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Mathematics 6 Online
OpenStudy (anonymous):

integral help

OpenStudy (anonymous):

\[\int\limits_{-2}^{2} (x^7 +k) dx = 16, \] then k =. . . .

OpenStudy (anonymous):

what did u get for the antiderivative for \(\large x^7+k \) ???

OpenStudy (anonymous):

hello?

OpenStudy (anonymous):

sorry. hold on.

OpenStudy (anonymous):

\[\frac{ x^8 }{ 8 } + \frac{ k^2 }{ 2 }\]

OpenStudy (anonymous):

not quite..... you're integrating with restpect to x so the k is just a constant....

OpenStudy (anonymous):

that second term should be kx... so the anti-derivative is: \(\large \frac{x^8}{8}+kx \)

OpenStudy (anonymous):

now... evaluate \(\large [\frac{x^8}{8}+kx]_{-2}^{2}=16 \)

OpenStudy (anonymous):

oh! ok! gotcha. thanks!

OpenStudy (anonymous):

yw.... :) did u wanna finish this to check ur answer?

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