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lLovePhysics
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Calculator program gives incorrect results (Definite Integrals/ Area)?
I've inserted this definite integral into my calculator program:
[tex]\int_{-1}^{2}x(x^2-4)dx[/tex]
and my calculator gives me -9/4 for the integral, which is what my book's answer key has written down.
However, the area that it gives me is 23/4. Is this the correct area or what? Why are the definite integral and area different? Aren't they essentially the same thing?... or did my calculator program fail on me?
(It worked for just about every integral except this one. That is, the integral and area values matched.)
Thank you very much.
I've inserted this definite integral into my calculator program:
[tex]\int_{-1}^{2}x(x^2-4)dx[/tex]
and my calculator gives me -9/4 for the integral, which is what my book's answer key has written down.
However, the area that it gives me is 23/4. Is this the correct area or what? Why are the definite integral and area different? Aren't they essentially the same thing?... or did my calculator program fail on me?
(It worked for just about every integral except this one. That is, the integral and area values matched.)
Thank you very much.
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