Question

Which integral will require Integration by Parts more than once?
int_{?}^{?} lnxdx
int_{?}^{?} xsinxdx
int_{?}^{?} (xe^x)dx
int_{?}^{?} x^2 sinxdx

Answer 1

well if I do it; all of them :)

Answer 2

lol :)

Answer 3

You dont have to do all of them! lol

Answer 4

I thought there was like a format that lets you know. Lol. But i'l just go by whatt imrah told me (:

Answer 5

i recall a reiterative process from a textbook, but the details elude me ...

Answer 6

fourth not second sorry

Answer 7

I take back my answer, it was the last one

Answer 8

most of these cyclic problem come in form of
\[\int{e^x sin(x)dx}\]

Answer 9

my table is off :)

Answer 10

\begin{array}c
&&dv\\
---&---&---\\
+&u& v\\
-&du&\int v\\
+&d^2u&\int^2 v\\
-&d^3u&\int^3 v\\
\end{array}
that might be better

Answer 11

\[\int udv=uv-\int vdu+\int^2v\ d^2u -\int^3v\ d^3u+...\]

Answer 12

so x^2*sinxdx

Answer 13

-----sin(x)
x^2. -cos(x)
-2x .-sin(x)
+2. cos(x)
-0. sin(x)

-x^2 cos(x) + 2x sin(x) +2 cos(x) ... sure

Answer 14

awesome! thanks

Answer 15

--- sinx
x. -cos(x)
-1. -sin(x)
0. cos(x)

int(x sin(x)) = -x cos(x) + sin(x) ; which is only a single "by parts"

Answer 16

Good Rule to remember when doing integration by parts is
I L A TE --> Inverse Trig, Logarithmic, Algebraic, Trig, Exponential

Answer 17

is that for u or v :)

Answer 18

yeah the order which to assign u and v