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Definite Integrals

This is part of the HSC Mathematics Advanced course under the topic of Integral Calculus: Areas and the definite integral

In this post, we use the notation of the definite integral \int_b^a f(x) dx for the area under the curve y = f(x) from x=a to x=b if f(x) \geq 0

 

Properties of Definite Integrals (1 of 4: Sign & symmetry)

 

Properties of Definite Integrals (2 of 4: Dissection & direction)

 

Properties of Definite Integrals (3 of 4: Addition)

 

Properties of Definite Integrals (4 of 4: Piecemeal functions)

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