x² - dx ? Using trigonometric substitution, what is x3

Q: 1/2 x2 The result of dx is F(b) – F(a); where F(a) and F(b) are real numbers. What is the value of F…

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Q: Evaluate the definite integral. sin(4t)dt

A: Here is the solution:

Q: A company manufacturers and sells a televisions sets per month. The monthly cost and price-demand…

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Q: 1 A function f is given by f(x) = This function tak (x+ 4)2 f(x + h)-f(x) Find f(2), f(0), f(a), f(x…

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: Integrate

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Q: Using Integration By Parts, x Arcsec 3x dx = u v - Jv du - iv- Svau. Jv du. Find uv- o Arcsec 3x -…

A: Given: ∫x Arcsec3xdx=uv-∫vdu   ......(1)   As we know that; The chain rule; fgx'=f'gx·g'x The Power…

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 4 + 54x –…

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Q: 'n = 1 n (- 1) "xη Σ 'n = 1 n2 8. 8.

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Q: ||r(t) × r"(t)|| Use the formula k(t) to find k(t). r(t) = t’i + t°j 70 t4 K(t) (4 + 49 t10)ž

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Q: Find the antiderivative F of f that satisfies the given condition. Check your answer by comparing…

A: ∫f(x) dx=∫ 5-31+x2-1dx=∫ 5dx-∫ 31+x2-1dx=5x-3arctanxAdd a constant to the solution=5x-3arctanx+C…

Q: /9– x² using Trigonometric Substitution what is dx ? onsider x2 3 sec e de P 3 cos e de O 3 sec e…

A: Topic:- application of integration

Q: Ssin(x)cos(2x)sin(3x) dx O sin(6x) sin(2x) , sin(2x)cos(4x) 24 8 8 + 4 sin(3x)cos(3x), sin(2x) +…

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Q: puppy needs a rectangular dog run outside. You have 50 feet of fencing and plan to rall of your…

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Q: Evaluate the integral (2 + 6) (2? + 6z + 2)*dz by making the substitution u = x² + 6x + 2. + C

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Q: AY Deternine the elative maxina and relative Minima, If any.

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Q: Evaluate the indefinite integral. sin (r)cos(r)da + C

A: Explained below

Q: sec(6z)tan(6x)dx, u = 6x

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Q: JV-x² + 4x+5 Consider dx. Using trigonometric substitution, what is the integral form in terms of 0?

A: We have to determine  integral form of given question

Q: 4. Suppose U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {3, 4, 5, 6, 7}, B = {all multiples of 3} and C =…

A: U=1,2,3,4,5,6,7,8,9A=3,4,5,6,7B=all multiples of 3C=all multiples of 2

Q: In how many ways can the digits in the number 8,400,000 be arranged? ways (Type a whole number.)

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Q: Let f(x) = Vx +1. Calculate the difference quotient f(15 + h) - f(15). for h h = .1 h = .01 h 3= .01…

A: Given: f(x)=x+1 We have to find f(15+h)-f(15)h for h=0.1, 0.01, -0.01, -0.1 For h=0.1:…

Q: A. Direction: Evaluate the limit. f(x) = {x – 2x + 2, x < 2 х- 3, х22 1. Evaluate the limit using…

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Q: In the diagram below, a and b are vectors such thay cos0 = 1/6. Given thay a= i +j+ pk and b= 2i…

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Q: What are the polar coordinates of the point P shown below? 2 3 4

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

Q: Find the first partial derivatives of the function. x5 - y5 x° + y f(x, у)

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Q: 2) Calculate lim ( In(3x + 1) – In(2x + 1)). -

A: Since you have asked multiple questions, we will solve the first question i.e., Question-(2) for…

Q: D 2x³ – x² + x +2 = (: find dx - A+B+C+D- Consider - + + + x+1 x4 + x3 O 2 O 4 O 3 O 5

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Q: curve has the following parametric equations with parameter t. x=2t-1/2t and y=2t+1/2t. Find dy/dx…

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Q: dx consider Using trigonometric substitution, find u ar (x²+x+1)½ (A) u=x+1, a=- (B u=x+1, a=1 C)…

A: Topic:- application of integration

Q: The limit of a function is the value it approaches as the value of x approaches a certain value. a.…

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Q: _14. Suppose that a function f: R² → R and its partial derivatives up to the third orders are…

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Q: 2x+11 3 1 dx . evaluate Consider 3 dx = x2 + x- 6 1 dx : x+3 - X- 2 x+3 x- 2 X-2 In |x+3 +C x+3 In…

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Q: Let r = xI + yj + zk and r= |r|. Find each of the following. (Give your answers in terms of r.) (a)…

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Q: TRUE OR FALSE. Consider the parametric equations of a cycloid given below. Its length of arc is…

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Q: Find the derivative of the function. f(x)= 10Vx- 6e*

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Q: x² + x +2 dx - x2 – 1 Evaluate (х-1)2 + C x+1 x+ In- x+1 In- + C (x – 1)2 (x – 1)2 In- X+1 x+1 +C x+…

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Q: Which of the following is not true about the curve described by the following parametric equations?…

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Q: Sx. Svau Using Integration By Parts, x Arcsec 3x dx = u v- Find UV- du O 1 x2 Arcsec 3x 2 dx V9x2 -…

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Q: (Ca' - x*

A: we know that,           integration of xn dx = xn+1n+1.  and x-y2= x2+y2-2xy

Q: 2x How many times will you use integration by parts in solving- cos²(2x) once O twice O thrice no…

A: Here, the given integral is: I=∫2xcos2(2x)dx=2∫x sec2(2x) dx

Q: 2 (х + 2y)dx + (у - х)dy %3D 0

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Q: Use the information about values of the functions and their derivatives to calculate H'(4), where…

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Q: Vx² + 4x – 5 ,2 using Trigonometric Substitution find x Consider X+2 O -2 +3 sec 0 O3 sec e O -2+…

A: Here, the given integral is: ∫14x2+4x-5x+2dx=∫14x2+4x+4-9x+2dx=∫14(x+2)2-9x+2dx

Q: 5x (x² +a) dx is In +eTan-1X The resulting integral of + C, where a, b, d, and e are integers. What…

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Q: Q2/ solve the Differential Equation [ (2xy+3y²)dx = (x² + 2xy)dy ]

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Q: [sin(x)cos(2x)sin(3x) dx sin(3x)cos(3x) sin(2x); [cos(2x) – 1]+ +C + 12 8 4 sin(3x)cos(3x)…

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Q: .4 V x2 + 4x - 5 Consider dx using Trigonometric Substitution find x- x+2 3 sec e -2 + sec 6 sec e…

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Q: Evaluate the integral Scor? x dx cot2. O cot x - x + C О -cot x - х+ С O cot x + x + C o 1 cot? x +…

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Q: 2. 2Сy — У(х-1) dx

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Q: dx 3 sin e+C = Using Trigonometric Substitution 3 express the answer in terms of x. (x²+ x + 1)7

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