very curious (1 Viewer)

[joeylike2hiphop]

hey smart ppl out dere i have a very curious question. how would we integrate Inx without using integration by parts, fanz ppl's

 

[Jumbo Cactuar]

Maple Its the bomb.

 

[KFunk]

Hey dude, here's the gist:

y = log_ex ---------> x = e^y

I'll take that question from the cambridge 18 b) 28 as an example.
(Find ∫ lnx dx between 1 and a)

At x=a , y=lna . Draw the perpendiculars from the x and y axis to (a,lna) and think in terms of a rectangle. The area of the rectangle is a.log_ea and the area you want to get rid of is equal to the integral of e^y between 0 and lna.

∫ e^y dy between 0 and lna
= e^(log_ea) - e⁰
= a - 1

Hence the area of the area you're looking for is:
a.log_ea - (a -1)
= a.log_ea -a + 1

I hope that gives you the general idea.

 

[joeylike2hiphop]

omg

hey fanz heaps man now its so bloody simple fanz heaps man c ya at skool