The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the property F(-x) = -F(x). If Sr(=) dr=K, 0

Q: dx Evaluate Зх — 12

A: To evaluate ∫14dx3x-12.

Q: nd the equation of the curve for which nd (2,3).

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Q: ind the area bounded by the curve y²=4x, the lines x=1 and x=4.

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

A: area of the region can be obtained by definite integral of the function within given limits. here we...

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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. A) 56/3 square...

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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: Find the area of the region bounded by the curve y2= 4x and the lines x = 1 and x = 4. O 21/2 square...

A: Here is the solution

Q: cosx - esinx The integral dr may be written as mensinx pr + ge+ C, where m, n, p, q, r, and C are co...

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Q: of dr? e-ex

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Q: What is the integrable form of dx? du - 1)- du

A: Given problem:-

Q: 4 TT 1 4. 2. 3 y = 1 + V2 csc x csc x + cot x P.

A: Find your answer below 

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 of the region bounded by the curve y2=4x and the lines x = 1 and x = 4. A 21/2 square ...

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Q: Find the area of the region bounded by the curve y^2 = 4x and the lines x = 1 and x = 4.

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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. A 56/3 square ...

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

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

A: d2xdy2=6-9xor,∫(d2xdy2)dx=∫(6-9x)dxor,dxdy=6x-92x2+c1or,∫dxdydx=∫(6x-92x2+c1)dxor,y=3x2-32x3+c1x+c2....

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

A: Option D is the correct answer

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: The integral of (10*/ cos 10*)dx may be written as A In sec B* + tan B*|+ C. Where A, B, and C are c...

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Q: 10 dx may be written as A ln secB+ tanB*+ C. where A, B. and Care constants not equal to zero. Evalu...

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Q: If F(X) is an antiderivative of x2 +x', then what is the value of F(1) - F-1)? (А) -2 В) -1 D) з

A: Given: F(x)=∫x-2+x-1dx So, by the Fundamenetal theorem of calculuas: F(1)-F(-1)=∫-11x-2+x-1dx Now, i...

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: ex What is the integrable form of dr? e* – e° A 2 du B (u²– 1) ² du (u²– 1) ² du D (1-u²) ² du

A: In this question we have to find the Integrable form of the Integral.

Q: (2- sec?r) elm sec(3A – x) e In (x le ) sec³x -dx to be integrable using the What should be the valu...

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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 ...

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Q: b -"+xP +C. What is the value of the sum a+b+d+m+n+p? a d The general antiderivative of (3,2–4)2,2 c...

A: We know that power rule of integration is given as-  Integration of xn is xn+1/n+1.     Here i attac...

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

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Q: 24. Which decimal digits occur as the final digit of a fourth power of an integer?

A: We have to find decimal digits occur as the final digit of a fourth power of an integer. 

Q: Find the area of the region bounded by the curve y=1– x2 and the x-axis. - 4 square units 6 square u...

A: Solved below

Q: What is the integrable form of sin-cos-sino do? 2 2 (A) Vu?-1 du 1- u² du -2/ sinu du D cosu du

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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: 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: Help

A: We will find the dimension to minimize the fencing. 

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

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

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

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Q: A covered box is to be made from a rectangular sheet of cardboard measuring 35 inches by 56 inches. ...

A: Solution: According to the question the diagram will be

Q: sinx+X cosx - esa+e The integral dr may be written as mensinxi pr+ gerx 1 C, where m, n, p, q, r, an...

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Q: Question 10 If the brakes on a car can give the car a constant negative acceleration of 2k m/62 , wh...

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Q: 5. y = xArctanx - In V1+x 6. y = In (e* + e*)

A: topic-second derivative of a function

Q: If the brakes on a car give the car a constant negative acceleration of 24 mfe2, where i is a positi...

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Q: The region bounded by y = x² + x – 2 and y = 0 is rotated about the x-axis. Find the volume of the r...

A: Given query is to find volume of the solid generated.

Q: If F(x) is an antiderivative of x² + x1, then what is the value of F(1) - F(-1)? (А) 3 В) о c) -1 D ...

A: We have to find derivative

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: What type of solution(s) would you get from the equation below? 2x2 + 6x – 1 = 0 O 2 real solutions ...

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Q: The radius of a cylinder is increasing at a rate of 1 meter per hour, and the height of the cylinder...

A: Given; dr/dt =1, dh/dt=-1,r=5meters,h=8meters.

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: Find the area of the region bounded by the curve y2-4r and the lines x = 1 and x = 4.

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