Consider g(x) = In(x + 4) and h(x) = In(-x) 1 Graph g and h on the interval [-4,0], using the given set of axes. y -4 -3 -1 X -1 2 Use definite integrals to represent the area between g and h on the interval [-3,–1] and do not calculate the definite integrals.

Q: Find the indefinite integral.

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: Find the indefinite integral.

A: We have to evaluate the following integral: ∫x2-3x+2x+1dx

Q: 2x2 +13 5. S (1-x) (x2 +4) (++ z^)(x-1)

A:

Q: Find the indefinite integral.

A: To evaluate the integral: ∫ex+e-xex-e-xdx Solution: Given,…

Q: 7. Find the area between f(x)=-x² + 4x and g(x) = x² - 6x +5 over the interval 0≤x≤1 Ei..

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Q: evaluate the integral using the methods covered in the text so far.

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Q: find the integral of F(x) = x6(x7-8)4 dx

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Q: g+y= 쓸 - zxe - 5

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Q: Evaluate the integral. (Use C for the constant of integration.) x2 - 81 xp

A: Let,I=∫x2-81x3dxI=∫x2-81.1x3dxI=x2-81∫1x3dx-∫∫1x3dxddxx2-81dxI=x2-81∫x-3dx-∫∫x-3dxddxx2-81dxI=x2-81x…

Q: x2 – x dx -1

A: To evaluate the definite integral -1 to 1.

Q: Find the indefinite integral.

A: ∫x25-x3 dx Put, 5-x3=t⇒0-3x2=dtdx⇒-3x2 dx=dt⇒x2 dx=-dt3

Q: Find the indefinite integral

A: To solve the integral, use the substitution method and consider x4-4 as u. Differentiate both sides…

Q: xt-x³-x-1 x3–x² dx Compute the integral.

A:

Q: L( -x² + 2x² – 1)dx

A: To give the corresponding indefinite integral. To show the complete solution. ∫-22x5-x3+2x2-1 dx

Q: Find the indefinite integral ∫ x2/(5 − x3) dx

A: Given integral:

Q: Evaluate the definite integral. Sí f (x) dx, ƒ (x) =3"–(15x³+ 6)/x²

A:

Q: Find the indefinite integral by making the substitution x = 9 sin e. 6. V81-x2 1 3/2 +C 81 V81-…

A: Option b is correct

Q: Evaluate the indefinite integral by using the substitution u = 6-x* to reduce the integral to…

A:

Q: Find the indefinite integral.

A: Given that, ∫x4+x-4x2+2dx

Q: dx 15. x1+(In x)*]

A: Given:       ∫10dxx1+lnx2       =∫101x1+lnx2dx substitute u=ln x→dudx=1x→dx=xdu…

Q: Evaluate the integral x³/x² - 7 dx.

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Q: Evaluate the integral. (Use C for the constant of integration.) x² - 64 dx - +8

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Q: Express lim as a definite integral, f(x)dx. n 0 n i=1

A: Explained below

Q: The functions f and g are integrable and f(x)dx 2. f(x)dx 4, and g(x)dx= -3. Find the values of the…

A: Given, ∫24fx dx=−2,∫27fx dx=4 and ∫27gx dx=−3Concept used:1. ∫aafx dx=02.  ∫abfx dx=−∫bafx…

Q: Find the indefinite integral.

A: To find: The indefinite integral ∫dxxln x23. Concept used: Power rule of logarithmic: ln ab=b·ln a…

Q: f(x) = 0.2 + 25x -200x2 + 675x3 – 900x4 + 400x5

A: Here I write a python to solve this question. Here step size is 0.2 so number of interval is…

Q: Evaluate the indefinite integral. V 4 + x² dx = %D

A:

Q: 3x2 + 2x +1 dx x2

A: See the attachment

Q: Find the indefinate integral for f(x) = (x^1/2)+(1/x)-9e^x

A: Given,

Q: dx 1. -1 V1 – 2x – x²

A: Explained below

Q: evaluate the definite integral.

A:

Q: Evaluate the indefinite integral:  x3ln(x2-1)dx

A: Given integral By using the following substitution, we get

Q: The graph shown below is fx) = -(x - 1)2 + 5. What is the integral function g(x) that defines the…

A:

Q: Use the Fundamental Theorem to calculate the definite integrals. 2 1 dx x+2 -1

A:

Q: Find the general indefinite integral.   ∫ (x2+  x-2)    dx

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Q: The undefined integral of the function [1+ cos x} power -1 is *

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Q: Find the indefinite integral. x* - 1 dx (x5 – 5x)³

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Q: Find the indefinite integral. + x + x-9) dx + C

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Q: Find the general indefinite integral. x* + 4x +1

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Q: 3) Use long division to evaluate the indefinite integral f „s dx.

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Q: Evaluate the indefinite integral by using the substitution u=x² + 1 to reduce the integral to…

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Q: (2х-2 dx

A:

Q: Find the indefinite integral using the substitution x = √x√4 + x² dx + C 2 tan(0)

A: SOLUTION-

Q: Evaluate the definite integral. x² - dx x' -1

A: Given,          ∫x2x3-1dx

Q: Find the indefinite integral ∫ 3/2√x(1 + x)    dx

A: Evaluate: ∫32x1+xdx

Q: Evaluate the integral /4- x2 dx. x2

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

Q: Find the Indefinite Integral. x²-2x dx メ-3

A: We have to find the Indefinite Integral  ∫x2-2xx3-3x2dx.

Q: Evaluate the indefinite integral dx x(x²+2x+1)

A:

Q: Evaluate the indefinite integrals by using the given substitutions to reduce the integrals to…

A: SOLUTION-

Q: x'-6x+9 3. S

A: