Find the antiderivative of e2xcos(7x)

Q: tnd F°(E) that Satisfres the intral condidrong

A: Given that  r''(t) = 3t2 j^+6t k^ On integration w.r.t. (t) we get, ∫r''(t)dt = ∫3t2dt j^+∫6t…

Q: 1 Y(s) 4 5s2 S

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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: ce!-¤ dx

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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: evaluate using the appropriate method or combination of methods.

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Q: S(3x2 + 2) V4x³ + 8x dx

A: Solving the problem by the criteria of integration.

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: Q6/(A)Evalute ex² dxdy.

A: Given: ∫02∫y21ex2dxdy Evaluate the given integral. If the order of integration is x, y then…

Q: Explain why the antiderivative y1 = ex+C1 is equivalent to the antiderivative   y2 = Cex

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Q: Find the specific antiderivative using the given information: 7x = (x),4 (5 – 2²) - h(1) = -5 h(x) =

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Q: 54. dr 4 - x* – a

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Q: Find the approximate value of the expression (1.99)" by using linear approximation.

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Q: Find the general antiderivative of f Cx) = 7x end check the Lons answer by differentiating.

A: Here we have to find the antiderivative of the given function and check with yhe help…

Q: 5pq4 Find the antiderivative

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Q: Jmin = ymax =

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Q: Find the deriDative ニレスナリょナス

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Q: Determine the antiderivatives.

A: Determine the antiderivative

Q: 35. CSc z dr

A: The anti-derivative to be evaluated is  ∫cscx dx

Q: 5x dy. 10.) Evaluate

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Q: /25 — 9х2 dx

A: Here, the integral(antiderivative) to be evaluated is  I=∫25-9x2 dx

Q: Find the following antiderivative. -In zdx

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Q: Find the antiderivative x3/square root of 25+x2

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Q: S4x(5x³ – 3x)dx

A: To find the antiderivative: ∫4x5x3-3xdx

Q: Find the following antiderivative. p + 2 dp 2p + 12p – 10 Submit Question 0 日。 O Type here to search

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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: –3x6 + 6x12 dx -3

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Q: Find the antiderivative x2cos(21x)

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Q: Find the particular antiderivative that satisfies the following conditions: p'(x) = 60 p(7) = 7. x2…

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Q: Find the most general antiderivative. 20) [7x3 - 4x + 5)dx

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Q: Find the antideviVative 2+x € ) =

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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: If possible, find the general antiderivative of [(4+e*)e*cxc . O There is no general antiderivative.

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Q: What is the antiderivative of 2sec^2(x) + 3 ?

A: The antiderivative of the function means that the integration of the given function.The integration…

Q: Evaluate the following. √(x²-2) e¹-6x dx

A: Use substitution method to solve the integral.

Q: evaluate using the appropriate method or combination of methods.

A: We first find the integral without limit using by parts Use these u and v in by parts formula

Q: (2x4 + 3x² + 7) dx

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Q: Find the following antiderivative. far 5z + 7dx

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

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Q: 1 2х

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Q: ind the antiderivative: S 21x² + 8x -÷+e4x dx 5x

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Q: Calculate the following antiderivatives: (a) +q (b) (C) +C

A: We have to calculate the following anti derivatives -  (a) ∫x3 dxUsing the following formula of…

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: 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: What is the antiderivative of 4^x ?

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Q: dx V9-x? a.

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Q: Find the most general antiderivative. 4) (15+ e2t) dt. 16 e2t A) B)+ 202t + C e3t +C +C 27 e2t +C

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Q: Find the most general antiderivative. 20) [(3x³ - 8x +2)dx

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