Put the steps in order to finding the limit definition of the definite integral using the "process" shown in the notes: find the "width" of each rectangle add together n "arbitrary" rectangles find the area of an "arbitrary" rectangle by multiplying the width and the height find the endpoint of a "arbitrary" endpoint X¡ find the "height" of the "arbitrary" rectangle by evaluating the function at the endpoint take the limit to infinitely many rectangles > >

Q: Identify where the function f(x) = x' – 4x + 8x + 3 is increasing, decreasing, concave up, and…

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Q: 3- Find the domain and ranges for V1/(1 – x3)

A: The given function is 11-x3  To find the domain and range of 11-x3

Q: Determine the intervals on which the function is concave up or down and find the points of…

A: Giveny = 5x2 + ln xwhere x > 0

Q: can you give steps on how to do a "Definite Integral of a Root (or Fractional Exponent)"

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Q: Find the indefinite integral and check the result by differentiating. xp

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Q: Determine the intervals on which the function is concave up or down and find the points of…

A: Given y=7x2+ln(x) We need to find intervals where graph is concave upward concave downward and…

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A: This is a differentiation question

Q: Find the indefinite integral using an appropriate trigonometric substitution and showing a right…

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Q: definition of limits (4-step Rule). Show step from step 1 to 4.

A: 4 step method of derivative. 1. Substitute  "x"  with ''x+h''2. Find the difference from second…

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Q: Determine the intervals on which the function f(x) = x (x2 - 175) is increasing or decreasing. 1/3…

A: Given function, fx=x13x2-175 Function f(x) increases where f'(x)>0 Function f(x) decreases where…

Q: Determine the intervals on which the function is concave up or down and find the points of…

A: For the point of inflection, we solve y"=0

Q: Determine the intervals on which the function is concave u у 3 19х? + In(х) (х > 0)

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Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.