Question

which integration rule would i use for the following question

Answer 1

Question?

Answer 2

is it substitution??

Answer 3

integration has techniques; not rules perse

Answer 4

substitution would clean it up yes

Answer 5

yes technique

Answer 6

help me out please

Answer 7

your options for substitution are limited; what would you pick as your best substitution?

Answer 8

x^2=t

Answer 9

we want to choose something that will derive to a useful layout

Answer 10

u would be 4x??

Answer 11

lets try it ....

Answer 12

if u = 4x what does that derive to?

Answer 13

we derive the u part to find the substitution for dx

Answer 14

4

Answer 15

which do you want to do; u = 4x or u = x^2?

Answer 16

your picture is good except in your deriving of u

Answer 17

\[u = x^2\]\[\frac{du}{dx}=2x\]\[\frac{du}{2x}=dx\]

Answer 18

so use du=4??

Answer 19

\[\int4xe^{x^2}dx\to\ \int \frac{4xe^u\ du}{2x}\]

Answer 20

your ignoring the dx part that your spose to be finding a subsitution for

Answer 21

ohh okay

Answer 22

If you're wondering how everyone knew u=x^2 was the right substitution, here's a hint: