, u-sub, partial fractions, etc.
Full solution video on Patreon (plus problem and solution files) 👉 https://www.patreon.com/posts/full-solution-to-128217668
1. integral of ln(x)/x^3,
0:00
2. integral of sec^4(x),
2:20
3. integral of (2x+3)/(x^2-5x+4),
3:55
4. integral of x^2*tan(x^3),
7:56
5. integral of 1/(1+x^2)^(5/2),
9:32