If R = {(x, y) : 0 ≤ x ≤ 1,0 ≤ y ≤ 1}, then find (²+1) +2 0 1 arctan O 2√2 3 0 √2 3 O √2 3 (√³/₂2) (+) arctan arctan -arctan 3 (2) dA

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Q: Q. It sin x Cos X XCOS xQ /- sin xd 3.

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Q: for Q4\ Find fo dx 1) y = (x cot 2x) 2)x+4x√√y-5-3

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Q: 4. Evaluate -2π 1 (a) √² indy. (b) fo 3+sin 1 2+cos y dp. (c) f 1 (2+cos y)2 dp.

A: a. The given integral is: I=∫02π13+sinφdφ               I=2∫0π13+sinφdφ               1 Use…

Q: P8: sin x cos x (2 sin x – 1)(sin x + 1)

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Q: Given f(x, y, z) = 4 sin(x + y), find f, -3 -3 and f. -3 2

A: f(x,y,z)=4sin(x+y) we simply replace value of x , y and z

Q: f (x) = 3 sin x + 3 cos x, [0, 27]

A: Consider the function: fx=3sinx+3cosx Differentiate the given function with respect to “x” then,…

Q: Q: Fin dx dfor the following functions: - 1- y = 2cot 2 xcos²(x³+1) V x cos (x+1) 2- y =

A: we have to find the derivative of the following y

Q: 3. Solve the equation: (Dª – 1) y = 0

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Q: 3) fe-2x sin 2x dx 4) J√1 + cos 4x dx

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Q: d x 2. 1+xVI-(Tanin)

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Q: 2 a. (1+5 ln x)³ dx fa+ b. (1+3 tan x)² sec? x dx 2x + 5 dx Vr – 3 2x3 – 5x? + 9x – 4 C. - d. dx x²…

A: Disclaimer: Since you have asked multiple questions; we will solve the first question for you. If…

Q: For F(t) = (3 cost, 3 sin t, 4t) find T,Ñ, and B

A: Given that : r→(t)=3cost,3sint,4t. Therefore, r'(t)=-3sint,3cost,4. So, r'(t)=9+16=5. Therefore,…

Q: dx cot 3x sin 3x -1/3 sec 3x + C

A: ∫dxcot(3x).sin(3x)=∫dxcos(3x)sin(3x).sin(3x)

Q: (22 – 2) | Evaluate dx 2+2 (x4+5x2 +4) tan1 2 A - BI E E E E X O Type here to search 马

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Q: 2 sin(x) – (-v3) = 0 List all solutions in [0, 27):

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Q: |- sinx

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Q: dx √x² + 2x + 2 S₁v - = In(√5-2).

A: