Fundamental therom of calculus

[kmikias]

Hi.guys i have some confusion on the fundamental therom of calculus.
here is my question.

1. somethimes when i use the fundamental therom of calculus which is F(a) - F(b).
the out come will be negative .in the same question when i type in my calculator its only give me positive i guess is the area. for example Integral of sinx dx from 0 to 1.5
when i did by hand using FTC its gives me -0.929 but in the calculator its 0.929.I am guesing it the calculator only give the area.(not sure)

so i need explanation on this .

F=derivative of function.

 

[joeyar]

Are you sure you're not getting the endpoints around the wrong way in the calculator? On some calculators, the order in which one should put the endpoints is rather baffling,.

 

[HallsofIvy]

Hi.guys i have some confusion on the fundamental therom of calculus.
here is my question.

1. somethimes when i use the fundamental therom of calculus which is F(a) - F(b).
the out come will be negative .in the same question when i type in my calculator its only give me positive i guess is the area. for example Integral of sinx dx from 0 to 1.5
when i did by hand using FTC its gives me -0.929 but in the calculator its 0.929.I am guesing it the calculator only give the area.(not sure)

so i need explanation on this .

F=derivative of function.

No, in the fundamental theorem of calculus F is NOT the derivative of the function, it is the anti-derivative of the function. Now, what is the anti-derivative of sin(x)?