integrate x^2/(e^x^3)

Question

anonymous · Answer

x²℮^x³ dx 
 Let u = x³, 
du / dx = 3x² 
du = 3x² dx 
 du / 3 = x² dx 
 ∫ x²℮^x³ dx = ∫ ℮ᵘ du 
 ∫ x²℮^x³ dx = ℮ᵘ / 3 + C 
 Since u = x³, 
∫ x²℮^x³ dx = ℮^x³ / 3 + C

mathmale · Answer

Hello, Bryan,
Lego-Ego has chosen a suitable scheme for integrating this expression:  substitution.  Please read through his work and ask for clarification as needed.  Either he or I could help you finish the integration.

anonymous · Answer

do you think you could help me finish?

anonymous · Answer

I am not the best teacher. I think mathmale could help you more.

mathmale · Answer

Bryan:  I'll be happy to help you.  Would you mind starting off by asking questions about what you need to learn here?  I'd guess you've used substitution in integration before.

anonymous · Answer

never mind i just got it thanks for the help though!!

mathmale · Answer

Good going!  Hope to meet with you again.  MM