Can you find out where I am going wrong?
When it gets substituted in it produces
due to the trigonometric identity of
when multiplied out this goes to
when this is integrated it becomes
therefore the area should be
Which then gets to (almost there, I promise)
and because sin(0) is 0 I left the second half out.
I believe that I went wrong when I insert the values but I don't know how to change them
There is a reduction formula for
But we will do it.
You are on the right track, but the solution is not 203/480.
It is obvious the first one is just sin(x), since the integral of cos(x) is sin(x).
Put it all together:
Using integration limits which we could have done back in the sub by changing to u=0 and 1, but we'll do it this way.
We can ignore the 0 limit because it evaluates to 0 anyway.
I felt unusually productive this go around.