Evaluate: f 3√ dx √(3√ +2) In (3√ +2) O None of these 2 ln | In (3√ + 2) + C O2ln(3√² + 2) + C In O2 In 3 Ƒln | ln(3√ª + 2)| + C In

Q: To evaluate the integral O of du √a² + u² u² du udu √a + bu Answer: u = What is the function u? What…

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Q: Evaluate the following intergral: S6√³36 - x² -6√√36 1 5-x2 (1+x² + y2)2 dy dx

A: We find the value of the integration by transforming the coordinate system from polar to Cartesian…

Q: Which of the following statement is true in ZZ? O O O (0=1+x)^AXE (0=A+X)^EXA (0=1+x)^AXA None of…

A: We want to find true statement.

Q: 3. a) Express each of the following in terms of a power with a base of 2. 12 (√16)(√√32)³ b)

A: The given expression(a) (b)

Q: from x = 2 to x = 10 and x; is any value of x in Ex¡. Express lim s as a definite integral. n-x n D…

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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: * 5.8x √4x²+5 dx 2(4x²+5)³/2 A. +C 3 O A. OB. O C. * 6. f 35x-1 A. 35x-1 In 3 O A B 5x-1 dx C + C…

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Q: b) 0.6' Rational Irrational

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

Q: Drove: am t (att)" =1 +a(it()m=) Cmod acate) Where a, ore integers. n

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Q: 1 πα (m2 + 3) V (m2 + 1) + 4 dx 6

A: Given data : ∫121πxx2+3x2+12+46dx

Q: s x + 4 x² + 2x + 5 - dx

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Q: 9. dx 64+x2 Evaluate O 9Tt 8 оп 9Tt 8

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Q: 1 S dx = 3x+2 0-²(3x + 2) + C O 2√3x +2+c 3 O²(3x + 2)² + C A O√3x + 2 + c

A: The given integral is: I=∫13x+2dx  ...1   As we know the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1

Q: 6e2x 1-etx Select one: -dx = O a. 6sin ¹e²x + C O b. In√√1-e4x + C 3sin-¹e2x + C O c. O d. 3√1-e+x+C

A: We need to find out the integration."Note that as per the rules, when the multiple questions are…

Q: Prove from the definition: n3 + 65n2 + √n = Θ(n3)

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Q: dx x²√4x² √ a. C. √4x² 4x √4+x² X + C + C e. None of the above. b. O d. 4x √4x² X √4+x² + C +C

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Q: Evaluate ₁² 2¹-132²+¹ dx .

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Q: 20) f In x x√4 lnx-1 dx

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Evaluate by Residue Theorem dx Soo JE(142 +22) Jä(1+x+z2)

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Q: d (sec-¹(2)) is equal to O O 1 2 √√4-1 1 In 2√4-1 O 1 √4¹-1 In 2 √4-1 In 2 2√4-1

A: Solution: ddxsec-1(2x) Apply the chain rule : df(u)dx=dfdu·dudx f=sec-1(u), u=2x =ddusec-1(u)ddx(2x)

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: д 1 Option 1 Option 3 1 1+ 3x2 2√3 9 2 3 3 dx Option 2 Option 4 √3л 9 √3л 3

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Q: Evaluate Sc (5x+2√y) ds ds where C is given in the accompanying figure. CH (1,1) 1- Z y=x y=x² X…

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Q: Evaluate: +(1+x+x² + x³)e-4x² dx Evaluate ¹/² √cose de 0

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Q: Fill in the blanks with the correct expressions that you would multiply each rational by so you…

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Q: If n = 12 m (me N), prove that "C₂ (2+√3)² "Co- - + "C4 (2+√√3)4 n "C6 (2+√3)6 ·+···=(-

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Q: V9x2+4 dx V9x2+4 +c V9x2+4 +c 3

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Q: Which of the following is equal to 1-√3|? 01-√3 O√3-1 O (1-√3)² O√2 O√

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