The general antiderivative of (3x2- 4)2x² can be written as x" a m --x"+-xP +C. b n What is the value of the sum of a+b+d+m+n+p? A 64 65 60 69

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A: I am attaching image so that you understand each and every step.

Q: 8. . x² = 4y and y %3D x2+4

A: As per the guidelines I can solve only first question 

Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

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Q: Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x = 4. 63/2 square un...

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Q: The antiderivative of fx), denoted by F(X), exhibits an odd symmetry i.e., it satisfies the property...

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Q: d?y =6- 9x and which passes through the points (0, - 1) and (2, 3)· Find the equation of the curve f...

A: use simple integartion on both side.

Q: 3 dx Evaluate the J 2+81 improper integral:

A: We need to integrate∫-∞∞3x2+81dxWe know that ∫1x2+a2dx=1atan-1xa+C ---{1}

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Q: The general antiderivative of (3x2-4)2x2 can be written as What is the value of the sum of a+b+d+m +...

A: Given :   (3x2-4)2x2

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Q: Question 20 Which of the following is an improper integral? In3e A xe CoSx dr -2 In(x++1) dx В -1 -4...

A: We have to find the improper integral

Q: Which of the following integrals is equal to the integral (3x-s) dr? 7/3 A |dz 713 B D

A: Please see the answer below.

Q: The integral of the function below may be written as men sin(x) + px + qe"x + C. Where m, n, p, q,r ...

A: First we solve integral . Follow step 2nd . 

Q: cos-sin0 d0 has the form –-F(0). 2 2 The resulting integral of sin- +C. What should be the value of ...

A:      ∫sinθ2cosθ2sinθdθ=∫12sinθ sinθdθ=∫12sin2θdθ=12·∫1-cos2θ2dθ=12·12·∫ 1-cos2θdθ=12·12∫ 1dθ-∫cos2θd...

Q: sinx sinx +x +e -dr may be written as me"sinx + px + qe™ + C. where m, n, sinx p+q+r.

A: We have to choose the correct option according to the given information

Q: d²y =6- 9x and which passes through the points (0, -1) and (2, 3). Find the equation of the curve fo...

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: A stone is thrown vertically upward from the top of a house 112 feet high. If it was thrown at 96 fp...

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Q: cos2x – sin2x cos2x For -F(x)+C. What is F(x)? cosx – sinx

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Q: Evaluate the integrals of the functions graphed by using the formulas for areas of triangles and cir...

A: To evaluate the integrals using the formulas for area of triangle and circles. 

Q: The slope of the tangent line at any point (x, y) on a curve is 25 If the point (9, 3) is on the cur...

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Q: The region bounded by y x2 + x 2 and y O is rotated about the x-axis. Find the volume of the resulti...

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Q: Find the area of the region bounded by the curve y=1-x2 and the x-axis. 9 8 square units 6 square un...

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Q: Question 11 What sin A du du © 2 -2 / sin(u)du

A: To find integrable form of given integral. Using substitution by trigonometry.

Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

A: The antiderivative of f(x), denoted by F(x)F-x=-F(x)∫abfxdx=K, 0<a<b

Q: [(2- sec?r) sec(3A – x) e In (a le) sec³x -dx to be integrable using the formula ? и"du What should ...

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Q: Determine whether z is a function of x and y Determine whether z is a function a?z + 3y? – xy = 10 x...

A: Here is the solution  

Q: The slope of the tangent line at any point (x, y) on a curve is 2,/x- If the point (9, 3) is on the ...

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Q: If the brakes on a car give the car a constant negative acceleration of 2k m/s2, where k is a positi...

A: use simple velocity,acceration,and distance formula.

Q: What is the integrable form of dx? du u2 du np u²) 2 du

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Q: a d The general antiderivative of (3x2-4)2,2 can be written as --x" +x" +C- What is the value of the...

A: We have to find the anti derivative of the expression and find the values of them.

Q: Which of the following is an improper integral? @ I'm(x++1)dx A -1 (B -4 x² – x – 2 © S*« • In3e te ...

A: NOTE: Refresh your page if you can't see any equations. . check the first option find the domain of...

Q: Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x = 4. A 56/3 square ...

A: Put y= 2(x)^3/2.

Q: Find the area of the region bounded by the curve y2= 4x and the lines x = 1 and x = 4. 24 square uni...

A: Area of the region bounded by the curve y=f(x) from x=a to x=b is given by, A= ∫abf(x)dx

Q: You go to the doctor and he gives you 11 milligrams of radioactive dye. After 24 minutes, 7 milligra...

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Q: Question 12 If F(x) is an antiderivative of x2 +x1, then what is the value of F(1) - F(-1)? O-1 3

A: If Fx is an antiderivative of x-2+x-1, then to determine the value of F1-F-1.    

Q: , has the form -F(0) +c- What should be the value of a to make F(0)=0? The resulting integral of sin...

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Q: on 9 e slope of the tangent line at any point (x, y) on a curve is 2 If the point (9, 3) is on the c...

A: Please refer to the image below

Q: F F) s an antiderivative of x-+x-, then what is the value of F(1)-F(-1)2 -1

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Q: cos2x- sin2 cos2x For dr=F(x) +C What is F(x)? cOSx-sinx A -3 sinx- cosX 2. Cos - COSX+sinPx 3 B sin...

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Q: Which of the following integrals is equal to (3x-5) dr if u= 3x-7? 1.

A: The given integral,      ∫123x-5dx

Q: Question 13 5 Point sinx sinx +x Cosx - e +e The integral dr may be written as nsinx me +px + qe FC....

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Q: sin-cos-sino de has the form - 2 The resulting integral of + C. What should be the value of 0 to mak...

A: To evaluate the integral ,use the following trigonometric formulas.

Q: Find the area of the region bounded by the curve y2=4x and the lines x= 1 and x = 4. A 63/2 square u...

A: We have to find the area bounded by the region between x=1 to 4.

Q: cos2x – sin2x cos2x For - dx =-F(x) + C. What is F(x)? cosx – sinx 3 A (cscx- secx)3 2 B sinx + =cos...

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Q: sin-cos-sin@ d0 has the form -F(0) +C. What should be the value of @ to make F(0) =0? 2 2 6. The res...

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