Here yo = f(a) where a is -1.
y1 = f(a + Δx) = f(-1 + 0.75) = (-0.25)^2
and so on.
Now try to solve the problem.
Estimate the integral with Trapezoidal rule:
Now when I integrate this I get an answer of 3. Now what the heck is going on? My percent error is over 200%.I've done these problems a lot yet this one I keep getting way above the exact answer. Something is wrong here. What did I do wrong? It's driving me mad
I don't quite understand what you are getting at here. The method I posted is the method that we've been doing these approximations. Find the change in x and then start from 0 and go up until your nth value is reached which in this case is 4. Then you just plug the x values into the function and get your y values. I've done several problems like this before and had no issues. For me to truly see what you are getting at here I'd need to see your full equation so I could compare it with my own.
Edit: WOW i am a complete idiot. I started at 0 when I should have started at -1 and gone to 2. This is unbelievable :|