Hi, I am currently learning integration.

I encountered an integration question in the top left of the attached image, ya solution provided.

My teacher said that I needed to memorise all 3 formulas at the bottom right of image to solve the question and similar questions in future.

Are they basic formulas that I must memorise?

If not, can someone show me how to derive on the spot?

I believe Maths should be testing LOGIC

and APPLICATION

, not on MEMORY WORK

even though some formulas have to be memorise like those 3 on the bottom left.

Any advice?

Thanks.