2 + x², -2

Q: ( 2 + x², -2 <x< 0 4 f(x)dx; f(x) = 1 ·x + 2, 1. 0<x< 4 -2

A: ∫ xn dx = xn+1n+1 +C ∫ab f(x) dx = ∫ac f(x) dx + ∫cb f(x) dx , where , a&lt;c&lt;b.

Q: 3. Explain how you could solve the equation In z = 3 using the graph f(x) = ln x

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Q: x²-x-5 x(x²-x-2) Evaluate - dx

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Q: 4 Evaluate f². dx 4-x*

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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: 2 + x2; 1 x + 2, -2 <x<0 1. f(x)dx; f(x) = -2 0<x<4

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Q: .3 y = 2x + 5x from the point (-2,-26) to the point (4,148), you'd have to compute | f(x)dx

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Q: Sketch the graph of the function.

A: Definition used -               The domain of square root function -  We know that number inside…

Q: 2 tanh(x) 2) tanh(2x) (H.W) 1+ tanh (x) 2

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Q: 2x5 – x3 + x +1 -dx - x(x² + 1)²

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Q: .4 -1 sec J2 Evaluate x dx

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Q: x²-3x - 7 √ - (x² + x + 2)(2x − 1) dx

A: Given: I=∫x2-3x-7x2+x+22x-1dx   As we know that; ∫1ax+bdx=1alnax+b+C

Q: V3x-e2x-(x ln x)(ln(ln x))| In(ln x) Given a function, y = dy Show that dx V3x-e2x (x In…

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Q: 2. f(x²+2x-3)(x+1)dx

A: We can find the integration as below.

Q: x²-3x - 7 2 (x² + x + 2)(2x - 1) dx

A: Simplifying the given integrand: x2-3x-7(x2+x+2)(2x-1)=x2-3x-72(x2+x+2)x-12

Q: X1 6. ((-)- f(l)= f(0)=. f(2.5)=

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Q: 2х -3 -dx. Evaluate(x-2)(x² + 1)

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Q: f(x) = 2/(x^2+1) -1  is f(x) continius?

A: The given function fx=2x2+1-1 Since x2+1 is always +ve. Therefore, 2x2+1 is always positive and real…

Q: 4-x III. Evaluate f dx. V16-x

A: Let's find.

Q: x* - 5x² + 2 -dx X - 3

A: Explanation: Given that,  ∫x4-5x2+2x-3dx

Q: √ 1 x²√2x-x² dx = x+¹√ √√2x-x² + c 3x²

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Q: a. S f (x² - 2x + 1) e²x dx

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Q: 1-x 362. dx; u = 3x-x 3x-x'

A: As per bartleby guidelines I need to solve only one .So, please repost the 2nd question separately…

Q: x²-3x - 7 √(x² + x + 2) (2x - 1) dx

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Q: ( 2 + x², -2 <x< 0 1. f(x)dx; f(x) = 1 -x + 2, 0<x< 4 2* -2

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Q: 3. y = (- at x= 3 x+1

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Q: 5 f(x) dx = | f(x) dx = 3.8, find | f(x) dx. If 12 and

A: I=∫15fxdx=12I1=∫45fxdx=3.8

Q: 2x-5 4. f(x) = x2+4x-5 sin x 5. f(x) = cos x

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Q: 10 If f (x) dx -7 and f (x) dx = 1 then determine -3 -3 10 [1- f(2) dz 5 showing working.

A: Given: ∫-35f(x)dx=-7 and ∫-310f(x)dx=1

Q: 1 Let f(x) = 5x° - 9x - 3, x2 1.5. Find the value of - df at the point x= 1271 = f(7). dx

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Q: 1 -x2 + 6x dx = 10 - A In |-x2 + 6x - 10| + C -tan-1(x – 3) + C C -tan-1 (x + 3)+ C D tan-1(x – 3) +…

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Q: 3. The Chain Rule. Solve Dx (2x2 + 2)* V2x CSC X

A: This is a problem of differentiation of the function. Based on below formula we will calculate the…

Q: PO 5.5. -X².11+ y²) xe dx dy

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Q: 3- x 3) dx → S2xe* dx

A: To evaluate the given integrals.

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: 2 + x2;, -2 <x< 0 1. | f(x)dx; f(x) = 1 x + 2, -2 0 <x< 4

A: Given, The function  fx = 2+x2 ,-2≤x&lt;012x+2 ,   0≤x≤4 We have to find ∫-24fxdx

Q: fin (x In (x + x²) dx

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Q: efined by. Hn(X) +h. iu

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Q: 2. Evaluate. (Зx* - 2х + 1)dx -2

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Q: 2 + x², -2 <x< 0 1. f(x)dx; f(x) = -x + 2, 0<x<4 -2 2

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

Q: f(1-3/x)dx3= X +2x/x + C X-2x ex2+1 of X-2x/2 x(1-2/x) +C x(1 לx-

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Q: x-4 Evaluate dx. (x2 +2x+2) (x-3)

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Q: 5. P(x) = -3x- x³ + x² + x - 10 F(x) = 2x + x- 3x2 - 6 F(x) = x-x- x- 1

A: To find the number of zeroes and variations of polynomials.  According to our company's guidelines I…

Q: x²-3x+2 5. dx = x-1 1- zero 2- -6 2- -2 4- -8

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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: (х2-2х+11)dx (x2+3х-4) .2.

A: