for my homework it says use symbolic integration utiltiy to find the indefinite integral... whats that mean?

The term symbolic is used to distinguish this problem from that of numerical integration, where the value of F at a particular input or set of inputs, rather than a general formula for F, is sought.

in general , it just mean "indefinite integral"

do you have an example of the problem?

find the indefinite integral of x^3/(1-x^4)^(1/2)

\[ \int\limits_{}{x} ^{3}/\sqrt{1-x^{4}} dx\]

substitution: u=1-x^4 then du=-4*x^3 dx try it

whats that suppose to be?

x^3 dx =1/4 du right?

i did it

i got -1/2(1-x^4)^1/2 +C

sorry i didnt respont i was looking throug my notes

\[=-1/4 \int\limits_{ }^{}du/u ^{1/2}=-1/4 * 2/3 * u ^{3/2}=\]

yes i did that

=-1/6 (1-x^4) ^3/2 + const

its not 3/2 because its -1/2

oups... you are right!

the square root was originally to the bottom sorry if i didnt make it clear

thank you ! your help is greatly appreciated :)

so I got: -1/2 (1-x^4)^1/2 + const right?

:)

okay lol

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