Question

Evaluate the definite intergral of sin x from o to infinity.

Answer 1

It doesn't exist.

Answer 2

\[\int\limits_{0}^{\infty} \sin x\]

Answer 3

i need to show work

Answer 4

why doesnt it exist

Answer 5

More preciely, that integral exists if and only if this limit exists:
\[ \lim_{R→∞} \int_0^R \sin x \ dx \]

and it doesn't.

The integral with R is equal to
-cos R + cos 0 = -cos R + 1.

And the limit of (-cos R + 1) as
R --> infty
does not exist.

Answer 6

can u help me with another def intergrl prob

Answer 7

post it on the left.

Answer 8

ok