Evaluate the integral. (sec?(t) i + t(t? + 1)% j + tª In(t) k) dt + C

Q: _11. What is Sdx? A. +C B. +x + C х-1 C. c. ++ 2x + C x(2x2+3x+6) + C x3 D. _12. In solving S th dx,…

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Q: dx 3. S- х(х+1)(х2+5х+6)

A: Explanation of the answer is as follows

Q: x3+10 x-e The resulting integral of f f are integers. What is the value of b? dx is ax + b ln x -…

A: Integrate to obtain the value of constants.

Q: 27-37. Repeated linear factors Evaluate the following integrals. 81 16x? 27. dx 9x? 28. dx (x – 6)(x…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: See image. (note radicals)

A: To evaluate the given integral.

Q: 15x²x343x - 19 The integral (x + 1)²(x² - 6x +13) can be rewritten as Slax [ax² + bx² + c + (mx +…

A: The objective is to determine ∫C(mx+n)t

Q: 15x²x³43x - 19 The integral f S can be rewritten as (x + 1)²(x² - 6x + 13) Ax + B C D Slax + + ax² +…

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Q: a. Evaluate the integral ∫ (4x2 + 2x -1) / (x3 +x2)  dx b. Evaluate the integral ∫ x3  /…

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Q: 6. S²2 (+1/12 - √x) dx

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Q: 2. The value of the integral in terms of u is? 2u³-21n|u³+1| + C 2u³-3u² +6u-6ln|u + 1| + C 6u+…

A: We know that integration of xn is xn+1/n+1.     Here i attached the solution of this question.

Q: 16 -3t – 3 What is the value of the definite integral dt? Enter your answer as an exact fraction if…

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Q: (ii). 3x3+2x? –3x+8 Ax? + Bx + C x+2 A= B= ,D= and hence find the value of the integrals За-5 dx x-1…

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Q: |(x+3)°(x+b)d dx is In 3x2 +8x– 12 The resulting integral of + C, where a, b, d, and e are integers.…

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Q: 4. 7. Suppose f(x)dx = -6, f(x)dx 6, and g(x)dx = 2. Evaluate the following integrals. 2 ... Jgndx =…

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Q: 2. Consider P(x) = -0.04x+0.14x2-0.16x +2.08, which passes through the four points (0, 2.08), (1,…

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Q: S For x1/2 dx and using the substitution = x1/2, the resulting integral takes the form: x-x3 -du S-…

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Q: Using appropriate substitution, .3 1 the integral J1 x(3+ln(2x))² dx is equal to: 3+ln 6 3+ln 2 3+ln…

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Q: 10 - If a > 0 is a constant, then Sa xa-1 dx equals: a) 2ª e2ª b) e2ª a 9o 1 (e2" – 1) d) O the…

A: since a>0 is a constant then we have to evaluate the following and choose the correct option

Q: 1 3√x + x X Solve the integral: J 6 5 F1+x8 + c A @ c in 1 B 1+x + C © n1+x.c C C Gin|5+x²|+C D - dx

A: Explained below

Q: 77 The value of definite integral (a) 2 (b) 3 x²x² +1 (+(²2-0²-1))) ₁ (c) 8 + ln x dx is equal to:…

A: To find- The value of definite integral ∫13x2x2+1 + lnx2x2x2+1 dx is equal to: 2 3 8 13

Q: x3+10 x-e The resulting integral of S dx is ax + b ln x -Arctan + C, where a, b, d, e, and x3-2x2+5x…

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Q: 15x² x3-43x - 19 - (x + 1)²(x² - 6x +13) Ax + B S ax²+bx+c The integral What is the value of dx can…

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Q: d²p If 2 dq² dp 7- +4p = e³x, what would be the solution for the particular integral? dq

A: Given the differential equation, 2d2pdq2-7dpdq+4p=e3x

Q: -3 QI Solve the double integral for S, (E+?) dydx А: 8.94 В: 8.05 C: 9.88 D: 9.55

A: Here we solve double integral . we have constant integral limit . we solve the double integral with…

Q: Зx2 + 8х -12 x(x² +7x + 12) (x+ 3)"(x + 4)m ` The resulting integral of f dx is In + C where e ,m…

A: Given: I=∫3x2+8x-12xx2+7x+12dx For evaluating given integral, first we simplify given expression…

Q: Using an appropriate substitution, the integral I = | (3.x² + 1)(x² + x)° dx is equal to: (x³ + x)°…

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Q: 4. Evaluate the integral: ,(x-2)(x-x² + 1)dx

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Q: 4,4 3x e + 5x 5x The generalized trapezoid for the integral given as using the rule a. Find the…

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Q: 52. (c) The vertical line x = k divides R into two regions where the area of the region to the left…

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Q: 7. (4ea) Evaluate the definite integrals. a) L (3x2 + e*) dx

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

Q: 10. b. Use Part 2 of the Fundamental Theorem of Calculus to evaluate the definite integrals. Show…

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Q: Question: * Using integration by parts, integrate S In 5x dx A. xln 5x – x+ c с. 5xInx - х+ с в. х?…

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Q: 4 7 7 Suppose f(x)dx = 5, f(x)dx = - 8, and g(x)dx = 7. Evaluate the following integrals. 2 2 2…

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Q: = -19 when x = Integrate the following expression, and solve for the constant of integration using…

A: It is differential  equation

Q: ー2X 2 e Evaluate the integral 4え |

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Q: In this question, you will solve an integral problem using the method of substitution. (a) Make the…

A: A detailed solution is given below

Q: 1 √√√√√x + x S Solve the integral: 5 @ =³√√/1+ x ³²³/ + C A {m/1+x²³² |+c ==ınlı 5 6 B C ©…

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Q: 17. Derive Simpson's three-eight rule for the numerical integration and using this rule calculate…

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Q: 4x3 The indefinite integral - x is: (x* + 1)? Select one: a. x4 x* +1 b. -2

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Q: 8 x2 + 16 dx x2 The integral is equal to ...

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Q: dx S x2 ( 4. x²+x+1)

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Q: Evaluate the integral: So So So 2 rt c√3u 0 0 น s²+u² ds du dt

A: Given problem:-

Q: Can i get help with this problem step by step?

A: Consider the given integral.

Q: Perform the integration: ... ex+2 A 1/In(e+2) + C B None of the choices are correct. In(e + 2) + C D…

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Q: x²+ 3x-7 In Evaluate the integral: e X-2 dx x2 +5x + In|x-2| + C A B None of the given Choices x² +…

A: I have stated the used formulas in the solution.

Q: 12. If you were asked to evaluate the integral x'e* dx, a good first step would be: I.…

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Q: FULL SCREEN PRINTER V Chapter 6, Section 6.6, Question 051 Use integration by substitution and the…

A: Consider the given integral.

Q: Q4- If you have 1 then x = . . And y = x+iy' 1+2i .......... Q5- The value of the integral . Where C…

A: See the solution.

Q: Find the value of the constant C for which the integral 5x 5C dx 2 X² + 1 Зх + 1 converges. C = 3…

A: Convergence of integral

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