Integration Problem

[kss]

Can't seem to figure this problem out. Please help!


Evaluate ∫ [(1/x) + (e^x)] dx

 

[pka]

Can't seem to figure this problem out. Please help!
Evaluate ∫ [(1/x) + (e^x)] dx

What is the derivative of \(\displaystyle \log(x)+e^x\)?

 

[mmm4444bot]

Can't seem to figure this

Please help

Evaluate ∫ [(1/x) + (e^x)] dx

You posted an indefinite integral; we cannot evaluate it. We can evaluate only definite integrals. (To evaluate a mathematical expression means to find the numerical value(s) it represents. An indefinite integral does not represent a numerical value.)

Is it possible that the instructions for this exercise say something like, "Determine the antiderivative"?

Also, you ask for help, but you don't say where. Please follow the forum guidelines; here is a link to the summary page. (Links to the complete guidelines, as well as the forum rules, are found near the bottom of the summary page).

Once you clarify the exercise and explain why you're stuck, volunteer tutors can provide specific help (without having to guess).

Thank you! :cool:

 

[kss]

You posted an indefinite integral; we cannot evaluate it. We can evaluate only definite integrals. (To evaluate a mathematical expression means to find the numerical value(s) it represents. An indefinite integral does not represent a numerical value.)

Is it possible that the instructions for this exercise say something like, "Determine the antiderivative"?

Also, you ask for help, but you don't say where. Please follow the forum guidelines; here is a link to the summary page. (Links to the complete guidelines, as well as the forum rules, are found near the bottom of the summary page).

Once you clarify the exercise and explain why you're stuck, volunteer tutors can provide specific help (without having to guess).

Thank you! :cool:

Sorry, I believe I have to find the antiderivative. Our teacher did not give us clear instructions but we just started learning about antiderivatives on Wednesday. I can't seem to figure out what to do with the e^x.

 

[pka]

Sorry, I believe I have to find the antiderivative. Our teacher did not give us clear instructions but we just started learning about antiderivatives on Wednesday. I can't seem to figure out what to do with the e^x.

What is the derivative of \(\displaystyle e^x~?\)

 

[kss]

What is the derivative of \(\displaystyle e^x~?\)

The derivative of e^x is e^x.

I actually figured out the answer after searching google for an hour...

I'm sorry, I know this might look easy for a lot of you but our teacher gives take home quizzes with problems that we have not even learned about yet, which is really irritating. We learned about the antiderivative of e and ln today. It's actually really easy now and I understand it now.

 

[mmm4444bot]

I actually figured out the answer after searching google for an hour ...

:idea: If you had answered pka's first question, you might have had your answer almost a day ago; pka gave you one specific antiderivative. (I'm guessing that your exercise asks for the general antiderivative.)

Make sure to ask somebody, if you do not yet understand the difference between "an antiderivative" of a function versus "the antiderivative" of a function.

our teacher gives take home quizzes with problems that we have not even learned about yet, which is really irritating

Ah! Perhaps you misunderstand the intent of your math class. Calculus class is not just for showing rules and algorithms; it's to force students to think.

If your teacher previously taught the derivative of ln(x) is 1/x and the derivative of e^x is e^x and if your teacher previously defined antiderivative, then the class has all they need to know in order to deduce the antiderivative of 1/x + e^x. That is, once you realize (from the definition) that you need functions whose derivatives are 1/x and e^x, you simply add those functions together with a symbolic constant C.

But, if your teacher assigned this exercise without first teaching antidifferentiation, then that's expecting too much!

:cool: