Question 4 Evaluate the integral *dx, 2" -+C In2 A +C In2 B 2 -+C In2 D +C In2

Q: 2x In -x = 0 =72xIn (x)Texco ーフ-2x1n Cx)メ=0 -> explain in detaill

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Q: you guys got different answers for question 5 part 2, which one is it?

A: The 2nd answer is correct. To see this I upload my solution as 2nd answer is not clearly visible.

Q: DEvaluate ×コ 2x+1 dx

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Q: n Rị |1-Ri Lecen (A) = II [A exp(-AZ,)]“ [exp(-ar)] z.)][exp(-Ar)]" i=1

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Q: dx - x³)². (1 – -

A: Solution: Let Then, singularities  of  f  are  given by…

Q: Prove that for a # -1, a>0,n EN IS (1+a)^ n >=1+na.

A: Here let A=(1+a)n, a≠-1, a>0, n∈N and B=1+na

Q: 1 Show that 2-* d.x 2 In 2

A: We can show the answer in the following steps.

Q: In x /1+ (In x)² -dp-

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Q: (2) DE (D² D²-70³-11 0²-80-12/9=0

A: A detailed solution is given below.

Q: 5) [9*dx

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Q: 2x²+4X+10 2 2- x Ing dx

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Q: 10) [2* dx

A: given,         ∫2-4xdx

Q: 43x+4 dx is equal to 1 x3+4x { A } In 8 {в } In 64 {c} In 25 {D} In 1E

A: Given query is to find the the value of the integral.

Q: zdz ,Z = (2z+1)3 For f O z = u^(4/3) O z = u^(1/3) O z = u^3 O None of the choices O O

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Q: 3) int a=2,b-3,c%3; if ((a>b) || (a=b)) { c=2+a*b;

A: Since a<b so the 1st condition is satisfied. So the loop will run.

Q: d6 1 2-₁ {-101 = ds6(s-7)2-64, 13. If L-1 6₁)} = atbect senh(8t), the value of (a.c) is:

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Q: If Pn: 49^n +16^n + k is divisible by 64 for all natural numbers is true, then the least negative…

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Q: To prove that dx In /1+ (In x)² + In x + C x/1+ (In x)2 we use the substitutions

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Q: Sketch ler=qcose

A: The given curve is  1-r2=9cos(θ)

Q: 22. Expand ~ |- + E + - B) +-# AJ + 23. Evaluate (x8(x² - 2x - 3)dx A) 1 C)-I about x-0 +---+-+E)…

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Q: 3) Plove that (3-21) (x+21) = 3 +2i if it was very valuable X, Z

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Q: Compute *In (9)/5 Jo e5x (e5x + 8)5 dx.

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Q: Z[V-1] is a principal integral domain O True False acer

A: This the question of Ring theory .

Q: Evaluate s 2°ds Oa 2 (sln2-1) (In2)2 2" In2 Oc sin2-1) (In2)2

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Q: True or false: Ftaut (p (q=r)) → (p = (q → r)) ? → Select one:

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

Q: tan (In |4x²|) dx is bin sec (In |(2x)^)| + C. what is b? The integral of (A 4 1 B c) 2 1 D 2

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Q: n! Verify that Ex1+…+xr=n,xi20 r^n for any r, n>1 x1!x2!...xr!

A: Consider the given information. Let n is greater than equal to 1 arbitrary. Use the mathematical…

Q: Let p = 1, q=1, r=0 Find value of the following expression (p^q) v ((p ^r) ^ (q V r)) =

A: Note that 1Ʌ1 = 1 1Ʌ0 = 0Ʌ1 =  0Ʌ0 = 0   0V0 = 0 1V0 = 0V1= 1V1 = 1    We have given p=1, q=1, r=0

Q: Sx²-6X+7)dx= Simpifled

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Q: Prove that x" dx „n+1 + C, n + 1 for n + -1.

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