(5)If 3, g(x)dx=5, then 2f(x)+3g(x)dx =. S 25(x) + 3g(x)dx =

Q: 4 4 - If |f(x)dx =7, find the value of 1,2f(x) – 3 dx. 2 2

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Q: 1. S 2x-6 すdx (x-7)5

A: Solution:

Q: –2x x- -dx x2+e-2r A (x-e-2r) x²+e-2x xp- B -2 (х—е -2) x²+e-2x xp- e -2r dx x²+e-2r x²+e -2x D E)…

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Q: x2-4x dx 3) S (x+1)(x²+4)

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Q: 2- e dx 十e X X e dx 2.

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Q: f(x)dx = 2, 5 and 8 f(x)dx = -5, then, 8 f(x)dx = -3

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Q: 2х+3 3. S ·dx (х+1)(x2+4)

A: We have to find the given integral. We will use partial fraction decomposition. We know that-…

Q: 3 S ƒ ³√x² – 2x(x − 1) dx x2

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Q: S (2x² + 1) dx x3 - 3x +2

A: ∫2x2+1x3-3x+2dx This can be written as  ∫2(x2-1)x3-3x+2+3x3-3x+2dx=2∫(x2-1)x3-3x+2dx+3∫1x3-3x+2dx

Q: 5. S(-5x-6 + 10x-11 – 20x-21)(x-5 –x-10 + x-20)dx

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Q: 5. S (3x-x²)dx x2

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: 12. S e 3In(2x-1) 2x - 1 - dx

A: The given integral is: I=∫e3ln2x-12x-1dx   As we know the Power Rule: ∫ax+bndx=ax+bn+1an+1+C

Q: 7. 1 x lnx dx 8. f(x + 1)(2x - 1) dx

A: 7.∫1x lnxdx = ∫1 lnx. 1xdxLet, lnx= y ⇒1xdx = dySubstitute the corresponding values in the…

Q: 2x²+4X+10 2 2- x Ing dx

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Q: a) Evaluate x* - 4|dx and L (x* - 4 )ax. Do you get the same answer for both?

A: Answer

Q: 9. Describe an example that illustrates that If(x)| dx is not equal to |S f(x) dx|.

A: For a function f(x) the corresponding function |f(x)| is obtained by reflecting the parts below the…

Q: 1 2- 1- dx e5x + e-5x x4 1+ x6 e5x e-S dx

A: As per the guidelines we can solve 1 problem only

Q: e,d,g

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Q: x4 – 4x3 + 8x² – 13x + 13 dx - - (x – 1)(x2 + 4)

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Q: 3x2 dx 1. J3-5 2. S 2x dx x2-1 2x-2 3. S x2-2 4. S 5x-6x dx x5-3x2 5. S 10x*+3x*+4x dx 2x5+x3+2x2

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Q: (4) (d) 2-7 dx 4x-2 x²-1 (4) (e) S 7x (4x²+5)3 dx

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Q: 2 S (x² – 4| – |æ – 1)) dæ - 4| – |x – 1|) dx -2

A: Definite integration

Q: X 4. f* - 2x² - 6x +1 2 x² - 2x-8 dx

A: We have to find the integral.

Q: 3 d. S16 – 3x| dx 1

A: We have to solve given problem:

Q: y = In [e x (x° +2) (x³ + 8x)] d [In [e 6x (x5 + 2) (xS + 8x)]] =] dx

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Q: Ò(Éx-13x² +15)dx 6. 7. Ò ()dx 8. Ò x²(3/x+16x-2)dx -x²+1 dx x*. 9. Ò 10. Ò (3x– 2)° dx

A: Answer 6)       I= ∫23x -13x2+15 dx        = ∫23x dx  - ∫ 13x2 dx + ∫15 dx        = 23∫x dx  -13 ∫…

Q: x3+4x+3 4. S- dx x*+5x²+4

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Q: X -2 5. S dx х2 (х — 1)

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Q: 4. S (x-1)(2x³+2x²+3x+2) dx x³ (x+1)

A: The objective of the question is evaluate the indefinite integral.

Q: Find the following indefinite integrals:

A: Now,

Q: 2 S. x*- 4x +4 dx (メ-2)(x4) |

A: Solution: Consider the given integral is: I = ∫x2-4x+4(x-2)(x2+4)dxI = ∫x-22(x-2)(x2+4)dxI =…

Q: Shows : V9x² +25 (12) dx = 3 ln 3x + V9x² + 25 V9x² + 25 + C -

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Q: 4. y = (3x)(3x*-2x³+x²) ; Find dx3 (Higher Order Derivative) x3

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Q: 10. f(3x - 1)(x - 1) dx

A: The given integral is:∫-113x-1x-1dx

Q: 4x2-5х+6, 3. S(*-*+*)d *“)dx x2

A: We have two types of integrals in general, namely definite and indefinite integrals . The definite…

Q: 11x3cos(x2)dx

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Q: 1. S(x* - 5)'x² dx

A: According to our guidelines , we can answer only first question . Kindly re-post other remaining…

Q: .6 6 If | F(x)dx=12, what is the value of | f(6– x)dx?

A: Using property of definite integration.

Q: -1 √ x²(3 – 4x) dx - -4 318 338 358 378 None of the Above 14 √√1 + 7x dx 25 -1 0 35

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Q: [4] s **-2x³-2x x²+1 [4] S² > [5] S dx dx ex-1

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Q: 3x Question 4 Evaluate dx. 4 + e6x 3 Question 5 Evaluate dx. V4 – x2 | 3x Question 6 Evaluate dx. V4…

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Q: 6. Jo ex-3 S dx = 1- e2 – 9 2- e+3 2- e2+3 4- e+2

A: 6. We need to evaluate the following definite integral ∫01e2x-9ex-3dx

Q: find dy/dx.x^-4/4 - x^-3/3 +x^-2/2 -x^-1 +e

A: We have given,

Q: Find (x + 2)e3* dx

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Q: G <-2 1+X 1-X 2 dx 2-X 2+x dx

A: Follow the steps.

Q: (5) f (3x² + 2x)e5+3x dx (6) ſ dx x(3 + ln x)

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Q: e6x (a) : dx 4+ e6x (b) /: dx 4+ e6x 3 (с) dx V4– x2

A: Since you have posted multiple questions i can answer first three as per our company guidelines…

Q: -1 x-x2 dx -8 2도 1423 1521 22 20 Option 1 Option 2 1425 1523 22 20 OOption 3 Option 4 None of the…

A: Given problem:-

Q: 4. S(5x +) dx = dx = 2 5. S- x7 x4- 15x6 6. S (四 극) dx %3D

A: