Integrate: / Vx? – 3x + 1 – dx

Q: |(xsin(3x)) dx XS

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Q: Differentiate. y = Jex +8 dy dx

A: The given equation is y=ex+8 To find: dydx

Q: Find the indefinte integral. (2x+ (2x+3)lnx dx'

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Q: dx 3. J TxVx-1

A: the given integral is: ∫dxxx-1 we have to evaluate the given integral.

Q: 5x2 dx et

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Q: Evaluate 11 2 By (+³+1)2 dx dy 24 by reversing the order of integration

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Q: 1 Integrate: dx I V100–49x²

A: Given

Q: 4 (1+2 In x)* 6. J dx б.

A: We have to find

Q: In integrating the function fxIn Sx dr using integration by parts, what would be your du? du = In 5x…

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Q: Describe how to choose u and dv when using integration by parts.

A: There is an acronym called “LIATE”: Set u to be the first function on the list below (ordered),…

Q: Integrate: J [ xe*dx

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Q: 3 хy dx dy 1

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Q: Jxe* dx 3. х se³* dx

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Q: Integrate by parts: Je*sinx dx So

A: The the given integral is, ∫exsinxdx Assume I=∫exsinxdx.

Q: Use integration by parts to evaluate 2x cos (x) dx

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Q: Integrate 7 dx , 1+ Vx+1 3

A: Given ∫07dx1+x+13

Q: Calculate the left rectangle approximation of 3x- dx using five subintervals.

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Q: 20. Use integration tables to find J coox 7sinx + 5sinx + 4 dx

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Q: dx J (3+ x²)3/2

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Q: Find the Integration of 1 dx. (6x+7)6

A: To find: The integral of ∫dx6x+76. Formula used: Integration formula: Power rule of integration:…

Q: evaluate using Integration by Parts.

A: To find the given integral by using integration by part formula.

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

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

Q: Evaluate f x³e2x dx using integration by parts

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Q: Use integration by parts to find S x² In 5x dx

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Q: Va2 – 4 dx

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Q: Use the trapezium rule to find [2" dx taking ordinates with interval 0.25, in three decimal places.

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Q: (x' cos(x')dx = %3D

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Q: 3. ƒ (1−2x)² dx S x

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Q: integrate (2 + x^2)/x^1/2 dx from 1 to 4

A: to find I=∫142+x2xdx

Q: what is the simplification of this integration? ∫dx/(2sinx+3cosx-5)

A: Use sin(x) = 2 tan(x/2) / (1 + tan2(x/2)) cos(x) = (1 - tan2(x/2)) / (1 + tan2(x/2))

Q: 1 1+9g2 dæ| dxl

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Q: Find the intergral of i. SVīdx ii. (x - 1)dx

A: According to Bartley guidelines I have, to solve only first question so repost the problem for…

Q: Find S x cos x dx by using integration by parts.

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Q: Use integration by parts to evaluate the defini 2xe dx = 1.5

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Q: First make a substitution and then use integration by parts to evaluate the integral. dx

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Q: Evaluate by Integration by parts (IBP): 4. x° cos 2x dx

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Q: Integrate J dx X(x-3)

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Q: sinx dx 5+ cor?x

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Q: хр (Vã+1)dx

A: consider  I=∫x+1x6+x

Q: Integrate by parts: ex sin x dx 2.

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Q: Use integration by parts to evaluate the integral: 4xcos(-5x)dx

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Q: calculate the derivative.

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Q: Integrate: xー1 dx 2.

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Q: dx 1+e2*

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Q: 3 3 У(х'у + 2х — у)dx + x (ху — 2) dy 3D 0 3

A: Firstly we find Integrating factor, then find general solution.

Q: In x dx Evaluate

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Q: 2. fx Arctan xdx

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Q: Use Integration by Algebraic Substitution 3 dx x +1

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Q: O Use integration by part ax Cosbx dx

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