2. {em }o 3n00 In-0 'n=0

Q: Find the indefinite integral.

A: Given: I=∫5t+63dt  ……1

Q: 2- Find O for: y= In (x+5x) dx

A: Tpoic- Differentiation

Q: 6. Evaluate the integral ex e* +e-xdx

A:

Q: Evaluate the integral. In 2 2 e sinh 0 d0 - In 10

A:

Q: e ax dx

A: 1. Let In=∫xneaxdx. Use the integration by parts formula ∫udv=uv-∫vdudxdx to evaluate the integral…

Q: Csin $ 3 y cos*3 ychy

A:

Q: 6. Evalvate the Integral S13 sec O tan? o do =

A: ∫13sec4θtan2θ dθ

Q: Find the indefinite integral.

A:

Q: 1 Find the indefinite integral || e* + dx 1+x?

A:

Q: 25 dx Evaluate the integral 10 x(In x) 5

A: We have to evaluate the integral: ∫525dxxlnx10 This will be solved by substitution method since…

Q: In( cosh(3x)+sinh(3x) )= Select one: O- 3x 01 O None O 3x O3 sinh(3 x +

A:

Q: The integral (o sin(xx) sin(nax)dx + o sin(5x) sin(nx)dx) Select one: if n = 3 if n = 5 3L 0,…

A:

Q: 5. Compute the indefinite integral - 4e2* + 6x – 5) dx.

A:

Q: Express lim,00 E= cos( + ) in integral notation. i=1 _2n

A: Since, the above equation is given in the form of Riemann's integral, which is given by-…

Q: %3D In( cosh(9x) + sinh(9x)) + In( cosh(9x)- sinh(9x)) = Select one: O None 0 9 O zero O9 cosh(9 x)…

A:

Q: O Approximate So In (3 + sin x)dx using Simpson's Rule with(n = 4 %3D

A:

Q: 18. y = (In 0)" > dy de = T(In 0)-1) () T(In 6)(-1) %3D

A:

Q: 1) Find the Smallest n such tuet fue emor estim ate from fue formila g tue definite integral in tue…

A: Introduction: Trapezoidal rule is a significant method to approximate the definite integral…

Q: Evaluate the integrals in ∫8 e(x+1) dx

A: ∫8ex+1 dx Put  x+1=t⇒1+0=dtdx⇒dx=dt

Q: 7 sin x dx 1 + cos x - In(128) - O In(2) O In(128) O In(7)

A:

Q: Find the indefinite integral L 교리ln(2x)dz 4 O In(4) O None of the Above

A:

Q: In(3) e Ver +1 dx In(2)

A:

Q: In x /1+ (In x)² 6 S -dx

A: Given query is to eveluate the integral.

Q: 3) = + sin (4) r = y(In y- In r+1)

A:

Q: INTERGRATE THE FOLLOWING: -0.33 (1). S [8.5244 x 10 (1 – cos(4.759x)] dx ,0.33 (2). [8.5244 x…

A: It is an Integration problem. I used substitution method to solve the second question. I  evaluated…

Q: Evaluate the integral: S(6 + 5x) dx dy 22 44 O 4 O 2

A: Double integration

Q: In( cosh(8x) - sinh(8x)) - In( cosh(9x) + sinh(9x) ) = Select one: O zero O 17x O None Ox O 8X O- 17…

A:

Q: Evaluate the integrals

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

Q: The approximation of 3x e sin(2x) dx by Simpson's Rule is 2.584696

A: We have, ∫0π4e3xsin2xdx Let Number of subintervals be 30.…

Q: Evaluate the indefinite integral. 5 dt (t + 7)³

A: Given: ∫5t+73dt we know that ∫dxx+km=x+k-m+1-m+1+c

Q: Evaluate the double integral. eln 3 3 7 dx dy In x ey In 3 3 7 dx dy = (Type an exact answer in…

A:

Q: tan (x)dx = %3D O None In 2 /3 - *+ In 2 4 글 In(을) TC 6/3 - In 2 /3 - In 2 || 4

A:

Q: 42. What is tan 0-1 Ove IN/MS/N/N 2 0_V2 2 O √3 377 4 2 ?

A: tan (π - x) = - tan x

Q: Find the indefinite integral. 5. 3 dt 12 +C

A: Formula: ∫(1/x) dx =lnx ∫xndx = xn+1/n+1

Q: 57 Evaluate the integral |[xy dy dx. 12

A:

Q: En=1" Vn sin а. 1 b. 2 c. Converge

A:

Q: 3 Evaluate the improper integral :S e2 dx

A: e-198

Q: Can i get help step by step?

A: We separate the integral into two parts

Q: D n In (1+ n=1 n16 arctan E 5" In (1+ > sin n=1 2n+1 n=1 F

A: We have to choose the convergent series according to the given options

Q: 10. Find the indefinite integral 5x'e dx

A: Given,          ∫5x2ex3dx

Q: L{ett sinh? (2t)} 8(3s2+6s–16) (s+1)°(s²+2s–15) 8(3s2 +6s-13) (s+1)°(s² +2s–15) 3s2 +6s 16 (s+1)(s²…

A: To find Le-t t sinh2(2t)

Q: 3. Prove that So 0 1 x + ex -dx = n=1 (−1)n−1(n − 1)! nn

A:

Q: Evaluate 1- x? dx 0. by Simpson's rale with n=5

A: Here fx=x1-x2 The interval is 0,1 and n=5. Hence the interval is divided into 5 equal parts.…

Q: 14. Find the antiderivative of 5sinx In 5 cos x .

A: Follow the procedure given below.

Q: Evaluate the indefinite integral as an infinite series. cos(x) – 1 dx + C n = 1

A: sol: Given ∫ cos x-1x              consider  cos x-1x = -1x+ cos xx…

Q: L{sin(3t +2)} O(s sin (3) + 2cos (3))/ (s^2+4) O (s sin (2) + 3cos (2))/ (s^2 + 9) O (s sin (3) +…

A:

Q: Show that +2100 kT te kT = [0 – 0] = 0; t from 0 to o

A: We need to show thatkTte-t2KT0∞=[0-0]=0where t from 0 to infinity

Q: 169 dx Evaluate the integral x( In x)° 13

A:

Q: S az lnz (In z + 1)dz z In

A: ∫azlnzlnz+1 dz Put, z lnz=u⇒1·lnz+1z·z=dudz⇒lnz+1=dudz⇒lnz+1 dz=du

Q: 430 CHAPTER 5 Integrals 32. sin(In x) dx

A:

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.