S = Consider O 14/3 O 17/6 O 5 0 6 3x5 3x4+6x³3x2 - 6x A B C • √(₁-1² + + + + ² S x-1 x+1 x+m d. Using the method of partial fractions, the given integral can be written as dx. Find the sum of A, B, and C.

Q: Express the rational function as a sum or difference of two simpler rational expressions. Hint: Use…

A: Given that                         3x2x2+1 We can write the given rational expression in the form…

Q: Use the Table of Integrals to evaluate the integral. xdx S 2 x - 10x Select the correct answer. X -…

A: We have to find integration of given question.

Q: 1. Express the polynomial f(x) = 4x3 – 5x2 + 2x – 3 as a power of x + 2.

A:

Q: Let P() = 2- 2x2+ 3x-4x. Use synthetic division to find the value P(2i).

A: Given,         Px=2-2x2+3x5-4x3

Q: Use partial fractions to find the integral. S 4-x 2x²+x-1 Step 1 Rewrite the polynomial as 2x² + x1…

A: topic- indefinite integral

Q: Stan and Ollie work on the integral J2x(a* + 2) di. Stan lets u = x? + 2 and proceeds to get (x + 2)…

A: Since, we have been given that Stan and Olie work on the integral:-∫2x(x2+2) dxIntegrating the above…

Q: List all the possible rational roots of 4x* – 2x³ – 6x² + 22x – 15 =0.

A: To find all the possible rational roots

Q: Evaluate the following rational function with the following (a, b, c, and d). 1.…

A: Please see the answer below.

Q: When x³ + x² - kx - 5 is divided by x - 2 the remainder is 1. Find the value of k.

A: Remainder Theorem:If a polynomial p(x) is divided by x-a then the remainder is p(a)

Q: 1. Which of the following is a polynomial? A. 5x 4x 1+7 B. xV5 + x? D. 3x5 – 5

A:

Q: Determine Q(x) when P(x)=x³-5x2-3x+2 is divided by x-1 and then expressed in the form Select one: O…

A:

Q: 1. Which of the following are rational expressions? Vx + 1 (b) 2x + 3 x (x2 - 1) (c) x + 3 3x (a) x²…

A: A rational expression is the ratio of two polynomials P(x) and Q(x), P(x)Q(x) where the denominator…

Q: 2. Find the quotient and remainder of the following functions by long division. Write the answers in…

A:

Q: Find f 6x² y dA, where R is a region enclosed by 4x - 3y = 0, 4x − 3y = 1, x + 4y = 0, and x + 4y =…

A:

Q: Integrate √² +25dx Select one: О А. O B. O C. 2 √z²+¹ +In\√X² +1+z] + C + In √X² +1+x+C +In\√X²…

A: Note: None of the given option is correct in this question.

Q: -2 Evaluate the integral (6r +5)°dr.

A: We have to find the given definite integral.

Q: Evaluate using integration by parts or substitution. Check by differentiating. 8) Choose the correct…

A:

Q: Multiply (x+ 1) (x – 1) O x² - 1 O x² + 2x + 2 O x² + 1 O x2 - 2x - 1

A: