integral u du formula answer dx V3 + 2x – x dt VE (t – 9) sec?x V5 – sec²x dx

Q: S Jiet'. dt Hint: use +he fundam ental theorom Find dy if dx y = of Calculus

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Q: foz Evaluate the integral: 5x sec (x) dx +C

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Q: What is the total differential dW given W- In(x+y +z')?

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: V2 Evaluate the integral dx. Va2 +1

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Q: Determine h and N to approximate the integral e-t" dt within an accuracy of G 10-5 using the %3D (i)…

A: ∫01e-t2 dt a) Composite Trapezoidal Rule Error=h2b-a12|''Cn ⇒EnTt≤10-5 calculating the derivative;…

Q: Sev dx (Hint: Integrate by parts with u-substitution)

A: To evaluate I=∫exdx

Q: S2x²e** ax=uv- Jvau -Svau. Sfoxe". Using Integration By Parts, Find uv- Jv du- 3 x² e dx O 2 x3 x3…

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Q: using separation variable 1.) x cos^2 y dx + tany dy = 0

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Q: polar integral rIn 2 V(In 2)²–y² x dx dy c) dx dy

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Q: 4-x? Change the order of integration | | f(x, y, z)dzdydx in the order dydxdz.

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Q: integral of sin^6 y cos^6 y dy

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Q: siny µ(x,y) = ye* is an integrating factor of dy 3D0 2e sinxldx cOsy+2e COSX Select one: True False

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Q: Sxsecxtanx dk=uv- fvau -Svau- O 2x sec x - S2secx a 1 Using Integration By Parts, x sec x tan dx =…

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Q: px+y e- dt = xy %3| dy dx |(x,y)=(0,0) y satisfies the given integral. Find the derivative of y at…

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Q: integral(integral e^(x/y) dy from x to 1)dx from 0 to 1

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Q: = Lasin(t") dt y%3D

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Q: (Integral sign) t cos^5 (t^2) dt

A: Integrate by substitution

Q: Apply integration by parts: S udv = uv - v – S vdu – J sinx + cosX dx e-X + sinx

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Q: Sx sec xtan x dx =uv- Svau- -Svou 1 1 Using Integration By Parts, Find UV- O 1 5X sec 1 × xp. O x…

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Q: Find the total differential. z = x cos(y) - y cos(x) dz = (No Response)

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Q: dx 9. J, 16 Vx - 2 3 10. x V9- x dx 11. [ sinycos ydy dx 12 J. (x – 3) x- x 13. [ x +x

A: Use substitutions to integration

Q: INTEGRATING FACTOR FOUND BY INSPECTION y(x*y² – 1)dx :+x(x²y² + 1)dy = 0 -

A: Given : The differential equation is y(x2y2-1)dx+x(x2y2+1)dy=0. To Find : The integrating factor…

Q: Siny dy = Cas y (l-x Cosy) Cauy) %3D

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Q: integral t 3 et dt

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Q: 1 2 + y? + 1) dx + x(x-2y) dy = 0. %3D

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Q: 2- 3- Evaluate the integrals in Exercises [² dx L₁3 3 dx 3x - 2 dy 1- 2. S sec y tan y 2 + secy

A: We can answer all the three questions as below.

Q: line integral x³ dy), where y is t 3 X counter clockwise.

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Q: Write the approximate change formula for a function z = ƒ(x, y) at the point (x, y) in terms of…

A: Consider the following function: z=fx,y

Q: To integrate x³ exdx'' X we apply integration by parts and in the form u dv, u is set as:

A: To integrate x3ex dx. We apply integration by parts amd in form of udv. u is set as

Q: 2. t23* dt

A: The given problem is solved below in detail.

Q: integral y 3 In y dy

A: Given Data The integral is    Let, Differentiate the function f(y) with respect to y,

Q: Ejercicio. Evalúe [1?+1 dt dx Ejercicio. Derive F(x) = cos t dt 2

A: The objective is to solve the above questions.

Q: Jx cos 3x dx Using Integration by parts, what should be the u and the dv? O u = xdx, dy = cos 3x Ou=…

A: Given : ∫xcos3xdx    To Find : Value of u and v in integration by-parts

Q: Find the differential dy of the glven function. (Use "dx" for dx.) y = 3Vx + dy = Submit Answer

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Q: Determination of Integrating Factors: 7. (2y? + 3xy – 2y + 6x)dx + x (x + 2y – 1)dy = 0

A: To Determine: Integrating factors of  2y2+3xy-2y+6xdx+xx+2y-1dy=0

Q: ntegrating (a) with respect to x and (b) with respect to y. y = Vx, 1s xS 8 (a) Integrate with…

A: we have to solve

Q: Integrating Factor by Formulas: (4) (4xy + 3y² – x)dx + x(x + 2y)dy = 0 (5) y(x + y + 1)dx + x(x +…

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Q: tonomous ODE dy %3D dt

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Q: the Chain Rule to find dz/dt. z = cos(x + 7y), x = 5t5, y = 3/t dz %3D dt -sin 5 + 21 254 21 II

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Q: integral f (z+1) e^2z  dz

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Q: Detevmine the com uergen e the isteguail -3% Xe dx

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Q: Solve using determining the integrating factor: cos x dx + (1 + 2/y) sin x dy = 0. %3D

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Q: integral y sinh y dy

A: Given:

Q: Evaluate the integral. cost dt sin n² t - 5 sin t + 4 Select one:

A: We will substitute sint=x, then we will do partial fraction.

Q: Find the total differential. z = x cos(y) -y cos(x) dz %3D

A: A scalar function f(x,y) is a rule that is used to associate a number or quantity with a particular…

Q: -sin20 B)Evaluate the integrals: i) f/2 sinze rdrde, 0 ii) f/2/2 finx 2² siny dz dy dx. 0 0

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Q: linear integration where product C:y = 2x, 8i Cr²+y)dx + (Zxy +3)dy

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Q: (2х? + у)dx + (x?у — х)dy %3D 0

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Q: 3x + 4 dx. .2 Evaluate the integral J V2 - 2 x a)4 arcsin V2x + 3/2 x2 + C 2 b) 4 arcsin 2x 3/2 x2 +…

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