The graph of f consists of line segments, as shown in the figure. Evaluate each definite integral by using y 4 3 (3, 2) (4, 2) 1- (11, 1) I 2 6. 10 11 -2 -3 (8,-2) -4 (a) -2f(x) dx 6f(x) dx (c) | 2fix) dx (d) -6f(x) dx (e) 8f(x) dx

Q: Evaluate the integral of dx / (x + 2) from -6 to -10.

A: The complex form of integration can be converted to simple integration form by  using the…

Q: Evaluate the integral.

A: Given integral is We will use the following substitution to evaluate the integral.

Q: Example 14 Evaluate the integral dz

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Q: Evaluate integral of interval 1, 1/2 of (x-3 -8) d x

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Q: Evaluate the integral. 4 f(x) : 16 – x2 if -4 < x < 0 0 < x < 4 f(x) dx where if

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Q: Evaluate the integral. 3 (x³ - 6x)dx

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Q: 3. Use the Fundamental Theorem of Calculus to evaluate the definite integral 16 x Vx dx 4

A: Given: ∫416xxdx Simplifing the given integral∫416xxdx=∫416x(x12)dx                 =∫416x1+12dx…

Q: Evaluate the definite integrals using the graph of f (x) below. 4- y 2- 2 10 12 -2- -4- -6. (a) I f…

A: Given : The graph To determine :    (a) The integral  ∫02 f(x)  dx .  (b) The integral  ∫24 f(x)…

Q: x-3(x-1 + x)²dx

A: Given, ∫x-3x-1+x2dx It is required to evaluate the integral.

Q: Evaluate the integral ∫dx/ x√x4 - 1

A: We have given the integral;

Q: Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the…

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Q: if 0 < x < 3, if 3 < x < 6. 9- 3x f(x) = %3D Зх - 9 Evaluate the definite integral by interpreting…

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Q: Evaluate the integral dx- 1+ x8

A: Given  ∫-∞∞x31+x8dx=?

Q: Evaluate the integral of x(x – 5)^12 dx from 5 to 6

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Q: Evaluate the integral. х — 1 dx x2 - 7x - – 8

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Q: Evaluate the integral from -n/2 to +t/2 of x² sin x.

A: Given integral

Q: Evaluate the integral of dx / (x + 2) from -6 to -10

A:

Q: Evaluate the integral. 3 if -2 < x< 0 f(x) dx where f(x) | 4 – x² if 0 <x< 3

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Q: 2.x D' -8 .

A:

Q: Evaluate the integral. HINT: 3 x2 dx J2 x - 1

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Q: F[x₁,...,n] is an integral domain.

A: Solution:-

Q: Evaluate the integral / f(x) dx, where -1 -{ if – 1 < x < 0 if 0 < x < 1 -X - f(x) = 1-VT - x²

A:

Q: (3) What is the Definite Integral of a function f from a to b?

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

Q: compute the definite integral.

A: Our Aim is to compute the definite integral given below:-∫12 x ln (x) dx-(i)

Q: Find the integral of f(x) = 1 √1-16x² between 0 and 1.

A: The given integral is 1/sqrt(1-16x2).

Q: 4. Express f(x) by the Fourier integral where f(x)= (-2, -3< x < 3 otherwise.

A:

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

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Q: Evaluate the indefinite integral S(x +x+7+x1+x ²)dx

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Q: Evaluate the definite integral. | V2z + 3dx 0.

A: Given: The given integral is, I=∫012x+3dx

Q: 4 dx = x² + 1

A: Given that, ∫-114x2+1dx=4[tan-1x]-11 =4[tan-11-tan-1-1]=4[π4-(-π4)]=4[π4+π4]=4×π2=2π

Q: S(1+- x3 dx 1+x2, 3

A: Topic- integration

Q: x +1 -dx x3 +1

A:

Q: Evaluate integral of dx/x+2 from -6 to -10 Choices: •In 2 •In 3 •21/3 •1/2

A:

Q: Evaluate the integral

A: Given: I=∫xdxx2-7 for evaluating given integral, in given integral we substitute x2-7=t…

Q: dx x2-x

A: Convert the rational function into partial fraction. Use integration of 1/x dx = ln(x) +c

Q: |20²-1 |2*-1 – 1|x dx

A:

Q: Determine the indefinite integral. S()dx O x+c O 2/x +c O 3 3/x³ + c 2x² + c

A:

Q: Evaluate The Integral

A: Given function is

Q: The integral of (x-1)(x+1)^(1/2)

A: Given,

Q: Evaluate the definite integral of f(x)=3x^2+2x+ x^(1/2) over the interval [0,1]

A:

Q: 9-x2 B: Find the integral S 18-x2-y xydzdydx.

A: We have to calculate the given intregration

Q: The Fourier integral of (-1, -14 < x < 0 1, 0<x< 14 0, otherwise f(x) = {

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Q: Evaluate the integral.

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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: Verify the Mean-Value Theorem for integrals, for the function f(x) = x² + 5 [0,3]- on

A: We need to verify the Mean-Value theorem for integrals, for the function : f(x)=x2+5      on  [0,3]

Q: Find the indefinite integral r 2(In(x))³ dx .

A: In some cases an indefinite integral can be simplified to a standard integral using an appropriate…