Give an example of a number b > 0 such that the integral Jo dx is an improper integral. Note: There are many correct answers. Choose any example of a number that works.

Q: Evaluate the integral. [ ° In(x) dr =[ In(x) dæ NOTE: Enter the exact answer.

A:

Q: Evaluate the integral / -2(In x)? dx

A: Given,         ∫-2lnx2dx

Q: Use a Table of Integrals to evaluate the integral. Je* sin(5z)dr + C

A:

Q: evaluate the integral.

A:

Q: Evaluate the integral by any mothod d choice: dx (b) e* dx

A: Consider the given: ∫1x-x3dxApply u…

Q: x In(2 + x³) dx

A: Topic  = Integration

Q: Write the integral as a sum of integrals without absolute values and evaluate: Sri4 | cos x | dx =…

A: We have, |cos(x)| = cos(x) when, π/4 <= x <= π/2 And, |cos(x)| = - cos(x) when, π/2 <= x…

Q: Find the integral +1 dr = +C

A:

Q: Evaluate the integrals in ∫e√r/√r dr

A:

Q: Use the Table of Integrals in text to evaluate the integral 5V4 + (In(x))² dx

A: Given:

Q: Evaluate the integral. Assume that A is a real number and that A < 0. 0. dx (x – 3)3

A: We first express the integrand using exponents and take 7 out, then we integrate it.

Q: Evaluate the integral, if it exists.    ∫01 (1 -x9) dx

A:

Q: 2. Evaluate the integral by interpreting it in terms of areas. . V25 – x2 dx. .

A:

Q: c/4- 4 – x dx

A:

Q: -dx is an improper integral. A) True B) False

A:

Q: Evaluate the integral (1² – 4z) dz using its definition.

A:

Q: In evaluating 2x – 1 dx by substitution, if 4=2x – 1 then what will be the resulting indefinite…

A:

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. 2x V…

A:

Q: What is the integral of cot^3(x)csc^2(x) dx?

A:

Q: Evaluate the integral, if it exists.

A: Given: I=∫04x-1dx for evaluate given integral, we break it in two parts as given below…

Q: This triple integral can be broken into a product of integrals and evaluated, as follows. 27 (3r) dx…

A: Answer is 192π.

Q: Use the Table of Integrals to evaluate the integral.

A:

Q: Find or evaluate the integral by completing the square

A: Consider the following integral:…

Q: Use a Table of Integrals to evaluate the integral. 2ædx xª + 9

A:

Q: 'SC x x x

A: ∫cot2(x)csc3(x) dxWe know that cot2(x)=csc2(x)-1=∫csc3(x)(csc2(x)-1)dx=∫(csc5(x)-csc3(x))dxWe know…

Q: Evaluate the indefinite integral.

A: Given integral:

Q: Evaluate the integral. In(10 x 9) dx +C

A:

Q: Evaluate the integral by interpreting it in terms of areas: (2 – |xr|) dx dr =

A: We draw the function using a graphing calculator.

Q: Consider two integrals: (b) S, x³dx Where a, B> 0 are both positive real numbers. Given that a < B,…

A: In the question we have to determine which integral is larger.

Q: Find or evaluate the integral by completing the square.

A: Given that, ∫021x2-2x+2dx

Q: Using only the definition of RS-integral, evaluate 2 d[x}.

A:

Q: In da for the integral to be equal to What should a be in

A: This is calculus problem

Q: b) [12x – 1|dx 2.x

A: The given integral ∫012x-1dx

Q: Use the Table of Integrals in the back cover of Stewart's text to evaluate the integral -1x4 dx Vx10…

A:

Q: Evaluate by  ∫-2 2  (x +3 )  √ (4- x2)   dx    writing it as a sum oftwo integrals and interpreting…

A: Given: I=∫-22x+34-x2dx we know that ∫abfxdx=∫abfa+b-xdx…

Q: Evaluate the improper integral or state that it is divergent. 2 dx 1 64 + x2 0.

A: The given improper integral is ∫0∞264+x2dx. Evaluate as follows.

Q: A. Determine whether each integral is improper. If it is improper, give your justification. dx 2.

A:

Q: In evaluating x- 2 dx by substitution, if u=x- 2 then what will be the resulting indefinite integral…

A: We can find the answer as below.

Q: Find the integral by using the integral table on the inside bac dx x(x + 5) + C

A:

Q: Evaluate the integral. Assume that A is a real number and that A < 0. dx (x – 2)3

A:

Q: A. Evaluate the integral of the follo x+4 1. dx

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: In evaluating x+2 dx by substitution, if 4 =x+2 then what will be the resulting indefinite integral…

A: We will evaluate this as shown below

Q: Evaluate the integral. | In(7 x – 6) dx = +C

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

Q: 2(-3x+1), dx

A: I=∫ 32(-3x+1) 2-3x dx21-3x =t21-3x ln2  ddx(1-3x) dx=dt-3 ln(2) 21-3x dx=dt2-3x dx=dt-6 ln 2

Q: Evaluate the integral, if it exists.

A: Given: An integral ∫03|x2-4|dx x2-4&gt;0, for x≥2 x2-4&lt;0 for x&lt;2 Thus,…

Q: 4 -dx xln?x 00

A:

Q: 36) x7 e-x8 dx

A:

Q: In evaluating x+2 dx by substitution, if u =x+2 then what will be the resulting indefinite integral…

A:

Q: -dx is an improper integral. A True B) False

A:

Q: evaluate the integral from 0 to 3, x^3 dx/ sqrt 9+x^2

A: