06-24-2017, 05:23 AM
Voted
The area under the curve y = 60sin^2(x)/(e^x) from 0 to t as t tends to infinity.
[spoiler]24
General method outline:
Use double angle identites to write y in terms of e^x and cos(2x).
Integrate it by parts.
Do fancy maths.
Get an answer for the indefinite integral.
Plug in limits and stuff.
Should get 24.[/spoiler]
The area under the curve y = 60sin^2(x)/(e^x) from 0 to t as t tends to infinity.
[spoiler]24
General method outline:
Use double angle identites to write y in terms of e^x and cos(2x).
Integrate it by parts.
Do fancy maths.
Get an answer for the indefinite integral.
Plug in limits and stuff.
Should get 24.[/spoiler]