Integrate sin(x)dx: Typo in Calc Book

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Homework Statement



Integrate the definite integral ∫sin(x)dx given b = ∏ and a = 0.

Homework Equations



Fundamental theorem of calculus; definite integral = F(b) - F(a)

The Attempt at a Solution



The anti-derivative is -cos(x).

F(∏) = -(-1) = 1.
F(0) = 1.
F(b) - F(a) = 0.

Why does the book say the answer is 2 then?
 
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Qube said:

Homework Statement



Integrate the definite integral ∫sin(x)dx given b = ∏ and a = 0.

Homework Equations



Fundamental theorem of calculus; definite integral = F(b) - F(a)

The Attempt at a Solution



The anti-derivative is -cos(x).

F(∏) = -(-1) = 1.
F(0) = 1.
F(b) - F(a) = 0.

Why does the book say the answer is 2 then?

Because F(0)=(-1) not 1.
 
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