Evaluate the integral such that the graph of f is shown. ņ f(x) dx Round the answer to the nearest thousandth. -5-4-3-2-1 3 2- 1- -2- A 2 3 4 5 6 7

Q: The graph shows a linear function, together with a shaded region below it. Complete the notation for…

A:

Q: Fill in the table and sketch the graph of the following equation. f(x) = -2x - 5 3x + 18 =

A: The given function is f(x)=-2x-53x+18.

Q: The shaded region shown below is bounded by the functions f(x) = -2x2 +2.75x +9 and g(x) = –-0.75x…

A: 1st we need to find point of intersection of given curve and line .Then divide shaded part into two…

Q: •4 x²+2x+3 Find the value of ,* dx and round your answer to four places. x2-9

A: The given integral is: I=∫24 x2+2x+3x2-9 dx

Q: (2x-1) dx 3 2x²-x²-27x +36 f

A:

Q: Find x. Then, find LM. K 4x - 2 3x + 3 X = LM = %3D

A:

Q: I + 5 dx x3 – x Evaluate

A:

Q: 3 dx = o 1+x

A: the given integral is ∫0∞x-231+xdx Rewrite the integral as ∫0∞1x231+xdx first calculate ∫1x231+xdx…

Q: 1 he graph of y = and the x-axis to the right of x = 3. (If not posi (4x – 3)3/2

A:

Q: EXTRA CREDIT Find the total area between the graph of f(x) = x² – 11x + 24 and the x-axis on the…

A:

Q: 3x +3x-5x² +x-1 dx x² +x -2 Q4 Evaluate

A:

Q: 2x + 1 Evaluate dx x2 - 7x + 12

A:

Q: Evaluate the function. Find f(4) when f(x) = x² - 2x - 1. 23 7 25 9

A: f(x)=x2-2x-1for  f(4) , put x=4 in f(x)

Q: Find the value of x

A: We know that if two secants intersect outside a circle, the circle divides the secants into segments…

Q: Let a be a real valued constant. Find the value of , 5¤ |x| dx. 50a O It does not exist. 50

A: Consider the given integral. ∫-425αxdx The objective of the problem is to evaluate the given…

Q: -e*x+e3x+2e²x-e* Fill-in the blank. The f -dxis equal to (Ge3x +;e2x + ) + C. 2-ex

A: The given integral ∫-e4x+e3x+2e2x-ex2-exdx=∫e4x-e3x-2e2x+exex-2dxSubstitute u=ex-2,…

Q: A very aggressive tumor is growing according to the function N(t) = 2¹, where N(t) represents the…

A:

Q: Read the graph to answer the question in the photo.

A: Divide the distance between the end points by 5 equal spaces.s=51.5−(−1)​=52.5​s=0.5 Solve for the x…

Q: 5 X √x dx

A: we know  ∫xndx=xn+1n+1+cax×ay=ax+y

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.