Question

looking for the quickest way to solve \[I=\int\limits_{-2}^2x\cosh x \cdot\text dx\] {there is a really quick way}

Answer 1

do you know that quick way unkle?

Answer 2

Just asking..

Answer 3

0

Answer 4

i have a feeling it has something to do with those limits

Answer 5

yes i don know, and looking the limits is a great hint

Answer 6

isn't that an odd function,directly giving answer as 0??

Answer 7

x is an odd function

Answer 8

coshx is even

Answer 9

and cosh x is even function making the entire function odd
there is a property that integral from -a to a of odd function is 0...

Answer 10

odd times even is odd

Answer 11

Have u learnt integration by parts?

Answer 12

Indeed

Answer 13

@hartnn is correct !

Answer 14

http://www.wolframalpha.com/input/?i=integrate+xcoshx+between+-2+and+2

Answer 15

and the property that integral from -a to a of even function is twice the integral from 0 to a of the same function.....

Answer 16

all functions can be shown to contain only even and/or odd parts