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Mathematics 16 Online
OpenStudy (wade123):

@perl

OpenStudy (wade123):

@perl help plz!!

OpenStudy (perl):

can you show me any work you did so far

OpenStudy (wade123):

so i can distribute first right?

OpenStudy (wade123):

i havnt dtarted this problem because im confused

OpenStudy (perl):

start with a u substitution u = x^3 - 4

OpenStudy (wade123):

ohh ok i know how to do this problem, one second while i colve it out, will you check it for me after?

OpenStudy (perl):

ok

OpenStudy (wade123):

@perl i got 1/4(x^3-4)^4+C , could you please check? @perl

OpenStudy (wade123):

i think i did it correctly, im trying to upload my work because i did it on a piece of paper

OpenStudy (solomonzelman):

when you do your u-sub you have another 1/3 overthere. Incorrect.

OpenStudy (solomonzelman):

u=x^3-4 du=3x^2 dx ---> (1/3) du = x^2 dx

OpenStudy (solomonzelman):

So Integral of x^2 (x^3-4) dx the x^3-4 gets replaced by u the x^2 dx get replaced by (1/3) du you have (1/3) Integral u^4 du

OpenStudy (solomonzelman):

and when you integrate, you divide by 1/4 yes, but you ALREADY have the 1/3 there, so in the final answer you have a coefficient of 1/12 (not 1/4).

OpenStudy (solomonzelman):

Is this making any sense /

OpenStudy (solomonzelman):

??

OpenStudy (wade123):

ohh so my final answer would be 1/12(x^3-4)^4+C? @perl

OpenStudy (wade123):

* @SolomonZelman

OpenStudy (solomonzelman):

yes, and do you fully understand why ?

OpenStudy (wade123):

yes!

OpenStudy (solomonzelman):

very nice... have a good night, I am going offline:)

OpenStudy (wade123):

@perl

OpenStudy (wade123):

@perl ????

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