|| 16/x, y = x, x? dA; R is the region bounded by y = 15. R and x = 8.

Q: Q2) Find the area between a curve y-x+1 and the line y-2-xx≥ 0. AMP

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Q: 2. Find the area bounded by y = 2x? + 10 and y (Hint: you will need both points of intersection). =…

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Q: Q3 Check the symmetry and graph the curve in polar form if 0 = 0 and equal 1/6 to 1/2 at increments…

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Q: - Evaluate the follwoing | r" exp(ax")dx where a + 0 and m+l = 1, 2, 3, ...

A: Given integral is, ∫xmeaxndx Substitute, u=am+1nxm+1dudx=m+1am+1nxm+1dx=1m+1am+1nxm+1du Then,…

Q: 13 25 X- x; -6, 6] 14 14

A: Consider the given figure as

Q: 6. Fill in the blank: The length of the graph of y = x² on [2, 4] is equal to the area under the…

A: y=x2 on the interval 2, 4. Differentiating with respect to x, we get dydx=2x Now length of the curve…

Q: 3.) Find the area of the region bounded by the graphs of y = x - 1, y = -x + 3, and x = -1.

A: Region bounded by the graphs ofy=x−1,y=−x+3, and x=−1.

Q: There is a partial insurance policy that pays $80,000 upon the bad drought state (and $0 in the…

A:

Q: W1 3. Let w = V = 2 W2 gram formed by w, v is equal to 2.5 1.5 0.5 is W Referring to the image…

A:

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.