Find the most general antiderivative. X - dx ..... O A. - 3x2 - 3x3 +c 1 x* O B. 1 +C 2x - 4 4. 3x x* 1 C. 4x +-+ 4. 1 D. 2x

Q: 8. Find the antiderivative of (12x²)ex³ O 4e+³ 4eX +C O (4x³)e+³ +C O None of these Cannot be found

A: Let's find antiderivative of given function.

Q: 14. Which of the following has ex³-¹as an antiderivative? A. x²x¹-1 B. 3x²x³-1 C. 3xe*¹-1 D. xex -1

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Q: what is the antiderivative Of ? 1(x²+1)

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Q: (b) Evaluate the following antiderivative. x In xdx

A: ∫xlnx dx By integrating by part;∫xlnx dx = lnx×∫x dx - ∫dlnxdx×∫x dx dx                     =…

Q: Find the most general antiderivative. 4t dt O A. 12t° + 6. O B. +t+C O C. 8t++C OD. +C 18 2/9

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Q: If y(x) : ,determine the antiderivative of y(x). (Do not include the constant C in your answer.)…

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Q: Given that s(z) what is the antiderivative of s(1)? (Do not include the constant C in your answer.)…

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Q: The antiderivative of y= +5 is O 2/x+5x+c none of these O 2/x+5 O 2/x-5x+c 15

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Q: (a) Find an antiderivative of x/16 - x*. 1 4 (b) Compute the integral x'V 16– x* dx. |

A: Explanation of the solution is given below...

Q: - Find the antiderivative of 5inxIn5cosx. a. 5cosx + 3 c. 5sinx In 5 b. 5sinx – 2 d. 5sinx -+7 In 5

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Q: 15. Determine the general antiderivative of f(r) = %3D r4 + 10 a. In r – 10| +C b. 4ln |r* – 10| +C…

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Q: 1 Given that s(x)% = 1 what is the antiderivative of s(x)? %3D x + 7 X – 6

A: The antiderivative of sx is ∫sxdx. Now, find the value of integral ∫sxdx using the formula…

Q: Which of the following shows the correct substitution of the variable u into the integral S₁ x√3x -…

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Q: e the integral: S- 1 √x © $ n/²+x²³/+c +C © ²0/₁+x²³²/+c\ +C == n/₂+x²³/+c +C √x+x dx

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Q: Find the most general antiderivative. dx O -4 cot x + C 4 cot x + C -4 tan x + C tan x + C

A: We need to evaluate the following antiderivative ∫-4sec2xdx

Q: S. 9+eoscsiっ.、 (メ)) >マ

A: y = ∫dv4+ecossin-1xTo find appropriate 'dv' so that, anti-derivative is possible.

Q: y = x³ ve x = y² eğrilerinin kesişim bölgesinin alanı aşağıdakilerden hangisidir? A) B)금 E) 12

A: Given,            y=x3x=y2   As we know, If we have two curves  y=f(x) and y=g(x) and f(x)>g(x)…

Q: f(x) = 2x – 5 Vx - 4 f(1) 3 2 t

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Q: Which of the following is the antiderivative of S ) dx? xVx+1 Vx+1-1 + C Vx+1- a. In c. In + x…

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Q: Evaluate the following antiderivatives. 2dx x ln x S

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Q: Find the most general antiderivative. 4 9 dx 4 sin-1 x - In Ixl +C 4 sin-1 x + 9 In |x| +C 3.…

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Q: Find the following antiderivatives. 49 – 2y dy 49 +1 (a)

A: Introduction: Evaluation of anti derivative is the main aim of indefinite integral. An anti…

Q: A.Use the given integrating factor to find the general solution of the following DE 1. (4x²y +…

A: According to the guidelines issued by the company We are supposed to answer only one question.…

Q: Find all the antiderivatives of h (t) 1 1+t² H(t) = -(1+t²)-2 + C none of these H(t) = In |1 + t²|…

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Q: Q2: Evaluate the following integrate: 2- S(2 + 5x) es dx

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Q: x?+2 x2+1 1. What is an antiderivative of a. x + arctan x- 5 b. x+ arccot x c. 2x + 3 d. x + 2arctan…

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Q: Find the following antiderivatives. 49 – 24 dy 44 +1 (a) / : (b) / tan u + tan u du Vtan? u – 2

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Q: Find the particular antiderivative that satisfies the following conditions: C' (x) = 2x² – 4x; C(0)=…

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Q: Determine the antiderivatives of the following functions: 1. S(x+ 1)100dx 2. S(x²+x)1º(2x + 1)dx 3.…

A: Topic:- application of integration Note:-  as per our guideline if more than three subparts posted…

Q: Find the most general antiderivative. S (6x' + 9x + 2) dx 18x4 + 18x2 + 2x + C O*++ 2x + C 18x? + 9…

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Q: Find the particular antiderivative that satisfies the following conditions (assume x>0):…

A: To find the particular anti-derivative.

Q: F(x) = xe" – 5 ln 7x + 7 is an antiderivative of %3D f(x) = xe² Select one: O True O False

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Q: Find the particular antiderivative that satisfies the following: H'(x) = 6/x^3 - 10/x^6 ; H(1) = 0…

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Q: Find the particular antiderivative that satisfies the following conditions: 10 10 H' (x) Н(1) %— 0.…

A: H'(x) = 10/x2 -  10/x7 find H(x) = ? so we have to integrate it H'(x) = 10x-2 - 10x-7 H(x) = -10/x +…

Q: Find h(t) if h''(t)=t^3/2, h'(4)=2 and h(0)=3.

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Q: Q2: find the antiderivative of the following a) S x + e* + sec(x) tan(x) dx b) /블dx x+1 c) S(e* + +…

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Q: Find the particular antiderivative that satisfies the following conditions: R'(x) = 5 – 0.7x; R(0) =…

A: Given : R'x = 5-0.7xR0 =  1

Q: If t(z) = - determine the antiderivative of t(x). (Do not include the constant C in your answer.)…

A: The integral of the function f(x)=1x is given by: ∫f(x) dx=∫1xdx=ln|x|

Q: Provide the General Solution for the following Indefinite Integral (Antiderivative) xp. 2 3x O a. -2…

A: see next step

Q: 1. Given that s(x)=−1/x+8 + 9/x−4, what is the antiderivative of s(x)? (Do not include the constant…

A: An antiderivative is a function that reverses what the derivative does. The antiderivative of the…

Q: 2) Evaluate the following (general) antiderivatives: a)ſcos(8x² +7)x² dx 13x dx 9+7x°

A: Indefinite integrals are given, we have to find its value

Q: Match each general antiderivative with its rule xn+1 а. dx n + 1 dx, n + 1 b. (п + 1)2^+1 С. dx…

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Q: Find the most general antiderivative, 3x 5 c 2. *) dx 7. 1 3x O A. e+e +C 3. B. 3x +5 e+C 74 OC. 7.…

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Q: Find the following antiderivative: 5æ(-2² +5)° dz Provide your answer below:

A: We have to find solution

Q: Find the antiderivative of 25* dx. 25* + C In 5 A 5+2 + C 2 In 5 B 52r + C 2 In 5 25*

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Q: How do I find the antiderivative by using the power rule I reverse?

A: This can also be broken by using linearity as below

Q: . Which of the following has e**-1as an antiderivative? A. x²e*³-1 -B. 3x?e*³-1 C. 3xex-1 D. xe*3-1

A: Explained below

Q: 1. Given v(x) = 5x-6 +2x, find the general equation for the antiderivative. A. -x- +x+ C 2. In…

A: Given : v(x) = 5x-6 + 2x To find: Antiderivative of given equation ?

Q: 2x + 3 1. (2x² + 6x – 7)7 dx 5 2 (32 – 3x)' (12x* – 3) dx

A: Given : Antiderivatives 1. ∫2x+32x2 + 6x - 77dx 2. ∫   8x32 - 3x5 12x12 - 3dx    To find : The…