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Need help understand a definite integral using the limit of sums
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\[\int\limits_{3}^{7}\left( 4x+6 \right)dx\]
I know how to do this problem but I am being ask to do it with summations and the limit of sums
\[ \lim_{n \rightarrow \infty} \sum_{n=1}^{\infty}f \left( x _{i} \right)\Delta x\]
\[\lim_{n \rightarrow \infty}\sum_{i=1}^{n} \left[ 4\left( 3+\frac{4i}{n} \right)+6 \right]\frac{4}{n}\]
I do not understand the above statement
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