Question

integral of (ln x)^ln x? MEDALS AND LOVE :D

Answer 1

have u thrown it in a math software or wolfram?

Answer 2

im avoiding that

Answer 3

don't want the answer, want the process :D

Answer 4

http://www.wolframalpha.com/input/?i=integrate+%28lnx%29%5E%28lnx%29

Answer 5

wolfram not helping...:C

Answer 6

just shows the answer

Answer 7

y= lnx^lnx => ln y =lnx(ln ln x) 1/y * y' = product rule
den just put the value of y..

Answer 8

that's the derivative, not integral ^_^

Answer 9

you can't solve it with non-computational methods

Answer 10

u mind drawing that out? sry i can't read that :C

Answer 11

is it similar to integrating x^x?

Answer 12

do you know its answer?

Answer 13

check out my link.

Answer 14

nope forgot where it was in the book :P

Answer 15

@Euler271 i did, only the answer's there...

Answer 16

no results found in terms of standard mathematical funtions

Answer 17

...wtf well there's an answer apparently

Answer 18

not using standard calculus.

you need to use numerical methods to get definite integrals

Answer 19

can u show me?

Answer 20

i can't.

by definite integrals i mean get the integral from a to b and our numerical method will most likely try to literally calculate the area under the curve by adding "n" amount of rectangles [like the definition of the integral which involves summations]

not useful at all unless you have a computer and the "n" number of rectangles is huge

Answer 21

(for weird functions)

Answer 22

hmmm...log differentiation won't work, implicit won't either, maybe it's got something to do with inverse functions?

Answer 23

i mean integration

Answer 24

nope. most [if not all except a few "convenient" exceptions] non-elementary functions can not be integrated with standard calculus

Answer 25

well integral of x^lnx =