8. S(x³ + 2x² +x – 5)e2* dx -

Q: ce / √5³² + 25 de -dx Integrate X3 + C

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Q: 2x dx e2* +3e" +2 5.

A: To solve this integral, a substitution of is taken. Then it is differentiated to find the value of…

Q: S(x + 1)(2 – x)° dx 7(2 - x)* - (2 - x)* +c 7(2 - x)* -(2 – x)* +c 3. (2 - x)* +(2 – x)* +c 금(2-x)*…

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Q: 1-7ӕ + 3 | dx 4.

A: To evaluate the integral: ∫1-7x+x3xdx. Solution: Evaluating the integral.…

Q: x2-4x dx 3) S (x+1)(x²+4)

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Q: 1 + e1x+10 + 4" +x – 5) dx + xA 4x-

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Q: 1. 5x²+4x2-5 dx

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Q: S(x + 3)e*+6x dx

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Q: fxe* dx= O a. -xet* 4x 4 16 O b. 4х 4х e 4 16 xet* e4x +c 4 4 d. 4x 4х 4 +c 16

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Q: d/dx [(2x+1)3(3x2-1)4]

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Q: 2. [エ]dz -3

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Q: Find d da [e³²2²] dx 6xe ³x² e ³x² 6x e ³x² 6x (eª) (e³²²) (3x²) (6x)

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Q: 2х -3 -dx. Evaluate(x-2)(x² + 1)

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Q: 4-x2 dx -2

A: The given integral is

Q: 3x+4x+1 6. J x-x+4x-4

A: Indefinite integration

Q: Differentiate. y = In [(x + 4)(3x- 2)(5 – x)] d In (x+ 4)(3x – 2)(5- x))] = || dx

A: We have, It is known that the derivative of ln(ax) is, and derivative of the function of u.v form…

Q: S(3x* – 5xP +x=³)dx.

A: Given query is to find the integral.

Q: S 2x(ex²+1 – 2x*) dx

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Q: 3 What is the value of -8e -2x+1 dx?

A: Consider the given integral

Q: Compute f 3 2 x-5x+6 dx.

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Q: 2x + 3 -dx. x2 + 3x + 4

A: To evaluate the integral: ∫2x+3x2+3x+4dx Evaluating the integral. Let substitute t=x2+3x+4…

Q: x-3 dx V16-x² (16-х2

A: Given,          ∫x-316-x2dx

Q: (2xey + e)dx+ (x² + 1)e'dy = 0

A: We want to solve the given differential equation. To solved the differential equation, initially we…

Q: 1. Evaluate [(2sin 2x+3Tanx – 5 e-5* +4x' -7) dx .

A: Integrate each term

Q: Draw the graph of the following function: 3 when -3<x<-1 f(x)= 3x-3 when 0<xsl — 6х -3 when -1<x<0…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: 17x + 31 -dx J (5х + 4)(ӕ — 5) Evaluate

A: Given,            ∫17x + 315x + 4x - 5 dx

Q: 4x dx (1-x²)³

A: