Having issues w/ both a and b. I think it's supposed to be a u substitution problem but the square root is throwing me for a loop when I try and start both of them. The image contains two integral expressions:1. The first integral is \(\int \frac{x^{1/3}(x-1)}{\sqrt{x}} \, dx\).2. The second integral is \(\int \frac{\sqrt{x} + x^2 - 1}{x} \, dx\).These integrals involve algebraic expressions with fractional exponents and radicals, which represent a common type of problem in calculus. The expressions indicate the need for techniques such as substitution or integration by parts to find the antiderivative, depending on the complexity and form. No graphs or diagrams are present in the image.

Answered: Image /qna-images/answer/bbb7a579-d632-4230-8f64-6335b9cb2823.jpg

Answered: 1/3(x– 1) dx VI+x² - 1 dx

Math

Calculus

1/3(x– 1) dx VI+x² - 1 dx

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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This is our quadratic equation: 5x^2 - 10x - 45 = -5 Use the completing the square method to answers the following questions. 1.You do not need to do step one for this particular quadratic.. Single choice. true false 2.After doing (or not doing) step 1, your equation looks like which one? Single choice. x^2 - 2x - 9 = -1 5x^2 - 10x - 45 = -5 3.After doing step 2, the equation looks like which one? . Single choice. x^2 - 2x = 10 x^2 - 2x + 9 = -1 x^2 - 2x = 8 x^2 - 2x - 9 = -1 4.After doing step 3 the equation looks like which one? Single choice. x^2 - 2x = 8 x^2 - 2x + 1 = 9 x^2 - 2x + 10 = 8 x^2 - 2x + 1 = 10 5.After doing step 4, the equation looks like which one? Single choice. (x - 3)(x + 3) = 8 (x - 1)^2 = 9 (x + 1)(x - 1) = 8 (x + 3)^2 = 9 6.A radical cancels. Single choice. a logarithm division the second power 7.When you take the square root of a number you always get. Single choice. a positive or…
B. y = (x +1) -2 A. y= 2+(x +1) 42. What must be added to the expression x -3x + A. 6 43. Which of the following quadratic functions is in the vertex form? A. y=ax + bx +c 44. Which of the following is the square of a binomial x - 20x +100? A. (x+10) For item numbers 45 - 47, refer to the quadratic function f(x) = 3x2 + 5. 45. What is the vertex of the function? A. (0, 5) 46. What is the equation of the axis of symmetry? A. x = 0 47. What is the y-intercept? A. 0 48. What is the direction of the opening of the graph of y = 4x2? A. Upward 49. If the graph of y = x is shifted 7 units to the left, what will be the new equation? A. y = x + 7 50. Find two numbers such that their difference is 10 and they have the minimum product. What is the minimum D. y = (x +22) – 1 to make it a perfect square trinomial? C. y (x +1) +1 В.9 D. - B. y-c =bx C. y = a(x+c) + k D.y = a(x - h + k %3D B. (x + 20) C. (x-10) D. (x- 20) B, (5, 0) С. (3, 5) D. (5, 3) B. x = 5 C. y = 0 D. y = 5 В.3 C. 5 D. 15 B.…
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