J(1+ sin x) °cos x de A x+ sin x + (sin x)4 +C (1+ sin x)*+C B C sin x + ( sin x)4 -+C D 1+ sin x)*+ sin x +C

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A: The objective is to evaluate the integral.

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Q: dx 4+e A 4+e B 4e*+1 E None Question 12 sin'ydy 1+ cosy A 1+cosy B 1- cosy siny sin3y

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Q: Let u and v be functions of x. Then J (u-v)dx is equal to ux – vx +C dx

A: Topic-:- integration

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Q: (Inºx– 3lnx) +dx A Inx B Inx In'x (D In°x – 3lnx (E) Inºx- 3 (F) None

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Q: Which of the following integration expression can't be transformed into integral of power 2dx A 4+3x...

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Q: メT 2. 5+x of

A: The given integral is; 1/(5+x2).

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A: Given that        f(x) = (x3 - 1)/(x2 - 1)  Here we have to find            limx--&gt;1 f(x) .

Q: x²dx 5 + + x2

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Q: cosh In(x) y%3= VII. xp: If u is a function of x then what is u? u-f(x) A.In(x) du is equal to? A.2x...

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Q: V. 49+x2 16. F(b) is equal to? 28-7pi A. 7pi-28 B. 4 4. 17. F(a) is equal to? 28-7pi A. 4. 7pi-28 B....

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Q: X x²dx 5+ x2

A: Find the integral

Q: C -dx(use 2 decimal places, no 5+x Let * = 2.06, and y = 1.32. Determine the value of when you evalu...

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Q: cose Evaluate the integral: - de. 4- sin?e -ain (an)•c (sin (A) B None of the given choices © Sin-(글...

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Q: Suppose that the cost (in dollars) for a company to produce x pairs of a new line of jeans is C(x) =...

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Q: Solve the initial-value problem starting from y0 = 10. dy dt = −6y y =     At what positive time doe...

A: We need to solve the given separable differential equation

Q: Evaluate: [Vx+ sin/X d. A 2x+ cos/x + C 2 (B) x- 2cos/x + C 2х- cos/x + C 2 D x+2cos/x+C E None of t...

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Q: 4. (D² +D-1)² y =0 ,when x= y = 0, y' = y" =1, y" = -1

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Q: In the integral, cos?rsin2tdt , the correct u using general power formula is;

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Q: 2w2+9w+1 -dw is the same as w +4 5 dw w+4 A 2w +1+ 2w – 1- 3 dw B w+4 2w +1– 3 dw w+4 67 dw w+4 (D) ...

A: We have to choose the correct answer from the given options according to the given information

Q: A body moves on a coordinate line such that it has a position s= f(t) = ? - 7t + 6 on the interval 0...

A: Given , S =f(t)=t2-7t+6 and interval 0≤t≤6 Formula: Average velocity =[ f(b)-f(a)]/(b-a)

Q: IV. sec (3x) tan(3x) 12. Value of "F(b)" D. 1 A.0 Value of "F(a)" A.0 B.-2/3 C-2/3 13. B.-2/3 C-2/3 ...

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Q: To evaluate the integral expression / sin-(Vx)dv, using simple substitution dv =f (x) dx_ Determine ...

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Q: d 10(X (x) + tan (x*)) = dx

A: Solution:

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A: Let y = mwhere m = constant

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A: topic - indefinite integral

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Q: sin In 4+tan cos-dx 4+tan-Icos- 2 1+ cos 2sin In4 4+ tan cos- dx A 1+cos 4+ tan-cos- 2sin-In 4+ tan-...

A: To rewrite the given integral so that the integral can be evaluated easily. ∫sin x2ln24+tan-1cosx2dx...

Q: If (Mesin(2x) dx = eSin(2x) + C, then the M is equal to-

A: We will differentiate both sides w.r.t 'x'

Q: Which of the following indefinite integrals will result to logarithmic expression? 2 (2x +7)2 B None...

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Q: (cose+ tane) de / (sece + tan@sec2e) de cos e COS True (B) False

A: We have to find out

Q: 3 Find the Taylor Series of sinnx centered at 0.5 and x = 5

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Q: Which of the following integration expression can be transformed into integral of power (Choose 2) 5...

A: Solved below

Q: 3 + 2xCoS (x) Aト 3x-5xe^

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Q: Evaluate: J(3x + 1)2dx (Зх+

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Q: The coefficient of sec(x) S(tan(x) – sec(x))²dx ; evaluated is Blank 1 (use number, no space) when w...

A: Solved below

Q: To evaluate the integral expression sin -"(Vx )dv, using simple substitution dv=f(x)dx. Determine th...

A: Please see the below picture for detailed solution. 

Q: d -n (-u) + C If u <0, then u (A) True B) False

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Q: 4 x2 + 4

A: We have to find out the antiderivative

Q: f [Mesin(2x) dx = e$in(2x) + C, then the M is equal to- If

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Q: Which of the following integration expression can be transformed into integral of power 2 dx (A) 1+4...

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Q: Vミ-2 lim ミー→4 -4

A: Let, L=limz→ 4z-2z-4Rationalize Numerator L=limz→ 4z-2z-4z+2z+2 L=limz→ 4z-4(z-4)(z+2)L=limz→ 41(z+2...

Q: IX. E sin (2x)dx by using walli's formula. a is equal to ? A.0 29. B.1 C.2 D.pi/2 The definite integ...

A: Applying Wallis Formula. 

Q: Vx+4 -3 3. Evaluatelim Show your complete solution. x-5 x-5 x-1 4. Evaluatelim Show your complete so...

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