Having problems Evaluating Integrations

[majorrip]

any help would be appreciated

 

[Deleted member 4993]

View attachment 19270

any help would be appreciated

Please post ONE (1) problem per thread.

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:

https://www.freemathhelp.com/forum/threads/read-before-posting.109846/#post-486520

Please share your work/thoughts about this assignment.

Hint for (i)

substitute

u = e^-2x

Continue......

 

[Steven G]

In the 2nd problem (sorry Subhotosh) the main problem is that you can't distribute because the factor with the power 10 is not just x or u or a single variable. Now now matter how complicated the 1st factor is (as long as it has no exponent) you could distribute if the 2nd factor was just x^(some power) or u^(some power). So I do a substitution where u = 5-3x and then distribute.

 

[Deleted member 4993]

If I were to do the second problem (just to be contrary) - I would use first:

\(\displaystyle \int f * dg = f * g - \int g * df\)