Question

What are five basic properties of definite integrals?

Answer 1

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1. `int_a^a f(x) dx=0`

2. `int_a^b f(x) dx=-int_b^a f(x) dx`

3. `int_a^b [f(x)+g(x)]dx=int_a^b f(x) dx+int_a^b g(x) dx`

4. `int_a^b k f(x)dx=k int_a^b f(x) dx`

5. `int_a^b f(x) dx=int_a^c f(x) dx + int_c^b f(x) dx`

I hope that this was helpful.