Evaluate the intergrals. ∫ ex sin2x dx   show the complete solution. step by step

Q: 10 -dx may be written as Aln secB+ tanB"+C, where A, B, and Care constants not equal to zero.…

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A: The given function is y=cos2x To find: y' and y''

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Q: Evaluating √√9-x² dx using trigonometric substitution will lead to: 57/2 A 18 "/2 cos²0d0 35*1/2 B…

A: ANS: B

Q: Jo 17. cos² x sin? x dx

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Q: Find all solutions of the equation in the interval 0, 27). V3 tan 2x – 1 = 0 Write your answer in…

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Q: r2 = sin 20 –3 cos0 %3D

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Q: d²(sin? 3x) What is the value of ? 39 - dx Ix=7 A) 18

A: Formula used - d/dx (sin x)=cos x cos 6pi =1 2sinxcosx=Sin2x

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

A: The given integral,         ∫10xcos 10xdx

Q: Find all solutions of the equation in the interval [0, 2n). (2 sinx- 1)(2 cosx+ 1)= 0 Write your…

A: Given :  ( 2 sin x -  1 ) ( 2 cos x + 1 ) = 0  Find all solutions in the interval [ 0 , 2π ) .

Q: 2- 1- 3一寸

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

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Q: V sec?e +tane – 1 -de | Evaluate 1- sin?e 2

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Q: Does this equation hold? eir + e¯iz cos(x) 2

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Q: Evaluating √9-x² dx using trigonometric substitution will lead to: -3 C=/2 A 18 cos²0d0 (B) 1852/200…

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A: I have stated the used formulas in the solution

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Q: Which one of the following trignometric substitution is correct to solve 7. dx x-49 x=7 sine ; - o…

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Q: az Find az and ду e = 5x 2² + sin(r + 2) – y?.

A: ∂z∂x=52xz2+2x2z∂z∂x+cos(x+z)1+∂z∂x…

Q: theerem 3 2tt sine = S. I = do; a>l. anse 2T (a- Ja?) %3D a+ CEsO

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Q: sin x (cos x + 4) dx 1+cos?x

A: Solution:

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Q: P=15 sin(2pi(t))+100 models the blood pressure, P, where t represents time in seconds.  what are…

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Q: Find all the solutions of the equation in the interval [0, 2pi). Write your answer in radians.…

A: Given data: The given expression is -4sin x = -cos2x+4. The given interval for x is [0, 2π].

Q: 8. f(sin3x – cos4x) dx

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Q: Solve the problem in simplest form and complete solution. Find u and du if possible. coss 2x dx |…

A: Given: I=∫cos52xsin22xdx  ...1   We know that; The Power rule: ∫xndx=∫xn+1n+1+C ; n≠-1

Q: Solve the trig equation, and give only the solutions that lie in the interval [0,27). tan4 B sin p-9…

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Q: dx If x2 – 2x – 4 is solved by trigonometric substitution, which of the following substitutions is…

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Q: Evaluating √9-x² dx using trigonometric substitution will lead to: -3 A 355/20 cos²0de 0 **/2 B Ⓒ 18…

A: Evaluate using trigonometric substitution ∫-339-x2dx=?

Q: (1) I= 3 Cos 2x do dx 1+51n2

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Q: Use an addition or subtraction formula to find the exact value of VA(VB + 1) 19 sin 12 4 A В -

A: We are given that., Sin (19π/12) = - [√A(√B+1)]/4 We have to find the value of A and B A = ? B = ?

Q: the solutions to the equation on the interval, [0, 2T): sec 2x csc 2x = 2 csc 2x

A: Important points: 1. sec A = 1 / cos A 2. Range of cosec A is R - (-1,1). 3. If cos θ = cos ∝ then…

Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

A: Given: ∫-11x21-x2dx

Q: Detemine the value OF C IF X=1-co2 and y =1.B9 when you evaeuate Scot"(2x)dx. Cure radiar form Of…

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Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

A: We have to determine whether the statement is true or false. If it is false, explain why or give an…

Q: 7. f sin4xdx

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Q: 4 I sec(ø) (b) p* sin(ó) dpdódo

A: The answer of part b is as below.

Q: The modified Eulerimethad 2 use to solue X 20s y=l Sined y at x=0.l, h=0.02

A: Modified Euler method or Heun's method is another method to solve an initial value problem…

Q: Find all solutions of the equation in the interval [0, 2n). (2 cos x- 1)(csc x+ 1) =0 Write your…

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Q: Given 0 <0 < 2n, solve tan 0 = %3D

A: Here we have to solve,

Q: Solve the given IVP. Write your answer in terms of Sine and Cosine if applicable. y" – 4y" + 29y' =…

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Q: Find all solutions in radians using exact values only. cos? 8x = 1 Ik x = 4 or 7 4 2 TIk + 7 2 Tk =…

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Q: Find d-/dx? at the given point without eliminating the parameter. *=0+cos0 and y= 1+ sin® ; 0 = r/6…

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Q: Determine exact solutions for the equation 2 sin?x- 3sinx +1 = 0 in the interval x e [T, 3n].

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Q: dx If x2 - 2x - 4 is solved by trigonometric substitution, which of the following substitutions is…

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Q: Use the three trigonometric substitutions (if required) to evaluate 5 -dx. Use C for the constant of…

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Q: 1) fo LaVI+y³ dydx =

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Q: Find the smallest positive solution x: (sec(x)+2)(sec(x)+1) = 1 Assume radians

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Q: The solution in detail S tan- (x) dx

A: We use integration by parts to integrate the given function.…