Which of the following integrals is equal to the integral s(2) dz 7/3 s(2) dz 7/3 I s(:) dz 2 -2

Q: Find the area of the region bounded by the curve y= 1--x² and the x-axis.

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Q: Which of the following is an improper integral? -4 x2 – x - 2 dx 2 2x + 8 | In(1+x*)dx -1 ~ In (3e )...

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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...

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Q: Which of the following is an improper integrai? In3e re ,COSX dr dr 4x2-x- 2 'In(x+ 1) dr dx 2x + 8 ...

A: Solution is given below:

Q: For [ Ccos(2x) – sin(2r)cos(2x)) cos(x) – sin(x) -dx=-F(x)+C. What is F (x)? 3 (cse(x) – sec(x))³ ® ...

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Q: a The general antiderivative of ( 3x2– 4) 2x2 can be written as "+ xP. P +C. What is the value of th...

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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 c...

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Q: cos2x – sin2x cos2x For -dr =-F(x) +C. What is F(x)? dr%3D 3 cosx - sinx

A: We have to find F(x) 

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

A: We have,

Q: Find the area of the region bounded by the curve y?=4x and the lines x = 1 and x = 4.

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

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

Q: In (a le) secx ((2- sec²x) " sec (3А - x) to be integrable using the formula What should be the valu...

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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 c...

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Q: 2) The graph of a function y = f(x) is given. Draw a graph of it's derivative %3D

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Q: Question 9 What is the integrable form of sin -cos-sin@ de? A 12-1 du B -2 sinu du du cosu du

A: We have to find the integral

Q: Question 13 b x"+x"+C. What is the value of the sum a +b+d+m+n+p? a The general antiderivative of (3...

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

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Q: d?y -=6-9x dx2 Find the equation of the curve for which and which passes through the points (0, -1) ...

A: We will do this question by checking the conditions for the given options.

Q: What is the integrable form of sin (0) do? sin cos

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Q: of cos 2 2 sin 0) de has the form 1 -F 4 sin lue of 0 to make F(0) =0?

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Q: Which of the following is an improper integral? dx 2 2r+8 B -4 x2-x-2 -1 xe Cos (x)dx -2

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Q: Suppose that P dollars in principal is invested for t years at the given interest rates with continu...

A: Solution is here

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

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Q: Find the area bounded by the curve y=4x, the lines x 1 and x=4. sq, units 2. 63 sq. units 56 sq. uni...

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Q: Which of the following integrals is equal to (3x-5) dr if u=3x-7? (A (u+2) du 8/3 -2 -1 / (u-2) du 3...

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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: et What is the integrable form of dx? e* - e -*

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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. 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: Question 16 Find the area of the region bounded by the curve y2-4x and the lines x = 1 and x = 4. (A...

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Q: 10* -dx may be written as AlnlsecR+ tan Rx C where A, B, and C are constants not equal to zero. Eval...

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

A: The given question has been solved in detail and option D is the correct answer

Q: ex What is the integrable form of dx? (A) – 1) du B du © [lu?-1) du (1-и2) 2 du

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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 c...

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Q: Evaluate xy z? dx dy dz

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Q: Question 20 Which of the following is an improper integral? In(x4+1) dx -1 In3e COSX dx xe dx -4 x2-...

A: solution

Q: Evaluate the flux integral F.S where S is the surface given by 22 = 1 + y, 0s z 5 4, oriented upward...

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Q: sinx sinx +x Cosx- e +e The integral -dx may be written as me"sinx +px+qe^ +C, where m, n, p, q, r, ...

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Q: Find the area of the region bounded by the curve y=1-- and the x-axis.

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Q: If F(X) is an antiderivative of *-2 + x-', then what is the value of F(1) - F(-1)?

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Q: dx - = In[F(x)]+C•What is F(/3) if C = 0? For (x+x³) (x Tan-'x+1) -1 + - 6 -1 + - + -15 -is -İS

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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 c...

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Q: sinx Cosx - e sinx +x The integral -dr may be written as mensinx + px + ge* + C. where m, n, p, q, r...

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Q: Question 2 d²y Find the equation of the curve for which = 6 – 9x and which passes through the points...

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Q: Find the derivative of y = csc¯(In sin (x))

A: use simple integration formula.

Q: Which of the following is an improper integral? In(x4+1) dx dx x2-x- 2 dx 2x+ 8 2 In3e COSX dx xe -2

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Q: QUESTION 19 The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies...

A: Here, given that ∫abf(x) dx=K and F(x), which is an odd function, is the antiderivative of F(x). So,...

Q: 10* -dx may be written as Aln secB*+ tanB*| +C• where A, B, and C are constants not equal to zero. E...

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Q: dy Given the equation below, find dx 10a? + 3x"y + y' = 14 dy da Now, find the equation of the tange...

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Q: Question 10 Which of the following is an improper integral? A dx -4 x-x-2 dx B 2. 2x+8 | In(x++1) dx...

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Q: Question 2 Write a Riemann sum corresponding to the following definite sin x xp- 1+ x5

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