Question

evaluate the integral using the given substitution.
x^4(x^5-3)^5 dx, u=x^5-3

I got: 1/25(x^5-3)^5+C this is correct?

Answer 1

I don't think that the answer you got is right..
I think you made amistake here:
\[\frac{1}{5} \int\limits u^{5}du \] when you integrate it..

Answer 2

1/5(x^5-3)^5+C ??

Answer 3

Nope..
use:
\[\int\limits x^{a} dx = \frac{x^{a+1}}{a+1} +C\]

Answer 4

\[\frac{1}{5}\int u^5du\]
\[\frac{1}{30}u^6\]

Answer 5

hi mimi
nice bike!

Answer 6

lol, people are starting the bike trend now :P

Answer 7

wanna race?

Answer 8

haha, I will lose for sure!

Answer 9

i dunno your bike looks newer than mine

Answer 10

those are my two choices, and these two.
1/25x^25-3+C
1/15(x^5-3)^3+C

Answer 11

my books looks new but your one looks nicer!

Are you sure about the choices?

Answer 12

unfortunately...yes i'm sure :/

Answer 13

i get
\[\frac{1}{30}(x^5-3)^6\]

Answer 14

I get that as well; dont forget about +C

Answer 15

darn...that's not even one of my choices lol

Answer 16

this is the integral
\[\int x^4(x^5-3)^5dx\] right?

Answer 17

Hey satellite, Imma bike too :)

Answer 18

wow lots of bikes today
one day everyone was my bike

Answer 19

yes, using the substitution u=x^5-3

all these cool bike peeps helping me are so cool. thank you! :)

Answer 20

@satellite73 You are our idol :) you don't even know me I guess. I am Parth.

Answer 21

Penny-Farthing ftw