Consider the definite integral J 2e0" dx. 1 What is the summation that is equivalent to the definite integral given? Fill in the blank: lim , (------). n00

Q: X+ 4x + 3

A: Given query is to eveluate the integral.

Q: Evaluate the integral of the following 1. 6x° .5 182? + 7 dæ

A: Topic:- integration

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Q: S sec? (;x + 4)dx ec²Gx

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Q: /4 18. sec (0) tan (0) do

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Q: The graph of f is shown. (a) (b) (c) /0 16 10 48 Evaluate each integral by interpreting it in terms…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 1. Find and sketch the domain of f(x, y) = (x – 3y)t.

A: For the solution of the problem follow the next step.

Q: 2 17. x3 – 2x da

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: Let's look at the summation 2 lim E1 (5x;² – x; + 4) AĽ on the interval n00 [-2, 6]. What is the…

A: The given summation: limn→∞ ∑i=1n 5xi2-xi+4 ∆x     on the interval  -2, 6

Q: Evaluate (2x + 3e* - 4) dx a. 12.43 b. 13.45 c. 14.24 d. 15.23 e. NONE OF THE ABOVE A О в Oc O D DE

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Q: 3 (2x + V3x² dx 6. 1 2 Sle* +%-1 dx = 7. 0

A: Spliting the sum and integrating seperately we are getting the answer.

Q: Зx2+2 dx 0 2x²+4x+3

A: Adjust the numerator to get the known integral form.I have add and subtract the same value to get…

Q: Find the area between the curve y² + 2x – 2y- 3 = 0 and the y– axis 15 а.) sq.units 2 b.) 36…

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Q: 5. Evaluate the double integral (2x – y) dA where D is bounded by the circle with the origin as its…

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Q: In the following exercises, evaluate the triple integral f(x, y, z)dV over the solid B. B = {(x, y,…

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Q: 7. A variable equilateral triangle whose plane is perpendicular to the x-axis has its two vertices…

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Q: FIND: hf(x)dx 2 g(x) dx = = f₁₁ f(x) dx = = if g(x) is an odd function. if f(x) is an odd function.

A: We need to find integral.

Q: Find the area of the surface generated by revolving about the x-axis the ellipse x = acost, y =…

A: We need to find area. NOTE - As per Bartleby's guidelines we can solve one question from multiple…

Q: 2 Use properties of integrals to evaluate S [(e2") – (e*)] dæ, 1 2 2 if S (e2") dæ = $ – : dz = $ –…

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Q: 4 dt 1+t2

A: ∫0141+t2 dt

Q: 20. V4 + 3x dx 21. dr

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.