Thursday

August 28, 2014

August 28, 2014

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

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

**Related Questions**

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 ...

Reading - can you help me thank you: 2.Detecting bias is one of the major keys ...

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...

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...

Physical Ed - 11. Disagreements are a normal part of life. (1 point) True False ...

English - 1.) Anyone can publish information on the Internet without fact-...