16. V5 a csc? (3а? - 1) da 4

Q: 12 dr r3 – I

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Q: a) Evaluate the double integral MUTM 1 dydx. VT2 + y? TM&UTM

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Q: Find the integral. [col³ (x) csc ³¹ (x) dx (Use symbolic notation and fractions where needed. Use C…

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Q: d.x 4. x+ Va

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Q: Evaluate the definite integral two ways: First by a u-substitution in the definite integral and then…

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Q: 1. y =-2x +6 x-int: J-int:

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Q: Express the integral in terms of the variable u, but do not evaluate it. 7xV5 – x2 d; u = 5 - x2…

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Q: 65 3. メー1

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Q: The line segment x = y, 0 ≤ y ≤ 2 is revolved around the y axis to form a cone.   1. Find the…

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Q: 10x2 시8+2x3 dx

A: The given Integral is ∫10x2 8+2x34 dx

Q: | 24(e(7x2+24x+3x*)) + 14x(e(7x²+24x+3x³)) + 9x²(e(7x²+24x+3x³)) (dx)

A: Let the given integral I. It can be written as, I=∫24e7x2+24x+3x3+14x e7x2+24x+3x3+9x2 e7x2+24x+3x3…

Q: 5. S √x²-a² dx

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Q: Evaluate the integral by making the appropriate substitutions. Write your solution as a single…

A: Our Aim is to evaluate the integral given below:-∫03x+2x+1dx -(i)

Q: Calculate the work (in joules) required to pump all liquid out of a full tank. Assume a = 14 m, b 28…

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Q: To find the arclength of y = 4x² - 3 from a = 0 to x = 4, which is the correct integral? √ VI + Sada…

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Q: Integrate ∫sqrt−7x−6 dx using a table of integrals. I'm not sure which formula to use. Thank You

A: Given ∫-7x-6dx

Q: evaluate using trigonometric substitution. Refer to the table of trigonometric integrals as…

A: Let

Q: 3sinx drIsSin3X dx ix

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Q: Evaluate the integral * (2* – 8)* dz, 33 by making the appropriate substitution: u = 33 NOTE: Your…

A: We need to evaluate the following integral I = ∫x3x4-833dx                         ..........1…

Q: 4. Stan²y dy

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Q: ADVANCED MATH (Round off the answers in the nearest ten thousands,  Evaluate J by means fo…

A: The trapezoidal rule uses the formula:∫abydx=h2(y0+2(y1+y2+y3+...+yn-1)+yn), where h=b-aN and N is…

Q: 6,2x dx 1.

A: See the calculation and answer below

Q: Please solve the integral of 1/(x2 + a2) by trig substitution and U substitution. Please show full…

A: Consider the following integral: ∫1x2+a2dx Substitute x=atanθ→dx=asec2θdθ in the above equation:…

Q: (c) Consider two cubes of steel measuring 1 m on a side. One is cut in half in each dimension to…

A: 1.

Q: 6x2 – 10x + 2 dx x3 – 3x2 + 2x -SA+B+C A + B + C dx Question: What is A, B, C? And also evaluate the…

A: It can be solved using partial fraction decomposition.

Q: 5- y? = 4x (4, 4) y = 2x – 4 (1,-2) Using a horizontal element of area, the area of the shaded…

A: Here  we have to find the area of shaded region.

Q: The Gateway Arch in St. Louis was constructed using the equation y = 693.8597 – 68.6772…

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Q: To find the arclength of y = 2x2 - 2 from a = 0 to x = 5, which is the correct integral? OL= VI+…

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Q: A schematic drawing of a 146-ft dome used by a weather service to house radar is shown to the right.…

A: We have to find the surface area of given curve.

Q: et add a plus C. dx

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Q: -34 da (r – 2)4/5

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Q: 7. dx S- X-3√x²

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Evaluate the integral. NOTE: Enter the exact answer. -1

A: We have to solve

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. | ¤(7+…

A: Introduction: "Integration is the process of determining the function from its derivative, and this…

Q: 2. Air is leaking from a spherical-shaped advertising balloon at the rate of 26 cubic feet per…

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Q: Express the integral in terms of the variable u, but do not evaluate it. 12x-11 dx; u = 12x – 11…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. |(142 – 13)*…

A: We have to integrate the given problem by appropriate substitution.

Q: For exercises 1- 3, find each of the indefinite integrals. Use "u" substitution where appropriate.…

A: Integral solution

Q: indicate a good method for evaluating the integral (but do not evaluate). Your choices are algebraic…

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Q: Evaluate the improper integral or state that it diverges. dx 64 Select the correct choice below and,…

A: Consider the given integration. I=∫64∞dxx3 Now, calculate the integral.…

Q: 1 4. fv³ (a²-v²) dv

A: Given problem:- ∫v3a2-v212dv

Q: xp +8x² + 17

A: We have to solve the problem

Q: State whether you would use integration by parts to find each integral. If so, identify what you…

A: Solution: Consider the two functions f(x) and g(x) and product of these two = F So, F = f(x).g(x)…

Q: Evaluate the integral using only methods taught in class, and simplify your answer. Do not ski…

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Q: balloon is rising at the rate of 10 m/s when a small metal part dropped off. If the ballon is 60m…

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Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. 9. +…

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Q: cot 3x csc 3xdx

A: Consider the given integral.

Q: Use geometry and the properties of integrals to evaluate the integrals. Leave your answer in exact…

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Q: Use substitution to rewrite and solve the definite integral: 3x2 27 - Let u = New integral: du Where…

A: The given integral is:∫343x2x3-27dx