Posted by **Mike** on Tuesday, May 10, 2011 at 5:14pm.

True or false.

1. If F'(x) = G'(x) on the interval [a,b] then F(b)-F(a) = G(b)-G(a).

I think it's true but I just want to check my reasoning. F'(x) = G'(x) means that F(x) and G(x) differ by a constant (which may be 0). When the subtraction is done to find the definite integral this constant disappears so the statement is true.

2. True or false.

Integrate from -2(the number on the bottom of the integral) to 2 (number on the top of the integral) x^-2dx = -x^-1 = -(2)^-1-(-(-2)^-1) = (-1/2)-(1/2) = -1

I think this is false, but I'm not sure why.

Thanks for your help

## Answer This Question

## Related Questions

- Reading - can you help me thank you: 2.Detecting bias is one of the major keys ...
- chemistry - In the chemical plating experiment zinc powder is dissolved in a ...
- Chemistry: Answer check please! - 1. Reactions follow the law of conservation of...
- math- check please - 1) True/false: For any real number x, ln e^x = x. I think ...
- English - 1.A limerick has four lines. True or False? I think its true 2. The ...
- English Ms. Sue? - 1.A limerick has four lines. True or False? I think its true...
- Science - The Sun's surface layer is called the photosphere True or false? I ...
- Pre Calculas - True or false (logx)^2=2logx True or false in56/in7=in8 i got ...
- English12 - Below, you will find a list of sentences. After each sentence, ...
- 7th grade health true or false - 11. Disagreements are a normal part of life. (1...

More Related Questions