Se²(x² + 2x dx by using the integration by parts. Q4 Evaluate ,2x

Q: [3tan(x)² dx 2

A: Concept: Integration: The Sum of discrete data is denoted by Integration. The integral is calculated…

Q: Evaluate using integration by parts or other techniques of integration. 2 9x √x² e ³x dx fx² e ³x dx…

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Q: Q2.Use Triangular method of integration, find the integral f dx. √√x²-9 5x4

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Q: dx 4 + x2 Use integration by parts

A: We have to use integration by parts .

Q: x? dy dx by reversing the order of integration. 4/x Evaluate

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Q: Use Integration by Substitution to find | (12(3r + 1)*)dx Use Integration by Substitution to find…

A: This is based on simple integration

Q: 0. Inx dx -2

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Q: 15) S 3x (x³-1)² dx

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Q: 3 xp- r(x – 2) Integrate:

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Q: 1. S(3 – 2x – x*) dx

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Q: 1). § x²e5* dx (Integration by Parts)

A: ∫x2e5xdxIntegrate by parts ∫fg'=fg-∫f'gf=x2,g'=e5xf'=2x,g=e5x5=x2e5x5-∫2xe5x5dxIntegrate by parts to…

Q: What is the value of the integral ∫2−2 max [1,x2] dx ?

A: This question is related to integration.

Q: Evaluate using Integration by Parts. -8x sin x dx + C

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Q: Evaluate with the order of integration reversed..... 4 11: x dx dy

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Q: x2 dy dx by reversing the order of integration. 4/x 1. Evaluate

A: Given double integral is∫14 ∫4x4x2 dy dxNow , By interchanging the integral we have ,∫y=14…

Q: Jxe* dx 3. х se³* dx

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Q: lex-25 dx

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Q: Evaluate the integral. (Use C for the constant of integration.) (x6 − 6x2)4(x5 − 2x) dx

A: From the given problem:   I=∫x6− 6x24x5 − 2x dx...(1)   First simplifying:…

Q: Q3) Reversing the order of integration 2 y² sinxy dy dx

A: Explanation of the solution is given below...

Q: Solve fx² In(x) dæ using Integration by Parts. Use u = In(x) and v = x?. Answer:

A: Topic = Integration

Q: 2x2 dx 5 – x²

A: Given - ∫2x25 - x2 dx To find - Find the integration using substitution u = 5 - x2

Q: 2x dx by taking n = 4 1+ x Use trapezoidal Rule to evaluate

A: trapezoidal rule

Q: Using Variations on the substitution method Find the integral

A: To evaluate integral ∫xx+1dx Let x+1=t Differentiating both sides with respect to x,…

Q: (y5 – x²e») dx dy -11-3

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Q: Find the integration by using substitution method. 2 dx x² - 6x + 10

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Q: 2 3 хе dx

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Q: Integrate using an appropriate integration technique. c) ⌠ [2,−2] dx/4 + x2

A: Given query is to find value of  the integral.

Q: Using integration by parts, the integral Vx In x dx equals:

A: Given ∫1ex lnx dx To evaluate integral using by parts rule

Q: dy )"ح.

A: To solve the integral using the integration by parts: ∫y2·eydy Solution: Integration by parts states…

Q: dx 15. S (x²+36) ³/2

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Q: S x² e¹x dx

A: EVALUATE USING INTEGRATION BY PARTS  For the function x2e4x .

Q: Evaluate using Integration by parts. ∫e4x cos(2x)dx

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Q: Integrate by parts: 7x In(x²) dx 2

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Q: Solve by integrating factors found by inspection: y (x2 - y2 + 1)dx - x (x2 - y2 - 1) dy = 0

A: To solve: y(x2 - y2 + 1)dx - x(x2 - y2 - 1)dy = 0 ⇒yx2 dx- y3 dx+ y dx - x3dy +xy2dy +xdy = 0

Q: Evaluate with the order of integration reversed..... -√4-y x dx dy

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Q: Q1) use two method of numerical integration to approximate x*cos(x²) dx , n = 8 And compare the…

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Q: (a) Evaluate xe* dx using substitution method. (b) Evaluate | 6xe* dx using integration by part…

A: We will find out the required value.

Q: 2x dx by taking n = 4. 1+x Use trapezoidal Rule to evaluate

A: on solving this we get

Q: Find the integration by using substitution method 2 dx x² - 6x + 10

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Q: 2х — 1 - dx 6х + 18 x² -

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Q: Evaluate the ∫ from 0 to 1 of xe−2x dx using integration by parts

A: Given, I=∫01xe-2xdx

Q: t of integration.) dx 5 + v2x

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Q: V9x² – 5 - dx . .2 fact to determine the integral 9x?

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Q: What is the value of the integral ∫2−2 max[1,x2]dx ?

A: Value of the given integral is 2x [1- ((x^2) /3) ]

Q: 1 dx J (V1- x²)³

A: Given: ∫11−x23dx Let I=∫11−x23dx Assume x=sint ⇒t = sin-1x Differentiating both sides will give…

Q: Evaluate using integration by parts or substitution. 2,2X dx

A: ∫x2e2xdx

Q: The most convenient way to evaluate A True B False S 2x-3 x²-3x+5 -dx is use Integration by Parts.

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Q: 34. e4x cos 2x dx

A: Solution:Given∫ e4x cos 2x dxFormula:∫udv=uv-∫vdu∫sin ax dx=-cos axa+C∫cos ax dx=-sin axa+C∫eax…

Q: 4/x e dx 4 2.

A: The given integral is Apply the method of substitution Let Therefore,the limits also get changed…

Q: Ĵ3xco0s(4–x²)–8xV4-x° dx

A: