can someone pls help me understand integration by parts. i am 13 and taking calc bc online. i understand most things decently well except integration by parts. pls msg me if u want to help 😦
#how to do integration by parts
small echo
naive turtleBOT
can someone pls help me understand integration by parts. i am 13 and taking calc...
- Do not ping the Moderators, unless someone is breaking the rules.
- Do not ping the Helper Moderators, unless there is a conflict between helpers.
- Do not ping other members randomly for help.
- Ask your question and show the work you've done so far. If you've posted a screenshot of a question, specify which part you need help with.
- Wait patiently for a helper to come along.
- If the Helper has answered your question, remember to thank them with the Mathematics Ranks bot and close the thread with:
+close
Feel free to nominate the person for helper of the week in #helper-nominations
If you're happy with the help you got here, and the server overall, you can contribute financially as well:
spice parrot
post an integration by parts problem and say at which step you get stuck in
cinder trail
can someone pls help me understand integration by parts. i am 13 and taking calc...
Okay, so you recall how differentiation works?
small echo
yes techie
cinder trail
yes techie
You recall the product rule of differentiation?
cinder trail
is correct?
...no, because the product rule is stated as an equation.
cinder trail
no but if you have f(x)*g(x)
Right, the chain rule states $\frac{\dd}{\dd{x}}f(x)g(x) = f\frac{\dd{g}}{\dd{x}} + g\frac{\dd{f}}{\dd{x}}$
analog umbraBOT
Techie Literate
cinder trail
Thus, $f\frac{\dd{g}}{\dd{x}} = \frac{\dd{fg}}{\dd{x}} - g\frac{\dd{f}}{\dd{x}}$
analog umbraBOT
Techie Literate
cinder trail
And integrating both sides with respect to $x$, we achieve $\int f \dd{g} = fg - \int g \dd{f}$.
analog umbraBOT
Techie Literate
small echo
no lol but someone else explained it ty for ur help techie literate good sir
sick runeBOT
@small echo