Evaluating the integral In(x³)dx, where x > 0 yields: x In(x²) – 2x + C 2x In(x²) – 4x + C O the above O the above 2x In(x)- 6x + C x In(x)-3x + C

Q: Evaluate the integrals in Exercises using integration by parts. 2. |0 cos m0 do 4. f* sin xde * cos…

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new…

Q: Find the integral: x2-2/x+1 dx choices: a) x2/2 - x - In(x+1) + C b) x2 - x - In(x+1) + C c) x2…

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

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

Q: Determine the indefinite integral. "In ®x -dx 5x Choose the correct answer below. O A. 5x Edx = 5x…

A: Use u-substitution method to evaluate the integral.  Use power rule of integration

Q: Consider the integral 7x (x2 + 1) dx. In the following, we will evaluate the integral using two…

A: Explanation of the answer is as follows

Q: dx Evaluate the improper integral if it exists] .1 The improper integral diverges .2 .3 8 .4 3 2

A: Given ∫081x3dx

Q: Consider the functions given.evaluate the integrals

A: First we try to write the given function using the mentioned functions.

Q: The evaluation of the Integral of S x² V1- x dx is 105 V (1 – x)³[15x² + 12x + 8] + C (ii) V(1 –…

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: Evaluate the integral using Part 1 of the Fundamental Theorem of Calculus. 4x(1 – x² )dx = i

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Q: Evaluate the integral using Part 1 of the Fundamental Theorem of Calculus. 5 4x(1 – x² )dx = i

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Q: Evaluate the integral using Part 1 of the Fundamental Theorem of Calculus. | 4x(1 – x² )dx = i -1

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Q: The integrals in Exercise  converge. Evaluate the integrals without using tables.

A: "Since yo have posted a two questions, we will solve first question for you. To get another question…

Q: Consider the integral shown below: π ∫ (ln(x))/((x^2)−2x+2)  dx. 1 Evaluate the integral using:…

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Q: 3. Use a triple integral to derive the formula f *+ + = 1. = 1.

A: Given: To derive the formula for the volume of the ellipsoid by using a triple integral. x2a2…

Q: dx Evaluate the improper integral x(lnin x )²

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Q: dx (a) Evaluate the integral / using the substitution x In(4x) u = In(4x). +C x In(4x) (b) Evaluate…

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Q: 2. Evaluate the Integrals using the Fundamental Theorem of Calculus. 1. S/4 cos x dx π/4 2. ¹₁ sec²…

A: First I have written the Fundamental theorem of Calculus, using it for given integral and find its…

Q: Evaluate the integral: x ln x dx Choose the most appropriate answer. 승nz- +C ,6 -In x 6 36 x° (ln x)…

A: We have to evaluate the integral ∫x5 ln x dx

Q: Evaluate the integrals using substitution. (Use symbolic notation and fractions where needed. Use C…

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Q: The evaluation of the Integral of Sx sinx cosx dx is ) 글x stm2x-x+금stn2x + c (i) x sin'x -x + sin2x…

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Q: Evaluate the integral of e^x^3 x^2 dx from 0 to 2. * O 973.10 O 993.32 O 876.56 O 999.40

A: Given: ∫02ex3·x2dx Substitute u=x3 and differentiate it w.r.t 'x' dudx=ddxx3dudx=3x2du3=x2 Lower…

Q: Evaluate the integral. dx A) In x4 +c B) In x4? + c c) In x4? +c -(In D) -+c In x4

A: Here we will substitute ln x4 = u to solve this integration.

Q: -4 Evaluate the indefinite integral, using algebra to rewrite the integrand first. dx 2 – 8x +C 3. -…

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Q: Кр хр (x³y-xy) dx dy anoigand 8.

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Q: 6 In x Evaluate the iterated integral given that the evaluation of the inner integral is 7x 3 In x…

A: ∫1e∫1e23lnx7xydydx

Q: Evaluate the integrals for f(x) shown in the figure below. The two 1.0 1,0 -1 a) So 3f(x) dx = %3D…

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Q: xp 3+5 cos x dx x²(1+x*) /4 dx (x²44) M2 (x+1)dx 3+ 10x2- 5x + 15 1²(x²+5)

A: we have to evaluate the integral.

Q: 1 4. f₁² (1-x²) dx 5 2

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Q: Evaluate the integral. Oin | +0 | C In (x-8)² x + 7 In |(x-8) ³² (x + 7) + Din ((x=83² ) +1 In C + 7…

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Q: 2n3 – 1 5n3 + n n=1

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Q: dx Evaluate the improper integral J x(Inln x )

A: We have to find value of given definite integral

Q: Evaluate the integral using Part 1 of the Fundamental Theorem of Calculus. 3 | 4x(1 – x² )dx = -1 i…

A: Given that: ∫-134x(1-x2)dx

Q: Using the graph below and the given integrals | f(x) dx = -20, f(x) dx = 20, and f(x) dx = -64, find…

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Q: Use inversion order to the ff integral, the limits of the innermost integral must be a. √x to x b. X…

A: ∫01∫y2y1-x2dxdylimit of y is from y=0 to y=1limit of x is from x=y to x=y2draw region bounded by…

Q: Eveluate the integrals in exercises (a-b) x 5-x cos (x+

A: As per our guideline we are supposed to answer only one question you can repost other questions in…

Q: Evaluate the integral(mx+b)/(x-p)(x-q) In the integral m,b,p,q are constants and p is not equal to…

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Q: Q7. Estimate the integral of y with respect to x , evaluated from -1 to 1. Use 11 values of x ,…

A: Using the code for Trapezoidal Rule-

Q: Evaluate the integral using Part 1 of the Fundamental Theorem of Calculus. 4 4x(1 – x²)dx = i -1

A: To find the value of given integral.

Q: Evaluate the integral f(x) dx, where ´1- x', x 1 (Use symbolic notation and fractions where…

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Q: Evaluate the integral x Inx dx Select one: Inz -+C Oi In r- a +c 0 in z- +c 3. a Ina O None of them…

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Q: evaluate the integral by mahing (use c for the' constant of htegration) Mtegration) the qiven…

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Q: Evaluate the integral using Part 1 of the Fundamental Theorem of Calculus. 4 | 4x(1 – x*)dx = i -1

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Q: Evaluate the integral. ƒ ƒ6(x³ - y³)²dA = □ (Type an exact answer.) R

A: ∫-11∫016x3-y32dA

Q: Consider the integral shown below: π ∫ (ln(x))/((x^2)−2x+2)  dx. 1 Evaluate the integral using:…

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Q: 2. Use Romberg integration to compute R3.3 for the following integrals. 0.75 (cos x) dx a. x In(x +…

A: Since you have asked multiple questions, we can solve first question for you. If you want other…

Q: Evaluate the improper integral if it exists 2.1O 1.2 O The improper integral diverges 3 0 6.4 0

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Q: Consider the integral o Sa -9-x² (x² + y²)dxdy. (a) Sketch the domain of integration. (b) Compute…

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Q: dx In the evaluation of the integral / -, the coefficient of In [2 + 3x| is x(2+3x)² 3/4 1/4 -3/4…

A: The given integral is: I=∫dxx(2+3x)2

Q: Evaluate the integral dx x2 - 1 O In - 1|- In |r + 1| + C O In a- 1+ C O 2 In a+ 1|- In |r - 1|+ C O…

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Q: Evaluate the integral [I-÷+1]dx by the evaluation part of the Fundamental Theorem of Calculus

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