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I need some help with an integral.
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btw i know that the first one is -7
\[\int\limits_{-3}^{3}f(x)dx=\int\limits_{-3}^{-1}f(x)dx+\int\limits_{-1}^{1}f(x)dx+\int\limits_{1}^{3}f(x)dx\]
i only need help one the second half
\[\int\limits_{1}^{-1}f(x)dx=-\int\limits_{-1}^{1}f(x)dx\]
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can you solve now?
uh no
do I do the same as I did in the first part?
\[\int_1^{-1}[2f(x)-6]dx =2\int_1^{-1}f(x)\,dx -6\int_1^{-1}dx \]
\[\int\limits_{1}^{-1}2f(x)dx-\int\limits_{1}^{-1}6dx\] \[=-2\int\limits_{-1}^{1}f(x)dx+6\int\limits_{-1}^{1}dx\]
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okay so I got -4....
\[=-2*-7+6[1-(-1)]=14+12=26\]
you got it.
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