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Question
Hi.
is it always true that if integral f(x)dx >0
then f(x) > 0
and if not when it is true and when it isnt?
Hi Hamad,
Do you mean definite integral?
If the definite integral of f(x)dx > 0, then f(x) > 0 between those limits if f(x) doesnt change sign during that interval. If f(x) changes sign, then the integral could still be > 0 if the area formed with the x axis is larger above the axis than that below it.
Regards
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| Rating(1-10) | Knowledgeability = 10 | Clarity of Response = 10 | Politeness = 10 |
| Comment | Yes I meant definite integral and thank you | ||
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Answers by Expert:
Ahmed Salami
Expertise
I can provide good answers to questions dealing in almost all of mathematics especially from A`Level downwards. I believe i would be very helpful in calculus and can as well help a good deal in Physics with most emphasis directed towards mechanics.
Experience
An engineering graduate. I have been doing maths and physics all my life.
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