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Proposition: Integral of Sine

Let a,b\in\mathbb R. The Riemann integral of sine in the closed interval [a,b] equals

\int_a^b \sin(x)dx = -\cos(x)\;\begin{array}{|l}a\\\\b\end{array}.

Proofs: 1


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References

Bibliography

  1. Forster Otto: "Analysis 1, Differential- und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983