Integration problem:

$$\large \int 7x^4(e^x)^5 dx$$I just don't know what to substitute :( I did one step though... $$\large 7 \int x^4(e^x)^5 dx$$Factored out the 7! :D

Help please!

Question

Integration problem:

$$\large \int 7x^4(e^x)^5 dx$$I just don't know what to substitute :( I did one step though... $$\large 7 \int x^4(e^x)^5 dx$$Factored out the 7! :D

Help please!

calculusfunctions · Answer

Is that $$e ^{x ^{5}}$$ or $$(e ^{x})^{5}=e ^{5x}$$ As soon as you clear that up, I can help you?

zepp · Answer

The whole thing to the 5th power

calculusfunctions · Answer

So you're saying the it's the second case??

zepp · Answer

Yes

calculusfunctions · Answer

OK! then you must use integration by parts. Do you know that or would you like to see a detailed solution?

zepp · Answer

Didn't learn Integration by parts yet. :/

anonymous · Answer

Apply tabular method for Integration by Part will be much easier!

calculusfunctions · Answer

Integration by parts:$$\int\limits_{}^{}udv = uv -\int\limits_{}^{vdu}$$ Do you know this. If not then tell me and I'll show you. Or as Chlorophyll said, a tabular method works just as well.

calculusfunctions · Answer

Sorry, that's $$\int\limits_{}^{}vdu$$

zepp · Answer

Haven't seen this yet, I guess I'll wait a bit for this kind of exercices, thank you everybody anyway!

calculusfunctions · Answer

OK, if you haven't learned integration by parts, have you learned the tabular method?

zepp · Answer

I'm still in Calculus 1 stuffs

zepp · Answer

MIT's problem sets probably mixed Calc 1 and Calc 2 stuffs together D:

calculusfunctions · Answer

Well those are the two methods. Is it possible you weren't in class that day? Yes it is also possible that Calc 1 & 2 were combined. That's besides the point. Which method would you like to learn from me?

zepp · Answer

I don't take Calculus at school, I'm doing this on my own haha, I'll skip this one for now, and I gotta go, thank you @calculusfunctions for your help anyways!