thank you i solved the problem

[icyhot2590]

thank you i solved the problem

 

[stapel]

"Evaluate" over what interval or at what values? ("Evaluate" requires inputs, which I'm not seeing in your post.)

When you reply, please include a clear listing of everything you have tried so far. Thank you.

Eliz.

 

[soroban]

Re: evaluate the integral of (4-e^x)/e^(4x)

Hello, icyhot2590!

Sorry, your steps make no sense . . .

\(\displaystyle \L\int \frac{4\,-\,e^x}{e^{4x}}\,dx\)

Do some algebra: \(\displaystyle \L\:\frac{4\,-\,e^x}{e^{4x}}\;=\;\frac{4}{e^{4x}}\,-\,\frac{e^x}{e^{4x}} \;=\;4e^{^{-4x}}\,-\,e^{^{-3x}}\)


Now integrate: \(\displaystyle \L\:\int\left(4e^{^{-4x}}\,-\,e^{^{-3x}}\right)\,dx\)

 

[icyhot2590]

would it be 4e^(-3x)/-3 - e^(-2x)/2dx ????

 

[stapel]

Duplicate thread deleted.

 

[icyhot2590]

whats a duplicate thread?

 

[stapel]

whats a duplicate thread?

The other threads (two, so far that I've noticed) that you have started on the exact same exercise.

It doesn't help your case that sometimes you are presenting as your own work (in later threads) what the tutors gave you in the first thread.

Note: If you don't yet understand derivatives (and, according to another of your threads, you don't), you are not, I'm afraid, ready yet to consider anti-derivatives (that is, integrals).

Eliz.