Integration by parts. | xcot?x dx

Q: 2. The daily number of calories needed by a reptile of weight x pounds can be approximated by the fu...

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Q: 1. Let R be a relation on the set A = {1,2,3,4,5,6,7,8} defined by aRb if and only if 2a/b?. That is...

A: Range of R = {y: x,y∈R}. Inverse Relation : R-1 ={y,x: x,y∈R}.

Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 2. y = (x2 – 3)2

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Q: 3. The sides of a triangle are given as 3x, x+1 and 3x-1. If the perimeter is 56 ft, find the area. ...

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Q: x2 dx J V4x – x²

A: Given:       ∫x24x-x2dx    =∫x24-x-22dx  substitute u=x-2→dudx=1→dx=du                    use x2=u+2...

Q: Solve ſ cot3 4x csc² 4x dx then evaluate the answer at x=22, C=26

A: ∫cot34x csc24x dx

Q: х+1 dx 3 2 2 25 - x

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Q: 2.2) Solve and explain the steps involved. (2+72)es*dr

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Q: The function f is shown below. What is the value of f(x) dx? Write your answer in simplest form. Gra...

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Q: O Use a linear approxi mation (differential) to estimate 3999

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Q: Using IMPLICIT DIFFERENTIATION, find y'. 2ху + 3y y = 4x' – 5x'y Ах'у? + Вху + Сху - 24y? y'= Dx°y² ...

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Q: Integrate (2x - 5) with respect to x from x = 2 to x = 5.

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Q: Find the critical points c that correspond to local minima. (Use symbolic notation and fractions whe...

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Q: sin (x²) + C

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Q: What trigonometric substitution will you use in solving the below integral? Note: Let W be the angle...

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Q: For each item, graph the function f (x). Use the graph to estimate lim f(x), lim f(x), and lim f(x)....

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Q: 14x – 39 The partial fraction decomposition of 12x2 can be written in the form of 13x – 14 g(x) 3x +...

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Q: 3. Given r(t) et sin t i + e' cos tj + v2e'k, a) find the arc length function for the curve measured...

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Q: Write out the form of the partial fraction decomposition of the function appearing in the integral: ...

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Q: b.2 cos2 3x + sin3x = 1 %3D

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Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the cu...

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Q: 5**+2x (2x3 +1)dx *(2x3+1)dx

A: I have stated the used formulas in the solution.

Q: dw V5-e-2w

A: Given,           ∫dw5-e-2w

Q: sinº – cos? –dx 2 2

A: We have to find the integral of the above function.

Q: Question 1: The lateral surface of a (right) cone is given by LA = TrVh² + r2 where h is the height ...

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Q: If z = x sin y + y sin x a2z then дхду

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Q: Identify all singular points and points of discontinuity of the given function. HINT [See Example 3....

A: Since function is not differentiable at x=5  So, singular point is x=5  But function is continuous e...

Q: 1 d.r r/1+x°

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Q: The region bounded by the given curves is rotated about the specified axis. Find the volume of the r...

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Q: Refer to the figure and find the volume generated by rotating the given region about the specified l...

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Q: Use the indicated substitution to evaluate the integral. 2x cos(x) dx , u = x' sin (x²) + C 2 sin (x...

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Q: Refer to question below. Evaluate d(cos x – x)

A: Anti derivative of derivative .

Q: (2x -y+2)dy + (x-2y +4)dx =D0

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Q: Find the average value of f (x, y) = = 4x cos(xy) over the rectangle R = {(x, y) | 0 < æ < n, 0 < y ...

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Q: 4. Find the arc length of ř (t)= <ť, 9t,4E"/, m/N

A: We know that, The expression for the arc length of the vector-valued curve is: L=∫abx't2+y't2+z't2dt...

Q: How much work is done lifting a 10 pound object from the ground to the top of a 30 foot building if ...

A: Given :   Cable weight used 2.5 pounds per foot

Q: sec(Vx) tan(Vx) dx

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Q: Apple iCloud Yahoo Bing Google Home Wikipedia Facebook The Weather Channel Yelp TripAdvisor https://...

A: Given query is to find the value of the integral.

Q: If a cup of coffee has temperature 100°C in a room where the ambient air temperature is 20°C, then, ...

A: Solve for average temperature after 40 min. 

Q: 3. TVI+ 1 dx (use trigonometric substitution

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Q: 6. S 5e-6x dx 25 +e-6X + 22-2x ) dx *)dx 8. S sec(6x)tan(6x) 9-4sec2(6x)

A: You have asked multiple questions and not mentioned which question answer you need, so according to ...

Q: If you already know lan and |v], then the formula an = K|v gives a convenient way to find the curvat...

A: Please follow step 2 . 

Q: 25 The function f is shown below. What is the value of i/ f(x) dx? Write your -4 answer in simplest ...

A: This question is related to definite integration, we will solve it using given information. 

Q: e3x (1 – 2e3x)2

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Q: 3. Determine whether or not each equation is a function. Justify your answers. a) y =- 2x + 5 b) x? ...

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Q: Sketch the region enclosed by the given curves. y = 13 – x2, y = x² – 5 y y 5 -6 -4 - 2 4 6 -6 -4 -2...

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Q: Evaluate the indefinite integral sin (t)cos (t)dt

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Q: For f(x, y) = 2x3 + x*y? – 5y? +10, Find fr:

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Q: dy For the following composite function, find an inner function u = g(x) and an outer function y =f ...

A: Solution: Here.  y=cos10x

Q: 16-X - 13 - 13 10-x x E 10 = 3.66 m

A: Given: 10-xx=3  ..1