# Thread: Solving definite integral given values of other definite integrals?

1. ## Solving definite integral given values of other definite integrals?

Hello,
I am fairly new to integration and needed help with this question. I have only heard good things about the MHF community and was wondering if someone would be kind enough to help me out. Thanks in advance

I have attached the question: 2. ## Re: Solving definite integral given values of other definite integrals? Originally Posted by TheWorldIsYours Hello,
I am fairly new to integration and needed help with this question. I have only heard good things about the MHF community and was wondering if someone would be kind enough to help me out. Thanks in advance

I have attached the question: What have you tried so far?

Hint: Integrals represent the area between the curve y = f(x) and the x-axis.

-Dan

3. ## Re: Solving definite integral given values of other definite integrals?

Thanks for the reply Dan.
I understand areas between the x-axis and curves, but only between two x-values.
To be completely honest, I have tried simple trial and error, and using a property of definite integrals, but I've been unsuccessful.
The answer is 3, which leads me to believe I have to subtract 5, 3 and 1 from 12. I still do not understand why and it would be extremely appreciated if you could clarify it.

4. ## Re: Solving definite integral given values of other definite integrals?

10= (10- 7)+ (7- 2)- (4- 2)- (0- 4)

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