.5 If f(x)dx 4 and | f(x)dx =7, then f(x)dx = %3D

Q: S(x*+1)(x* + 5x)'dx 11.

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Q: -3 S x(3x – 1)® dx

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Q: (e + x + 2)dx 3.

A: The sum rule for integration states that ∫fx+gxdx=∫fxdx+∫gxdx. The integration formula for…

Q: 1. ff(x) dx + f(x) dx = 2. f f(x)dx - f₁² f(x) dx = 3. ff(x) dx + f₂f(x) dx =

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Q: S (x5 –x³ – 6x) dx is the same as x²+2 A В (x³+3)dx 4x dx x2+2 D +x-- 8x dx x²+2 E F None

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: min J =Dx{ + x를 + xg || Jx1+ x2 + x3 = 10 St X1 + 2x2 – x3 = 2

A: To optimize ( maximize / minimize ) f(x,y,z) , subject to g(x,y,z,)= k and h(x,y,z,)= c Solve the…

Q: 3. What is Se3x dx?

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Q: 2. | csch´x coth x dx

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Q: e 3x dx ex-1 X .

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Q: s(x+h)-(x) for: Find the 1. f(x)=x² - 5x-1 =DX 2. f(x) 3. f(x) 3 5x—2х?

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

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Q: 5) Find the range of values of x for which given function is decreasing dy = 4x dx 10

A: We will find out the required value.

Q: 3 S ƒ ³√x² – 2x(x − 1) dx x2

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Q: S(x + 1)e*dx

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: S(x - 2x –1)dx – 2x-

A: In integrate by using formula for general case.

Q: Given the following find the rate for change between 4 and 7 of  f(x)=3x+2

A: To find rate of change between 4 and 7

Q: x+1 dx x* +6x S(Nx3- 5*) dx

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Q: 2 S(4x3 + )dx x+1

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Q: 13. S: 5x dx x5-3

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Q: Suppose that f(x) dx = 2. Calculate (5f(x) + 4) dx-

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Q: S csch-x coth x dx

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Q: 4. [csch(x)] = -csch(x) coth (x) dx

A: we know thatdifferentiation of cosh(x) is sinh(x) and vice- versa

Q: 8 Suppose [g(x)dx =5 , and [g(x)dx =-3 , find the value of 2g(x)dx 8

A: We have to find the value of integration.

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: a. S f (x² - 2x + 1) e²x dx

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

A: Definite integration

Q: -1 | In(-x)dx -7

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Q: he crash risk of an intoxicated driver relative to a similar driver with zero blood alcohol is R(x)…

A: R(x) = 51500x4.14 + 1.09  x = 0.08 dx = Δx = 0.006 R(x) =R(0.08)=2.6

Q: 3 d. S16 – 3x| dx 1

A: We have to solve given problem:

Q: 4 S. x* - 6 dx = 14

A: Let, I=∫x4−6x14dx ⇒I=∫1x7x4−6dx ⇒I=∫x2x71−6x4dx ⇒I=∫1x51−6x4dx

Q: 1 The value of f|5x – 3|dx is

A: Integration of the absolute valued function

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

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Q: 1. F(s) = 2)

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Q: 5 (b) f(x) dx 7 (с) f(x) dx 6. (d) f(x) dx

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Q: Q3. Evaluate S 2x+1-5x-1 dx 10*

A: Given that ∫2x+1-5x-110x dx evaluate the integral

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: 3) S e2x cosh(x) dx

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Q: 4. S(x + e*)²dx

A: ∫x+ex2dx

Q: 3 S Inx dx 1

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Q: S(x² +8√√x + 3e* ) dx = 2

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Q: x/l+x dx 3.

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Q: x*dx 3. S x2-1

A: use a partial fraction to solve the integral.

Q: 1. S(x* - 5)'x² dx

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

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: y=In [e 7* (x° + 5) (x³ + 8x)] d [In [e 7* (x³ + 5) (x° + 8x) ]] = ] dx

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Q: S x(1 + x³)"'dx

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Q: 13. S 5x dx x5-3

A: To integrate ∫5x4x5 - 3dx

Q: m d 4. f(x) = ln 3/4-x x-bf + bf)

A: ddx9+9-x

Q: 8) ff(x)dx; f(x) = 1 + 2cosx, ((²7) x + 1, sxs" TC < x≤ π

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Q: • S X √x²-4 dx

A: