Properties for the revision of definite integral

manpreet Best Answer 2 years ago

I am revising the syllabus of mathematics and I think I have done enough properties of definite integration. I am listing all the properties that I have studied:

1. limn→∞1n∑nr=1f(rn)=∫10f(x)dxlimn→∞1n∑r=1nf(rn)=∫01f(x)dx
2. ∣∣∫baf(x)dx∣∣≤∫ba|f(x)dx||∫abf(x)dx|≤∫ab|f(x)dx|
3. ∫baf(x)dx=∫baf(a+b
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