Use the areas shown in the figure to evaluate f(x) dx, y = f(x) Area = 1.5 5 Area = 0.8 a b d Area = 2.6 A -0.3 B 0.3 4.9 D 3.3

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A: f(x)=x-3cosx on -2π,2π

Q: To evaluate sin*2x cos 2x dx , the identities to be used is/are: 1+ cos4x A sin4x & 2 2 B cos²2x= 1-…

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Q: Question 8 Evaluate: Jcos 2xdx cos³2x + cos2x A + C 2 cos³2x + C 6. cos2x B sin2x sin32x + C 6.…

A: topic - integration

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Q: Question 10 Evaluate: Jev*dx. 2ev(/x+1) A +C 2 2ev/x-1) В + C C) © =2ev/x- 1) +c

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Q: 'x/2 dx Using an appropriate algebraic substitution, the integral - 1+x3/2 reduces to 2y² dy A 1+y³…

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Q: Evaluate this path limit: 4.xy3 =??? lim (x, y)¬(0, 0) 2x² +y6 x=y3

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Q: Question 9 – 4 Evaluate: Vx* dx ④ -VR-4-25ec-1(즐)+c + C ① -R-4+2sec-1(즐).c B + C = 2/x2 – 4 + sec +…

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Q: Find all the antiderivatives of the following function. Check your work by taking the derivative.…

A: f(x)=13exIntegrate on both sides:∫f(x) dx=∫13ex dxF(x)=13ex+C

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Q: Question 15 The x²-4 dx can only be evaluated using trigonometric substitution technique . A True В…

A: Follow next step

Q: Evaluate: Jcos 2xdx cos2x cos32х + C 6 A 2 sin2x sin32x + C 6 B 2

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Q: Question 6 To begin evaluating sin*xcos°xdx conveniently, express: A sin'x as (sin²x)²and use the…

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A: f(t) = -34t + 285 this is velocity function for the distance we have to integrate the function s(t)…

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Q: A forest fire is found at midnight. It covers 1300 acres then. ... It is spreading at a rate of f(t)…

A: Given: A forest fire is found at midnight.It covers 1300 acres It is spreading at a rate of f(t) =…

Q: e4X dx Which of the following trigonometric substitutions is the most appropriate to the intgral…

A: Integration

Q: Solve sin(2 – 62) = - Solve the equation for æ without evaluating the inverse function. (Your answer…

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Q: linear approximation of log 99

A: Explained below

Q: Which of the following is NOT an improper integral? x²dx A -2 Vx2-1 z/2 B sec x dx z13 tanxdr dx D…

A: Option C

Q: Question 18 (x+1)dx If JT+2)(x-1)² B 1 2 |dx ,the values of A & C respectively are (x-1)2 9 3 x+2…

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Q: sec? ede 2. tan' 0+9 tan e

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Q: © J tane x*dx Using trigonometric substitution technique, the simplified integral after substitution…

A: sec2(x)-1= tan2(x)

Q: То evaluate sin 2x cos 2xdx conveniently, the formula/identity to be used islare cos²2x=1 – sin²2x…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: sin?u tan"u du where n is any integer, we use the transformation for tan?u= cos?u In A) True В False

A: Here we have to state whether the given statement is true or false.

Q: What two nonnegative real numbers with a sum of 50 have the largest possible product? The numbers…

A: We are asked to find the largest possible product of the two non negative number whose sum is 50

Q: sin2x cos3x dx = sin5xdx - sinxdx A True B False

A: Please see the answer below.

Q: Question 1 To evaluate sin 2r cosº2xdx conveniently, the formula identity to be used is/are A cos 2r…

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Q: То evaluate y?csc?(y³) cor2(y³)dy, we let u =csc(y³) A True B False

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Q: Question 11 The value of x that would give an extraneous solution, 1 х — 1 х — 1 is x =

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Q: Question 3 „Insec2 (sin2y), Which of the following is one of the correct steps to evaluate the sec2y…

A: Given query is to find the correct step to integrate

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A: To find the area between the parametric curves

Q: Luse the Half Anola Forula cos2

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Q: 3.1 e*dx Evaluate: (e**+1)/[e"+1)?-4

A: option A

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A: The given question has been solved in detail

Q: If h (x) = cosxdx and h =4, then h (0) is equal to

A: answer is in step 2

Q: Question 4 x2 dx Using an appropriate trigonometric substitution, the integral reduces to 1+x2 A)…

A: ∫x2x2+1dx

Q: Evaluate: Scos 2xdx cos2x, cos 2x +C A 2 6 sin2x sin32x +C 6. B 2 cos2x cos 2x + C 6. 2 sin2x,…

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Q: x2 dx Using trigonometric substitution, the integral 2 x²– 4 is equivalent to x12 (A 4 sec20 tano do…

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Q: Question 9 To evaluate J y-cse(y?)cor²(y³)dy, we let u =cse(y³) A) True B) False

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Q: Given the following velocity function of an object moving along a line, find the position function…

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Q: The given graph is a graph of a one-to-one function f. Sketch the graph of the inverse function f O…

A: Inverse function of a Graph : The inverse of the function y=f(x) can be written as x=g(y) or…

Q: Determine the intervals on which the following function is concave up or concave down. Identify any…

A: The given function,  g(t)=3t5-20t4+30t3+80

Q: Which of the following will yield an inverse trigonometric function e2* dx A 4+e2r ydy B -16 wdw 25-…

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Q: Suppose f(x,y)= xe figure out tne minim um rate of change of + at the point (3,3). Dont not round,…

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Q: x +1 8. J x(x+ 4)3 dx

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Q: dx is using algebraic substitution technique . The only solution to evaluate 3+ A True В False

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Q: dx The only solution to evaluate is using algebraic substitution technique. 3+ A True B) False

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Q: Which of the following is one of the correctIconvenient steps to evaluate| cot-4dx_which will yield…

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