But Jhevon saidI would have simply substituted x like you said, mr fantastic, but my calculator said otherwise, so I changed course.now apply the second fundamental theorem of calculus (the rule you stated)
Believe me, I am acutely aware of what happens when the input into a calculator isn't formatted right. I entered it exactly as shown in my posting, checked and re-checked. Of course I'm not expecting you to troubleshoot my calculator.Without seeing what your input is, I really couldn't say. But there's an old computer programming adage that has never been truer when it comes to CAS calculators: Garbage in, garbage out. No offence intended
I was referring to: that is the right rule to use. it is a variation of the second fundamental theorem of calculus (which mr fantastic gave you the formula for) which is derived by using the chain rule. i was not in anyway referring to the format of your answer. in fact, i was going to ask you in my first post why is it you have two terms as opposed to one
If you have a TI-89, the input is:
d( (sin(t/2)*cos(t/3),t,x, /2),x)
and you get ....... ohoho! ..... and you get ..... now that's interesting .....
But remember that .
So here's a question for you: What happens if you let and in the above identity?
Hint: Stamp this case as solved.
(Or perhaps not ...... why rather than ...... ? Why?)
What's the moral of the story? (The answer has the words "unexpected" and "output" in it). Hmmmm .... the CAS calculator works in mysterious ways sometimes.
My trig is a little rusty.But remember that .
So here's a question for you: What happens if you let and in the above identity?
Hint: Stamp this case as solved.
(Or perhaps not ...... why rather than ...... ? Why?)
That's why I asked you what was going on, because sometimes calculators give odd, but correct results. If you're good at math, you can see what happened. Sometimes the boolean evaluator function doesn't work, and I have to compare two expressions numerically (maybe there's a better way). Bottom line is, I thought this problem was more complicated than it actually was, and got confused.What's the moral of the story? (The answer has the words "unexpected" and "output" in it). Hmmmm .... the CAS calculator works in mysterious ways sometimes.
is 1, so it would be f(x)?