Find the points of discontinuity of the integrand on the interval of integration, and use area to evaluate the integral. 8) 2-9 dx X+3 -8 A) 3, 8 B) -3, -13 C) -3, 8 D) 3, -13

Q: Evaluate the integral using integration by parts with the indicated choices of u and dv: -5t sec²(t)…

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Q: Q:- find the mass of the plate that bounded between the 2X 12 and the x-aris. if the plate densily…

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Q: The region of integration in the integral 2x So So a f (x, y)dydx is rectangle Select one: True…

A: The region of Integration in the integration in the integral  ∫02 ∫02x F(x,y) dyd2  is a rectangle…

Q: Calculate the integral of f(æ, y) = 10x over the region D bounded above by y = x(2 – x) and below by…

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Q: Find what value of c does ∫∞7c/x^3dx=1 (integral is from 7 to infinity)

A: find what value of 'c' does∫7∞cx3 dx = 1taking integration on left sidec x-3+1-3+17∞   = 1c -2(x2)7∞…

Q: Evaluate the integrals in Exercises 25–30 by using a substitution prior to integration by parts.…

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Q: Use a double integral to find the area of the cardioid r = 5 – 5 cos 6 -

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Q: Calculate the Riemann sum of the integral using the given value of n. (2x- 1)dx, -4

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Q: To obtain an O(h) approximation for an integral / using Romberg integration, we start by…

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Q: Evaluate the integrals in Exercises using integration by parts

A: We know that, Integration by Parts is a special method of integration that is often useful when two…

Q: 3. Compute , xe*ydA where R is the rectangle 0 <x< 1,1< y< 2, using iterated integrals in both…

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Q: Make a substitution to express the integrand as arational function and then evaluate the integral.

A: Consider the integration as

Q: Rewrite the iterated integrals in the order dydzdx 11-z- 1-z SS S f(x,y, z)dxdydz

A: Let's find.

Q: Apply Green's Theorem to evaluate the integral P (3y2 dx + 3x2 dy), where C is the triangle bounded…

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Q: Evaluate the integral using tabular integration by parts. |2 V2r +1 dr = V2 x +1 dx +C

A: First integrate root terms separately as I have done step by step with all explanations...hope now…

Q: Calculate the integral of f(x, y) = 9x over the region D bounded above by y = x(2 – x) and below by…

A: We will evaluate the given integral over the region D.

Q: Which one of the following integrals reverses the order of integration f (x, y) dydx? al

A: For changing the order of the given integration: if we are given that the limits of independent…

Q: Apply Cauchy integral formula to find the value of the integral ſ. AG-DE dz; where C: |z| = 3. 2z-1

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Q: Which one of the following integrals expresses the double integral 2y 3 3-y I f(z,1)dzdy + f(x,…

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Q: Obtain the moment of the area generated by x = 2a, bounded by x =y and x2 = 2av.

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Q: Evaluate the integration: r sin(20)drd0 Over the area in the first quadrant bounded between two…

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Q: Compute the integral of f(x) = 0.4 – 2x² + 40x5 from a = 0 to b = 0.8 using i. Trapezoidal Rule with…

A: Numerical integration

Q: Evaluate the integrals in Exercises using integration by parts.

A: Integration of a function is the process of finding the anti-derivative of the function. The…

Q: Sketch the region D of integration, and then evaluate the integral by reversing the order of…

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Q: Find the value of c and they give an interval that satisfies the mean value theorem of integrals

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Q: Sketch the curve ĕ= E Set uf, buz de not evaluale, an integral for the are- length of the Rurve from…

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Q: Rewrite the iterated integrals in the order dzdxdy 1 1-x² SS S f(x, y, z)dydzdx 1-x 0 0

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Q: DEvaluate the double integral x cos y dA, where D is bounded by y = 0, y = x², and x 2. %3D

A: Integration of cos(x) = sin(x) Integration of sin(x) = -cos(x)

Q: Calculate the integral of f(x, y) = 10x over the region D bounded above by y = x(2 – x) and below by…

A: We will find out the required value.

Q: Evaluate the integrals in Exercises 45. tanh dx 46. coth de

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

Q: 14 Find the integrals using integration by parts. -2 b. JVF In Vxdx a.

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Q: Reverse the order of integratlon and then evaluate the Integral 10Tin6 Jinu! dx dy 9/10 et2

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Q: Make a substitution to express the integrand as arational function and then evaluate the integral.…

A: Given: ∫x3x2+13dx

Q: Evaluate the indicated line integrals in the complex plane by direct integration. Siz dz along the…

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Q: Calculate the integral of f(x)=x* from a=0 to b=1 by using - Multiple-application trapezoidal rule…

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: 2) Sketch the region in the plane over which | | V1+x°dxdy is evaluated, then evaluate the integral…

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Q: Evaluate the integral using integration by parts. Scot-¹(8y)dy 1 Scot ¹(8y)dy = -x In (cos (6y)) + C

A: The given integral,       ∫cot-18ydy

Q: Evaluate the double integral. 7x cos(y) dA, D is bounded by y = 0, y = x², x = 5

A: Given ∬7x cos y dydx , y=0 ,y=x2 , x =5

Q: Consider the integral 2° In(z) dæ: (x) dx: Applying the integration by parts technique, let and dv =…

A: Topic:- integration

Q: • 2π 0 rieit 20 + reit dt

A: The given integral is                               ∫02πrieitz0+reitdt

Q: Evaluate the integral: (In z)6 dz %3D

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Q: 7. Sketch the region of integration, and evaluate the integral. 22л г JI * zdz d0 dr 0 л 0

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Q: Make a substitution to express the integrand as arational function and then evaluate the integral.

A: Given:           ∫e2xe2x+3ex+2dx

Q: Evaluate the Foll aning integrals a) 32ペ-T Ax b) CSCXXX -1/4 TY3 Sinx よ× /3

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Q: In The value of the definite integral flm 12 √ex - 9 dx is in the form F(b) - F(a), where a JIn 9…

A: To evaluate: ∫ln⁡9ln⁡12 ex−9dx Let I =∫ln⁡9ln⁡12 ex−9dx Given: ∫ln⁡9ln⁡12 ex−9dx = c3-dπ Let ex−9=…

Q: Use the substitution formula to evaluate the integral. the integral from 0 to 1 (8y^2-y+1)^-1/3…

A: From the given integral, Let, 8y^2-y+1 = t ----(1)Now differentiating (1), 16y -1 dy = dt32y -2 dy =…

Q: Choose five other iterated integrals that are equal to the given iterated integral. '2 f(x, y, z) dz…

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Q: 7. Sketch the region of integration, and evaluate the integral. 2 2x. JI zdz de dr .2

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Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.