1. Evaluate the given integral [(4x³ - 3√x) dx 12x² a. 114 O C. 24 3 2√x +C 23 --x² + C 3 O b. O d. 3 X4 x4 - 2x² + C 2 ³-1 1/1 + C √x x3

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: Evaluate the indefinite integral S- dx 3x² x³√x6-1 O 3+C sec-1 +6 O sec-1x3 3 + C ec²¹x² + C sec 3…

A: SOLUTION-

Q: Choose correct answer for indefiınite integral S 823 – 9x2 + 4x dæ a) 24x2 – 18æ + C b) 24г? — 18г…

A: The indefinite integral ∫8x3-9x2+4xdx. We have to evaluate this integral.

Q: 1. Find In(√x² + 1) x² dx.

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Q: Rationalize the numerator of √x -4 √√x √√√x-4 √√x Question 15, 10.5.77 HW Score: 33.33%, 5 of O…

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Q: Evaluate each of the following Indefinite and Definite Integrals: a) ₁12x³-9x² + +2 dx

A: The given integral,a) We have to calculate the integral value.Note:Since you have asked multiple…

Q: Evaluate the integral. O a. (4x²–4)/4x²-4 +C 12 O b. (4x² – 4 2 O. (4x²-4)/4x²-4 +c O d. (4x²-4)/4x²…

A: We use substitution method

Q: -7x Sre™-3 + x + x = 1 dx The 3x لوکی

A: Topic:- application of integration

Q: 2) evalu ale the following integrals 3) ure completing up the square Nx2 - 2n - 2 b) shew that 3x +…

A: As per the guidelines I am supposed to do the first question among multiple questions. But for your…

Q: Evaluate the integral √x-2 dx √x x = 4√√√x+C - x+4√√√x+C Ох - √ Main Content x = √√x + C Previous…

A: Step 1:Step 2:

Q: b) 0.6' Rational Irrational

A: Therefore, it represents the rational number. The answer is: rational

Q: 12x+7 dx 2х+1 бх+3 -dx 12x+9 dx x²+2x+3

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Q: Perform all indicated operations and reduce the rational expression x? 2x - 6 X -1 -3x -to simplest…

A: Given expression A(x)=x2x-1-2x-62÷-3x1-x2.

Q: Evaluate the following integral: √√xe√xdx Select one: O a. e√x +c O b. O c. O d. 1 2√x -e√x + c…

A: The given integral is

Q: Evaluate: S O (1+2√√)¹ 2 O (1+2√)¹ +C 8 O 2(1+2√x) + C O (1+2√)¹ - + C 4 (1+2√x)³ - dx +C

A:

Q: 6. Evaluate 1 √x²-9 1₂ dx.

A: here we have to find the integrals.

Q: Evaluate the integral (2a+4)(x² + 4x + 2)*dx 4 by making the substitution u = x+ 4x + 2. ,2

A: Let u=x2+4x+2, now differentiate it with respect to x. du = (2x+4)dx So,…

Q: Find the integral using an appropriate trigonometric substitution. S 1 x² √√x² +25 dx O √x² +25 +C…

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Q: √√x²+2x dx= Select one: a. None of them b. (x + 1)√x² + 2x - 1 In ( x + 1 +√x²+2x() + C C. 1 +In 1 1…

A: The integral we are trying to solve is ∫√(x²+2x) dx. This is a non-standard integral and requires…

Q: Find an expression in a and b for the value of the definite integral: [9x² + √x-8]dx. A. 3 (b³a³) +…

A: The objective of the question is evaluate the definite integral.

Q: Three definite integrals are listed below. Two can be evaluated exactly using geometry. One cannot.…

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Q: [18x² √6x³ +5 dx 3 ○a. — (6׳ +5)³/4 + C b. (6x³ +54/5 + Oc.5(6x³+5)¹/5 + C d. 5 Od (6x³+5) ³/4 + C…

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Q: 4x2+13x-9 dx x3+2x2-3x

A: According to our guidelines we are supposed to do only one question. Kindly repost other questions…