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Determine a region whose area is equal to the given limit. Do not evaluate the limit.$\displaystyle \lim_{n \to \infty} \sum_{i = 1}^{n} \frac{3}{n} \sqrt{1 +\frac{3i}{n}}$

$\int_{1}^{4} \sqrt{x} d x$

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Anna Marie V.

Campbell University

Kayleah T.

Harvey Mudd College

Samuel H.

University of Nottingham

Michael J.

Idaho State University

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Video Transcript

The first thing we know is that Delta Axe is B minus over on which we know that when we compare, we can see that Delta acts this three over on is one still toe axe is B minus over on and we know that it's b minus one over at is equivalent to three over and then we can get the value to be is be his force A is one b is for we know f of X escort of ex, obviously from 1 to 4 squirt of axe DX. So what this means is this Some represents the area under the curve y equals quarterbacks and above the X axis in the interval from 1 to 4 is given from our A and B, which we calculated.

Topics

Integrals

Integration

Anna Marie V.

Campbell University

Kayleah T.

Harvey Mudd College

Samuel H.

University of Nottingham

Michael J.

Idaho State University

Lectures

Join Bootcamp