Q#2: Find the Numerical Integration of Jo xe2*dx with 1 step size.

Q: Q5) Find the integration by using (by part method): Se3x sin X dX

A: We can solve this using part method

Q: The result of the integration sign(t-t)8(2t - 1)dr is 1 A. B.sign(t -) C. 5(2t+1) D. sign(t +

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Q: 2. Given So S√x y² +8 dydx. Reverse the order of integration and evaluate. Draw the

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Q: 3. Solve the following equation using the determination of integrating factors. 1. y(2x – y + 1)dx +…

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Q: (2a+1) 5. S -dx (z+2)*(x–1)*

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

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

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Q: t2 +t dt 2

A: ∫t2+t2 dt

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

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Q: Q1 It represents the integration factor of the equation y (2xy +1)dx +x (1 + 2xy -x'y')dy = 0 a Jas…

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Q: Q1) use two method of numerical integration to approximate x?cos(x?) dx n = 8

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Q: T/2 (T/2 S" S" y sin 2x dxdy

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Q: 2x dx ex+3

A: ∫e2x dxex+3

Q: Calculate the integration from the following figure y 2 y=x-4 A

A: To evaluate the integral for the region shown

Q: -0.8 If y = S° 0.2 + 25x – 200x² + 675x³ – 900x* + 400x5. | Find the integration analytically.

A: We’ll answer the first part of this question since due to complexity. Please submit the question…

Q: Q2: Find the integration by applying substitution method: 7 dX (X - 1)VX- 2x - 48

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Q: Solve the ODE by y Integration a. = 0

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Q: Solve f(x) Sin e* (4 nodes) Using Gaussian Integration (Numerical Methods) [ f(x) dx

A: Given function is f(x)=sinex We have to calculate ∫-11sin(ex)dx Formula for 4-point gauss quadrature…

Q: 1) I = S(x² + 2x) cos x dx %3D

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Q: Q1) use two method of numerical integration to approximate |x*cos(x?) dx n = 8

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Q: 1 x 5xy dy dx 0 x2 ate the double integral.

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Q: It represents the integration factor of the equation y (2xy +1)dx +x (1+ 2xy -x'y'dy = 0 al Jusi…

A: Given

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

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Q: Question 3 Using appropriate rules of integration, find S V1 + t² t5dt.

A: ∫xndx=xn+1n+1+C

Q: 5. – 3t te dt

A: The given integral is: I=∫t e-3t dt

Q: dx OFind the integration: XV4X-1

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Q: Q1 (a) Evaluate the integration of the following functions: (iii) | (3x3 – 2x 2+1)sinh 2x dx by…

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Q: 4 2x dx J2 x²-1 3.

A: Topic = Integration

Q: Q1: Find 1) e (3 + e6t)2 2) l {e-3t(t + 1)²} t } 3) e- sin 3x dx dt 0,

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Q: Q6: Use classical fourth-order RK method to solve the following problem over the interval from x= 0…

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Q: c) Calculate the integration Y+1 dydx

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Q: 4a 2vax Change the order of integration and evaluate " La xy dy dx 4a 4ax

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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: Calculate the integration y+1 dydx

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Q: Q1: Find the Integration using Gamma Function Method: x*e-3xdx 0.

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Q: Q2: Find the integration by applying substitution method: 7 dX (X – 1)VX2 – 2x - 48

A: Given,             ∫7x-1x2-2x-48dx

Q: The result of the integration sign(t-t)6(2r- 1)dr is 1 А. B. sign(t- C. 8(2t+1) D.sign(t +)

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

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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: X+3 Q4) Find the integration by using: dx J 2x3-8X

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Q: Q5; Use three iteration of Picard's method to solve dy = 3x+ y when x=0.1, given that y 1 dx for…

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Q: Q4: Find the value of integral 1 1 1. 1+x4 1 V1–x²dx 1 cos(x + 1) dx 2. 3.

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Q: X+3 Q4) Find the integration by using: J: dx 2x3-8X

A: This question is based on indefinite integral.

Q: Q2: Find the double integration ff (4x + 2)dydx D={(x,y):0<x<2,xẻ<y<2x}

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Q: Evaluate. e14x (e14z +13)² (Note that the constant of integration is already included) dx +C

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Q: (b) 6x Cos dx. (Hint: you might need to use integration by parts several times.

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Q: 3 9 a) Change the order of integration and evaluate: S [ dr dy 0 0

A: As per our company guidelines we are supposed to answer only first question. Kindly repost other…

Q: a) Solve the integration by parts [cos(x)e*dx.

A: We need to solve the given integral  This can be evaluated as follows: