Integration reduction formula questions. (1 Viewer)

[x.Exhaust.x]

I'm struggling majorly with this part of integration. Are there any ways to solve such questions easily? Or it takes practice?

Thanks.

 

[Timothy.Siu]

just do it by parts, and u shud usually get it straight away with maybe some rearrangement
unless its a really hard one then it might be a bit trickier

 

[alakazimmy]

Just practice and familiarity with questions will help with reduction formulae.
Some reduction ones aren't by parts. Some like tan and cot involve pulling out a derivative, e.g. tan² = (1 - sec²)

 

[youngminii]

Just practice and familiarity with questions will help with reduction formulae.
Some reduction ones aren't by parts. Some like tan and cot involve pulling out a derivative, e.g. tan² = (sec² - 1)

Fix'd.

@ OP: Ask Intuition for the Integration worksheets

 

[Trebla]

I love reduction formulae, especially when used to prove some neat infinite series involving pi and/or e.

 

[tommykins]

actually look at the required formula and see what could fit into it.

ie a 1/n+1 or 1/n-1 requires division from (n+-1)In = blah blah