Integration problem

[Cameron.S]

Struggling to integrate the equation, pretty sure it can be done by integrating by parts but not sure how

 

[Dr.Peterson]

You should be able to immediately integrate [MATH]e^{-\frac{t}{T}}[/MATH]. That doesn't require parts, just a simple substitution, if that.

What you might want to do is first just to check the answer they give; in fact, that is really enough to answer the question. Differentiate the given function [MATH]\phi(t)[/MATH], and show that (a) the derivative is what you were given, and (b) [MATH]\phi(0) = 0[/MATH].

 

[Cameron.S]

Thanks for the help, tried this method and I’m missing the 1 inside the brackets. Not sure how this can be found?

 

[Deleted member 4993]

Thanks for the help, tried this method and I’m missing the 1 inside the brackets. Not sure how this can be found?

Where did C go in your final step?

 

[Dr.Peterson]

You'll have to use the fact that [MATH]\phi(0) = 0[/MATH] to determine the value of C. You can't just call it 0, as you have.