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Math Help - Unsure how to solve

  1. #1
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    Unsure how to solve

    Suppose that f(1)=2, f(4)=7, f'(1)=5, f'(4)=3, and f'' is continuous. Find the value of \int_{1}^{4} f''(x) \,dx
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  2. #2
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    Quote Originally Posted by Mike9182 View Post
    Suppose that f(1)=2, f(4)=7, f'(1)=5, f'(4)=3, and f'' is continuous. Find the value of \int_{1}^{4} f''(x) \,dx
    If you integrate f''(x) with respect to x you obviously get f'(x) (plus a constant which I will ignore since you have a definite integral). Therefore the given definite integral is equal to f'(4) - f'(1) = ....
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