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Q: i=| .neN' JSI E (4i +1) = 2n² +3n +1 (2) i=1

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Q: nction 'a' is 1+eaz at its pole

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Q: 2. 1= j tan(4x³) ,sec²(4x²)xdx dx 1- I=31-2x) (In( 5. I= 3. 1= ftan? (3x) sec? (3x)dx

A: Here we have to find the value of the following integrations. Note :   As per our company guidelines…

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A: Using Washer method, we find the volume of revolution of the given region. The formula is for the…

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A: We have to evaluate ∮Csinh3z+1z2−5z+6dz, where C:z−2i=1, counterclockwise. Cauchy Goursat theorem:-…

Q: 5] y=1+2x6 – 4x² – 2x6 - Standard Form: Degree: Sign of LC: as x→-0, y→ as x0, y→.

A: Solve the following

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Q: 2. Find the principal value using De Moivre's Theorem: |20 3 2ez

A: We know that,  eiθ=cosθ+isinθ De-Moivure's theorem:  cosθ+isinθn=cosnθ+isinnθ

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A: We have to prove

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A: We have to find the degree and sign of LC and find endpoints.

Q: 5) -6 = -sec 0 – sec² 0 – 4 %3D TT 5T A) { 3 2n 4T B) (0, 프, 3' 3 3.

A: The given equation is -6=-secθ-sec2θ-4. Simplify the given equation as follows.…

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Q: eiz-e-iz 1. Show that Sin z 2i

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A: We have to solve

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A: To evaluate ∫sec2-xtan2-xdx

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Q: 2In|tanh(0.5x)| + C 4tan-le0.5x + C E 21n|csc(0.5x) + cot(0.5x)| + C

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Q: 1 Integrate (i) 1+25cos x

A: We have to integrate

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Q: 1. y= 4+ sec 3x 2. y= 2 tan 3. y= cot(x +)

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Q: Date Page. QMle cylindaical coordinatu te evaluate and Jy x:18-14y-472 th x=2 and z>O

A: Solution is given below:

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Q: **(sec! I tan /)i + (tan /)j (2 sın cos r)k di tan 7)j 50. sec i tan 7)i 0.

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A: we have to derivative

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Q: cos 3z 3 cos 2z cos z = 2

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Q: S(sec z tan z – 3z²)dz -secz – z³ +c sec z + x³ + c sec - * +с tan z + 1³ + c O - sec z + z° +c

A: Use integration rules

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Q: tan" -1 I# Z-X FEMD fyx At (-,1).

A: The solution for the above question is as shown below.

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Q: 6 ý x In x=y 2/y-1 (も 2y=y cotx

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Q: 7. (3 tan x 1 - 2 cos y) sec² x dx + tan x sin y dy = 0. ANE cos y tan² y ton3 y L

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Q: tan x sec xdx = (sec x) * - (sec 2)* +c 10 음(tan x) 을(tan z), +c 10 None (tanx) + (tan x) +c 금 (sec…

A: Given:⇒∫sec4x*tan(x)3dxWe know that sec2x=tan2x+1⇒∫sec2x(tan73x+tan(x)3 dxSubstitute u=tan(x) →…

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A: In this boundary value problem we use the separation variable  we assume the form,…

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Q: tan (z) sec (z) sec" (z) dz is equal to: Scos (2) +C -3sec" (2) +C tan (2) sec (z) O 3se" (2) + C…

A: