The integral of the function below may be written as me" sine) + px + qe* + C. Wherg. m,n, p, q,r and C are constants not equal to zero. cos x – esin(x) + esin(x)+x e sin(x) dx Evaluate m + n +p + q + r.

Q: What is the integrable form of sin-cos-sine de? 2 2 (A) - - B -2 sinu du (D cosu du

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Q: cos2x – sin2x cos2x For -dr=-F(x) + C- What is F(x)? cosx - sinx 3 1 (A) (sinx – cosx) - B (cscx- se...

A: We have to find the F(x)  First we have calculate the indefinite integral

Q: Find the area of the region bounded by the curve y=1- -x² and the x-axis. 9 A 8 square units В 4 squ...

A: We have to find the area under curve .

Q: What is the integrable form of dr? 1 -1) du -u?) 2 du 2022-01..

A: Find the integrable form by substitution method

Q: The integral of (10^x/cos 10^x) dx may be written as A ln (sec B^x + tanB^x) + C. Where A, B and C a...

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

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

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Q: S(2- sec?x) eln ale)sec³x sec( 3A – x) What should be the value of A for dr to be integrable using t...

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

A: To find the value of m+n+p+q+r , we need to evaluate the given Integral then compare it with the giv...

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

A: use simple integration formula.

Q: d?y =6- 9x and which passes through the points (0, -1) and (2, 3). dx2 Find the equation of the curv...

A: Given problem:- Find the equation of the curve for which and d2y/dx2 = 6-9xwhich passes through the ...

Q: m,n, p,q,r and C are constants not equal to zero. cos x - esin(x) + e$in(x)+x esin(x) dx Evaluate m ...

A: We will find the value. 

Q: Determine the speed along a parameterized path c(t) (t4, e') at timet = 0 (assume units of meters an...

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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: ((2- sec?r) ! sec(3A – x) eIn (ale) secx dx to be integrable using the formula What should be the va...

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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: 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: If the brakes on a car give the car a constant negative acceleration of 24 m/s2, where k is a positi...

A: Here we applied the motion law  V^2=U^2-2as Where,  U=initial velocity. V=final velocity.   

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: d --x" + -xP +C. a The general antiderivative of (3x2– 4) 2x2 can be written as - m What is the valu...

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

A: Here is the solution

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...

Q: dx For (x+x³) (xtan-1(1) +1) =n(F(x))+C. What is F (/3) if C=0? A

A: Integrate the function to find F(x).

Q: sinx sinx +x The integral cosx - e +e -dr may be written as mensinx + pr+ gerx + C, where m, n, p, q...

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Q: The resulting integral of sin -cos-sino de has the form -F(0)+C- What should be the value of e to ma...

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Q: f (x, y, z) = x4 – 6xy? + 72% - (x, y, z) → (0, 0, 0)?

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Q: t 9dz 9dz The infinity in the can be eliminated by lim (1– 3z)4 (1- 3z)4

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Q: : [ (2- sec?x) lm sec(3A – x) e In (ale) sec3r What should be the value of A for dr. to be integrabl...

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Q: What is the integrable form of dx? u² – 1) ² du – 1) du -u²) ² du 1 du

A: Formula : d/dx (ex ) = ex We can solve the given integral by substituting method.

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

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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: cos2r- sin2x cos21 =-F(x)+C What is Fx)? =xp For COSX – sinư A 2. --cos 'x- cosT+-sin't 3 cos'x sinx...

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

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

A: To find out F(1)-F(-1).

Q: dx Evaluate 3x – 12 O - 00 + 00 1

A: Let's find. 

Q: d²y =6- 9x and which passes through the points (0, -1) and (2, 3). dx2 Find the equation of the curv...

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Q: Question 19 The integral of the function below may be written as men sin(x) + px + qer* + C. Where ....

A: You need to simplify it and then go for integration. 

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

A: Here is the solution

Q: Find the equation of the curve for which =6- 9x and which passes through the dx2 %3D points (0, -1) ...

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Q: Which of the following integrals is equal to the integral / f(3x – 5) dx? 7/3 "s(:) dz 3 -2 2p (2)f ...

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Q: If the brakes on a car give the car a constant negative acceleration of 24 m/s2, where is a positive...

A: we have to use the newtons equation of motion here. let us assume that the initial speed of car be u...

Q: (cos(2x) – sin(2x)cos(2x)) cos(x) – sin(x) For -dx=-F(x) + C. What is F (x)? 3 A (csc(x) – sec(x))3 ...

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Q: 4 dx Evaluate Зх — 12 1 00 + 00 1

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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: cos2x – sin2x cos2x For dr3-F(x) +C. What is F(x)? cosr - sinr 3 2 cos'x+ cosx + A sinx + -sin'x B (...

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Q: b --x"+ -x +C. n P a d The general antiderivative of (3x2 – 4) 2x² can be written as -x' m What is t...

A: Firstly we find integration

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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