4. x'e* 3. Expand In (+1)

Q: (In x)* Integrate: 1

A: Given,            ∫1eln x4xdx

Q: Find the first derivative of * An(In(In x)) 1 x In x (x In(In x)) In x In(In x) Option 2 Option 4 1…

A:

Q: Evaluate the integral of ax^2 e^-bx dx

A: We will use the "integration by parts" method to find the evaluation of the integral.

Q: 4. P1,500 payable semi-annually at 6% effective o bn qon

A:

Q: Use (3) from Section 5.4 to evaluate the integral. In 9 ex dx =

A: Integration of e^x is itself

Q: 1/2x (In2) In x (use L'hopital's Rule)

A:

Q: Compute ₁₁x dx using the concept of integral as limit of sums.

A: The given integral is ∫-11xdx use the properties of integral: ∫abf(x)dx=∫acf(x)dx+∫cbf(x)dx, where…

Q: Use (3) from Section 5.4 to evaluate the integral. "In 4 ex dx =

A: INTEGRATION problem.....

Q: السؤال 2 when hv hvo Electron is ejected from surface of metal ylgn O

A: Since we know that​ The ejected electrons have a distribution from 0 to  hv-hv0

Q: Compute 3 In(x² + 1)dx=

A:

Q: 5. Show that Beta(a,b) belongs to the 2-parameter exponential family

A:

Q: Use the Simpson's Rule to evaluate the integral fx|x²dx 1

A: Given integral is ∫−11xx2dx. We have to evaluate the given integral by using Simpson rule. Here,…

Q: Find of z = In(xy)

A: Given,Z=ln(xy)differentiating both the sides partially w.r.t. x∂z∂x=1xyy1∂z∂x=1xagain differntiating…

Q: O Use a linear approxi mation (differential) to estimate 3999

A:

Q: 7 Evaluate the improper integral, if exists : dz (5 - 2)3

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Q: Inx dr Lim их 3.

A:

Q: Show that integral 0 to infinity e -x 2 is convergent.

A:

Q: 3 2 Evaluate the improper integral: dx Ji33x– 1

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Q: Compute integral-11  3x -√1-x^2  dx

A:

Q: Find the area bounded by the curve y = x² – 6x + 5 and the x-axis from -2 to 2 using %3D Riemann…

A: area bounded by curve using Riemann sum

Q: Compute the integral ∫x√1+x2dx.

A:

Q: nsist only of of even length. Generalize to find the EGF number of ations that consist only of…

A: To find: (1) The EGF for the number of permutations that consist only of cycles of even length.…

Q: 59. Show that 1- sin x dx converges. x? 00

A:

Q: 2. Use the Comparison Theorem to show that the improper integral dax Va4 diverges. Provide a full…

A: Comparison test:

Q: lox e |

A: we integrate the given function . see 2nd and 3rd step.

Q: S 2tanzx

A:

Q: Which of the following formulas describes an autoregressive (AR) process?

A: Write the AR process (autoregressive process) of order p

Q: 99. Show that 00 cos x dx is absolutely convergent.

A:

Q: 1. find the de rivative 3 Inx

A:

Q: .5. Compute integral -3 (2.p) -5 5.

A: Given: So, we have f(x)=0,   x≤2c,   x>2.

Q: Compute. integral x2arctanx dx.

A: It's a integral question so I'm provided hand written solution.

Q: 4. Evaluate the integtral. (1) S dt 3

A: To evaluate the given integral we will use the following rule of integration: Now we have:

Q: 6. The improper integral 1 dx converges to х -5 попe 2 1 4

A: We have to find

Q: Evaluate the integral. ( x³ In 4x dx

A: Given, ∫x3ln(4x)dx

Q: How is l'hopital's rule used for 1^infinity?

A:

Q: to itself. Show all your work to recei

A: given as,

Q: 23-4214X Evaluate th integral.

A: The integral is evaluated below

Q: 1. Express into parital fraction. Hence evaluate y2 -4 *2-4

A: according to our guidelines we can answer only three subparts, or question and rest can be…

Q: Proved that cosh fas/ (cashZ+L)

A: To prove :  cosh2z2 = 12cosh (z) + 1

Q: 1. What should be A for the path independent of (2,4) xy + A 2Ay – x + xp- y? fip- (1,2) Moreover…

A: According to the given information, it is required to find the value of  so that the below integral…

Q: Compute 0. pleafe be Fimft e Fast and Show your wonkings.

A: See the attachment

Q: Evaluate the improper integral x3

A:

Q: 7. Evaluate the improper integral whenever it is convergent. { (x+1)*

A: Here given integration as I=∫2∞1x+13dx Now Put x+1= u ⇒dx=du

Q: Evaluate the integral In (x) -dx if it converges. Submit "undefined" if it diverges.

A:

Q: Choose the most appropriate answer: Evaluate the integral : S(19 Inx) dt O 38(2 ln 2 + 1) o 19(2 ln…

A: The integral is ∫12(19 ln x)dx

Q: 3-Expand In [x? sin³ x /vx2 +1]

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Q: Use (3) from Section 5.4 to evaluate the integral. In 6 e* dx =

A:

Q: Evaluate 1-(In x) x In x -dx

A: