Thread: Any chance I can hire a tutor to help me with my Calculus problems?

Sorry about the long delay, Things have been crazy busy for me lately.....anyhow....

but I do not remember what I am supposed to do with an "x" as the exponent for the letter "e", furthermore, how am I supposed to substitute u and du?

Originally Posted by JDS

Next problem is:

(4x - 2e^x)dx

I am still trying to work this out.... I will post back with my progress

Write the integral as:



On the first term use the rule where is a constant.

For the second term, use the rule

Mark, thanks so much for always being so quick to respond! I really appreciate it. Also, I know you definitely know what you are talking about here, but I just do not get it. However, here is my attempt to use the rules as you have shown them:

4 ∫ [(x¹⁺¹)/(1+1) + C] - e^x + C

= 4 ∫ x² - e^x + 2C

.... Am I even close?

because

AH I think I see what I did wrong....well actually two things.

For one I left out the "2" in the second part of the equation and then I also did not find the antiderivative of the first term with the 4. If that makes any sense.

point is ... you can always check your own work by taking the derivative of your solution.

very true...perhaps I should take your tagline to heart! LOL!

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