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Summary of Properties of Definite Integrals

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Explanations 1

If a function fff is positive, then the definite integral ∫abf(x) dx\int_a^b f(x)\ dx∫abf(x) dx can be interpreted as the area under the graph y=f(x)y = f(x)y=f(x), above the x…
By Japheth Wood

Problems 1

Evaluate the integral ∫−100100(sin⁡x1+x4+1)dx\int_{-100}^{100} (\frac{\sin{x}}{1+x^4} + 1) dx∫−100100(1+x4sinx+1)dx. Source: HMMT February 1999