2x + 2 Evaluate : sin :Ssi". dx. 4x² + 8x + 13,

Q: What is the (2sec?x – sinx) dx O sinx + 2tanx + c O 2 sinx + cosx + c O cotx + 2 cosx + c O 2 tanx +…

A: The given integral is: ∫2sec2x-sin xdx

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A: Introduction:   A linear differential equation is a linear equation or polynomial with one or more…

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Q: g(x) = 7 sinx, [0, π], 6 rectangles

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Q: (s,+)=(-3,1) X=5?+2+? y= 6st a) 4s x sinly) + 6+x?coscy) at (-3,1) b.) 8tx Sincy) + 6sx? Coscy> at…

A: GIVEN  (s,t)=(-3,1) X=s2+2t2  Y=6st substituting the value of s,t for X and Y we have  X=(-3)2…

Q: 24 dx Evaluate 1- cos (8x) 24 dx 1- cos (8x) | I3D

A: Using trigometric identities

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Q: 6. y= sinx, x=0, and y= |4 -1

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Q: 2- Evaluate sin x dx usin i. Trapezoidal rule ii. Simp

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Q: Q1 Evaluate I, where: I = -3x cos 2x dx

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A: Solution: f(θ)=12cos2θ

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A: Given integral :

Q: | – (3x² sin x + 2) dx In r dx Je

A: Since, you have asked multiple question, we will solved the first question for you. If you want any…

Q: Q3 Integrate using trigonometric substitution: dx I To +x² /9 +

A: Let (x/3) = tant Differentiate on both side  dx/3 = sec2t.dt dx = 3.sec2t.dt

Q: sinx I. dx by using suitable substitution. cosx+5cosx+6 Sx5ex* dx I. S sin²xcos*xdx I.

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Q: tan(x²y) = (x + y)³ %3D

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A: Using derivative to find dr/dx

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Q: 2r sin 1 (r²) d»

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Q: F(r) = 5x sin(/2x) – 3 cos(/2x) +xe³r sin(3x) + 2x ?

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Q: f(x) = (cos x – 3)* + 2x?

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Q: .3 Use Trigonometric Substitution to evaluate: dx 2 |1+4x²

A: This question is based on indefinite integral.

Q: -da 1+sinz Select one: a. -tanx + secx + c b. tanx + seca + c c. tanx – secx + c d. 1-Cosz

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Q: Evaluate and simplify y'. y = V1 - x* + x² sin-'x?

A: Given that y=1-x4+x2sin-1x2.

Q: (b) 는(cosx)=-sinx (d) VI+ tan x 1+* Q1) Show that: (a) (1+x) =1+6x (e) (V): *- () %3D

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Q: /2 Evaluate : | sin x dx. -/2

A: For the detailed solution of the problem follow the next step.

Q: Q1 Evaluate 1, where: -So I = -3x cos 2x dx

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Q: Dsinx-sin3x [3] sin³x = find D and E. %D E

A: Solve for D and E

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Q: tan x 2. (D'+) y %3D

A: We are allowed to solve one question at a time, since you didn't ask for any specific question so…

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Q: 5. y = tan 5x %3D

A: Given that y = tan5x sketch the graph. Here i attached solution of this question.

Q: Q3/ Find ∫ √x * Sin2 (x3/2-1) dx=? (by substitution)

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Q: D Sin 2x 46 4 Sin -3 = -3%3D

A: (a) Given trigonometric equation is: sin 2x = 4 cos 2x We have to find the general solution.…

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A: To find: The derivative of sinπxy=x+y2. Formula used: The power rule of derivative states that…

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A: Evaluate it.     ∫02sin x-xxdx

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

A: A detailed solution is given below

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Q: Q 2. Determine (i) (ii) fe- sin tdt. (iii) dr -2r-7-

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Q: sin 2ydy 5.J7-3 cos 2y 15.

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Q: Evaluate ∫ex cos3(ex) dx using tables after performing the substitution u = ex.

A: We have to evaluate the integral by substitution method: ∫ex cos3ex dx Substituting, u=ex…

Q: (D3 + 2D2 – 16)y = 40e2x + 80 sin(2x) %3D

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