37. What is the value of the given integral? dt |(-log,t) o VIT • None of these o -VT 2

Q: Find the indefinite integral.

A: Given: I=∫5t+63dt  ……1

Q: 1. Evaluate the integral using integration by parts 75/2 In x dx

A: The formula for integration by parts is Let, That implies,

Q: Calculate the integral approximation S12 for Si ²1 dx. +1 S12 =

A:

Q: Match the integrals from negative infinity to time twith their corresponding functions that are zero…

A: Given graph of the functions 1. 2.

Q: 2) Evaluate the following integral: In 2 log2 (x + 2) dx x + 2

A: the given integration is  ∫log2(x+2)ln2x+2dx

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

A:

Q: 1. Approximate the value of each of the following definite integrals using: i. Trapezoidal Rule

A: As per Bartleby's answering policy, we can answer only one question, so kindly post the remaining…

Q: evaluate the given integral.

A:

Q: Evaluate the integrals in ∫x(ln 2)-1 dx

A:

Q: Evaluate the integrals

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Q: Find the indefinite integral.

A:

Q: Evaluate the improper integral: e-X dx

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: valuate the indefinite integral. 7 dt (t + 1)?

A: Given query is to eveluate the integral.

Q: Find the integral for the following : 3- Sdx dx 1 1- : 2- S e-*sec² (ne¯*)dx 2Vx+2x 1+ex

A:

Q: 2.) Evaluate the def inite integral dx o x²+4

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) dt t4 + 1

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) xp J xV81 - (In x)²

A: The given integral is ∫9x81-(ln x)2dx. The integration of 1a2-x2=sin-1xa+c, where c is constant.

Q: 4. S)(1-x²)dx 5. S(e2t)dt

A:

Q: Calculate the integral approximation S12 for Si dz. 5+1

A:

Q: Evaluate the indefinite integral. 3 dt (t + 8)5 + C

A:

Q: e3x dx e3x+5

A: Please go through the attached solution. I hope that this solution will help you. Thankyou . Best…

Q: Evaluate the improper integral e-1/x dx

A:

Q: Find the indefinite integral dt t4 + 4

A:

Q: V A

A: ∫x1+x2dx=∫2u4+u2du=2·∫u4+u2du=2·∫2v24+v4dv=2· 2·∫v24+v4dv=2· 2·∫ -v4v2+2v+2+v4v2-2v+2dv=2·…

Q: Compute integral below with the use of substitution. eð 1 -dx x In° x

A:

Q: Evaluate the indefinite integral: ∫e3t−4 dt

A: Solution:Given      let     I=∫e3t-4dtFormula:∫exdx=ex+C

Q: Find the indefinite integral

A: Given: ∫tt4+25dt

Q: 1. Find the values of the following improper integrals with unbounded domains of integration, if…

A:

Q: 4 2 - VE dt t2 1

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: 4. ſ sec*xtan3xdx 5. ſ cot³xcsc³x dx

A:

Q: Evaluate the definite integral using integration by parts.

A: Recall the following fact.

Q: Calculate the integral approximation S6 for 0 -1 4-² dx.

A: In this question we have to find the Integration.

Q: 4. Evaluate the integral: In6 -2x + sinh 2x|dx e2x + e-2x

A:

Q: 3 Evaluate the improper integral :S e2 dx

A: e-198

Q: 27. For what value or values of a does ах |dx 2x x² + 1 converge? Evaluate the corresponding…

A:

Q: t3 et" dt

A: Given, ∫t3e-t4dt We have to evaluate the indefinite integral.

Q: Calculate the integral approximation S12 for 1 dx. x²+1 S12 =

A:

Q: Evaluate the integrals in ∫e1/x/x2 dx

A: Our Aim is to evaluate the integral given below:-I=∫e1/xx2dx -(i)

Q: 3. Find the value of c guaranteed by the MVT for integrals for f(x) = cos(x), [-; 3'3 ] over this…

A: f(x)= cosx  , [ -π3,π3]as per MVT for Integrals for a function f(x) bounded and integrable on [a,b],…

Q: If the integral of /x + 1 dx from x = 0 to x = y is equal to 14/3 , what is y?

A: Substitution Method is used

Q: Calculate the integral approximation S6 for 2 2-a" dx. 1 S6

A:

Q: 2 Evaluate the improper integral e4z dx, if exists. a) The nature of the integral is:

A: Explanation of the solution is given below...

Q: 7) Evaluate the integral Ver+9 dy

A: #7 as per demand Solve integration with help u substitution

Q: dt t/ 12 1r² – 16

A:

Q: 7 Evaluate the improper integral, if exists : dx (5 – x)3

A:

Q: In x dx

A: To Solve for the integral

Q: Evaluate the indefinite integral. 4 -dt (t + 10)° + C

A: Given: Let I=∫4t+106 dt To Find: To evaluate the given indefinite integral.

Q: Q3: Find the integral for the following functions: - -6 dx 1) L 2 x+2 2) S 3co t(x). csc²(x) dx 3)…

A:

Q: Q5: Compute by part the following indefinite integral Sx. In x dx

A: Given  that a integration and we solve it by part. We know that integration of Xn  is -  = Xn+1/n+1.…