Evaluate using a table of integration formulas. 5 dx 24) XV36 - x2 X-6 +C X +6 A) In +C B) In 12 6 - x C) In(x•V?-36) +« D) In(x+V? +36) +C

Q: |an also converges because 0 If an converges then < lan|, for n = 1, 2, ... n=1 n=1

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Q: value of ∑n=1∞(6an+9bn) if ∑n=1∞an=8 and ∑n=1∞bn=2.

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Q: Evaluate the integral [/4x4 – 12x² +7 xdx (2x2 – 3)/4x4 – 12x² +7 – 2ln|2x2 /4x4 – 12x² + 7|} + c…

A: Given that, The integral is following, I = ∫4x4-12x2+7xdx We have to solve this integral.

Q: 17x + 72x2 -) dz (Use Term by term integration) O (34 + 48 )/I+C O (34 + 482)Vx+C O (34x + 48)V+C O…

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Q: хах Vx2-6х +13

A: Let I is the value of given Integral.

Q: Determine all the non-permissible values of the variable. A) 3j/2j-1 - j+10/j^2-j B) 20x^2+14 /…

A: Non-permissible values are those values for which denominator of rational function becomes zero. A)…

Q: Show that In (x+ Vx? + 1) x2 x + Vx2 + 1 dx x + / 2v x² + 1 X + V x2 + v2 +1 + 1 Vx+ 1 x2 + 1

A: This is a derivative problem

Q: The integral 2a12 + 5x° is equal to -dx 3 x5 + x3 +1 (a) -25 + C (2) +2² + 1)* (b) z10 +C (1 + کے +…

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Q: S√√x²-4x² ex + 4x² e²x 2 X dx E

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: 8z + 129z -) dr = (Use Term by term integration)

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Q: Sum of squares of all the equation O. find the roots roots of 48 -4² +4²²_25+ 4²4_n²³²+x²=x+1=0 भ

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Q: Find A, B, AB, and [AB]. Then verify that |A||B| -2 1 1 ^-[¯² _²]- ® -[ 1 _²] A = 4 -2 -1 (a) |A|…

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Q: السؤال 3 If F= (3t^2+4t)i+ (2t-5) j +4t^3 k then Fdt is 42i-j+80k IO 42i + 2j - 80k .II O…

A: Given that F=(3t2+4t)i+(2t-5)j+4t3k so the given integrate can be we write in the form…

Q: x८७)+ 1) dtx + ५ N25+।-6436

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Q: PC=2х7-5x6+4x4-3*3+2*-4

A: We can use the intermediate value theorem and the fact that polynomials are continuous functions to…

Q: integral of (3x2+x+4)/(x4+3x2+2)

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Q: Evaluate S(e²-x²)(x) dx e2-x2 a) + c b) —е2-х? + c | e2-x2 c) -+ c d) e² – x² + c

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Q: How Hey Find Find the largest product the positive numbers X, Y and Z can have if x+y+z² = 16,…

A: Let  Let

Q: Which of the following are NOT polynomials? I.  \sqrt(x-9) II.   x^8−14x+1 III.  1/2⋅x+0.149 IV.…

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Q: 1 2) ƒ =—= + √xdx X

A: Integrate the following.                                ∫ 1x+x dx

Q: dx 11 J V64x2 - 121 8 11 18 – In-x+ 8 3 A +C 64x2 – 121 B In 1 V64x2 - 121 +C 11 In V64x2 - 121 +C…

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Q: The product of 2x3 + 3x2 +1 and 2x2 + 4 in z5 [x]/ is: X^2+2 None 5x^2+ 5x +1 O 4x+1

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Q: Evaluate x²(x³ +9)¹/² dx 2 +9)³/2 +C Nia O (x² +9) ³/2 +C O C(x² +9)³/2 O x³ +9+C

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Q: 1) x'+ 64 - 0 2) x* - 7x + 12 - 0

A: We have to factorize the given expressions. 1. x3+642. x4-7x2+12=0

Q: 16) 4j(3 – 9j) + (5j + 2)

A: Given:4j3-9j+5j+2

Q: 20x + 102x² -) dx = (Use Term by term integration) O (40/7+ 68æ)va+ C O (40x + 68) Vx + C O (40 +…

A: The given integral is ∫20x+102x2xxdx.