Question

Let f(x) be odd and integral between -4 to 8 f(x)dx=1.

Integral Between 4 to 8 f(x)dx=?

Answer 1

second time i have seen this problem and i couldn't get it the first time
seems like it could be anything

Answer 2

I know that there's a specific way to do it, but problem is i don't know how to apply it. xD

Answer 3

ooh doh

Answer 4

\[\int_{-4}^4f(x)dx=0\] because the function is odd!!

Answer 5

Apparently It's not the right answer. This is what I got a hint for.

Answer 6

jeez sometimes i think my brain went on vacation

Answer 7

yea so the part from -4 to 4 contributed nothing

Answer 8

the part from 4 to 8 is one

Answer 9

Sometimes I want to cry in a corner.

Answer 10

lol me too

Answer 11

\[\int_{-4}^8=\int_{-4}^4+\int_4^8=0+\int_4^8=1\]

Answer 12

That seems right. lol actually yeah!

Answer 13

oh yeah, it is right

Answer 14

i would bet \(\$87\) on it

Answer 15

Hahaha Thanks :)

Answer 16

And if f is odd then F is even so F(4)=F(-4)
\[\int\limits_{-4}^{8}f(x) dx=F(8)-F(-4)=F(8)-F(4)=1\]

Answer 17

\[\text{ so } \int\limits_{4}^{8}f(x) dx=1 \]