# Homework Help: Integration of exponential

1. Dec 7, 2011

### matt222

1. The problem statement, all variables and given/known data

integrate the function F(t)=1-exp(-∫1/t+2 dt) limit of integration from 0 to t

2. Relevant equations

3. The attempt at a solution

F(t)=1-exp(-ln(t+2)+ln2)
=1-exp(ln(2-t))*exp(ln2)
=1+2t-4
=2t-3

what do you think about my solutions?

2. Dec 7, 2011

### LCKurtz

I think it is full of mistakes. For one thing, it isn't clear whether your original exponential is$$e^{-\int {\frac 1 t + 2}\, dt}\hbox{ or } e^{-\int \frac{1}{t+2}\,dt}$$ In your first step you have treated it both ways and you are careless with your - signs and simplification. Try again.

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