II. Perform the integration. sinh? (e¬) dx eª cosh(e-¤) 2 4.

Q: Se6m sin m dm Integration by Parts m3+4m Algebraic Substitution (1-m*)2

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Q: Q3/ Evaluate the integral: TT ° cos(x²)dx dy

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Reverse the order of integration in S S(2xy + 1)dxdy and then evaluate.

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Q: Solve the initial value problem dy (x? + 4) + 3xy = x, y(0) = 1. dx %3D

A: Consider the initial value problem x2+4dydx+3xy=x,      y(0)=1

Q: Q3) Reversing the order of integration f 2 y? sinxy dy dx

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Q: Evaluate the given integral. 1. sin y dy dx 2y

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Q: Q5) Find the integration by using (by part method): S e3X sin X dX

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Q: a) If | f (x) de f(x) dx = 2, find 1 (3f(a) – 1) de. = 7 and || - /4 (b) Estimate the value of the…

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Q: Q3/ Evaluate the integrations: Seax cos (e*) dx. A)

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Q: Determine the approximate integration of the following using simple & modified trapezoidal,1/3…

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Q: Evaluate (3 t + 5) cos () d+ using integration by parts .

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Q: Using an appropriate substitution, 3 the integral S dx equals: /1-4 (х-1)2

A: Here we have to evaluate I=∫31-4(x-1)2dx

Q: Let x~B (mp) Find E (x') Metho d Moment ?

A: From the given information, X~Bn,p The probability mass function is, PX=x=nxpx(1-p)n-x,…

Q: 3. Reverse the order of integration in S(2xy + 1)dxdy and then evaluate.

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Q: S e6m sin m dm Integration by Parts

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Q: (B) Use Tabular integration to evaluate the following: - f(t³-4t² + 5t + 32) sin(t)dt

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Q: Q₁: Evaluat the integral:- 플 S S. sec (cosx) dx dy Sin y

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Q: Q2. Evaluate ( (9-z²) dV R where R is the solid hemisphere メキリ+2-2つty:4,Nwo b. Obtain the the…

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Q: dx e2a +5

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Q: Find the complimentary function and particular integral for (D² – 5D+6)y = e2x cos(2x).

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Q: Evaluat the integral:- 푼 is S. sec (cosx) dx dy D Sin y

A: Here, to evaluate: ∫01∫sin-1yπ2sec2(cos x) dx dy So, the region of integration is bounded by the…

Q: Q1/ Evaluate the integral: -За (2уах 3a dy dx x2 4a by changing the order of integration.

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Q: Find the following double integration? x² y dx

A: Double integration problem....

Q: What is the particular integral of the equation (D 2+9) y= x Cosx?

A: Use basic properties and formula, get PI of given equation.

Q: e dx (1) S. 1-e2x (integration by substiution)

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Q: 1. Evaluate the following integrals. ? cos(r) dt а. Зx2 — 1 dx b.

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Q: Evaluate the given integral. sin y dy dx 4y

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Q: Solve the integral: dy dx. x2 H/4

A: To solve: The integral ∫141∫x2xxydydx. Formula used: ∫xndx=xn+1n+1+C Here, C is constant of…

Q: In'(r) da. integration by parts (a)

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Q: c) Calculate the integration Y+1 dydx

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Q: Q₂) Compute Z² dz along the straight line from (0) to (4 + 4i), then verify your result by using…

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Q: Find the differential and evaluate for the given a and dæ. sin(5z) 1 * = -T. dx 0.75 %3D dy Preview

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Q: Evaluate the following by changing the order of integration: 4 4 cos(y²) dy dx. 2.

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Q: (1+ 1)? dt =D t3

A: Given : ∫1+t2t3dt

Q: 24 Change the order of integration and evaluate dx dy. y²

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Q: d 2x Le arctan t dt dx

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Q: What is the integrating factor of (r + y) dx = rydy = 0 ? ipha O e

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Q: 2-r Change the order of integration and hence evaluate dy dx 2 + y?

A: To solve this problem. first find the region of integration by drawing the region and then change…

Q: 3 x2 Calculate the integral: dx V5 + a?

A: Given,          ∫3x25+x2dx

Q: Si (e0.5x +sin2x)dx, use n = 4

A: Solution

Q: Find the value of integral | (22 + y² + 2)ds, where C is parmeterized by F(t) = (cos(4t), sin(4t),…

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Q: determine an integrating factor for the given DE? (−xy sinx + 2y cosx) dx + 2xcosx dy = 0

A: we have to find the Integrating factor of the given differential equation

Q: Q3/8- Using Simpson's rule ,choose the correct integration value of x* +5 ,with width = 2? =1030…

A: By Applying Simpson's 3/8 rule.with widht =h=2

Q: Exercise: Answer the following by finding dy/dx. 5sin-lr cosh x (a) y = Vsect x + In 7 4 (b) + In y…

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Q: (b) Evaluate the integral | xe * dx. (1- x)?

A: Given : The integral is ∫ xe-x (1-x)2 dx .

Q: 10 cos(x) Evaluate the improper integral: / dx Vsin(x) а) 30 b) O20 40 c) 3 d) Odiverges e) 10

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Q: 1. Perform the integration. Show all necessary solutions. 8t² + sin t sint + cos ty dt co t

A: Find your answer below

Q: The integration A. 114 Β. π C. 0 D. 1/2 Z|7 sinc(4nt) dt has the value (hint:use the FT)

A: Given integral is ∫−∞∞sinc4πtdt. We have to evaluate the given integral. Here, ft=sinc4πt. Now, for…

Q: Find the total differential. w = e7Y cos(4x) + z7 dw

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