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

Q: Evaluate the double integral. LL. 3 (x² – xy2) dy dx -3

A: first, we integrate with respect to y

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: Find the indefinite integral. Vx +2 -dp- 3 X,

A:

Q: Compute.  integral (ex) / (1+e2x) dx.

A: Solving an indefinite integral using a substitution. If we have some function defined as:…

Q: 10 Suppose that " fx) dx and Ax) dx = -5, and "g(x) dx = -1 and g(x) dx = 3. Compute the given…

A: Given,∫04f(x)dx=7∫02f(x)dx=-5∫04g(x)dx=-1∫02g(x)dx=3

Q: 3. Find the indefinite integrals. (a) /4 dx (b) /2* r 2x-x2 dx

A: Given two functions integrate it by use of formulae

Q: 3 Calculate the integral: dx x² V25 + x2

A: Here first put x=1/t and then the expression inside the square root as y^2. As showing in solution

Q: Evaluate the integrals.

A: To find the value of given definite integral.

Q: 1 Evaluate the improper integral dx. (x – 3)3/2' 3 -

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: dx (x-1)/x²+3

A: From the given problem:   I=∫dxx-1x2+3 ...(1)   Now substitute in equation(1).…

Q: | V5x-4 dx

A:

Q: 1. Evaluate the integrals x³e- dx

A:

Q: 3. Evaluate the following improper integral; -2 2 dx x² – 1

A:

Q: Evaluate the derinite Integral. #5 In(x) dx

A:

Q: Evaluate the integral. HINT: 3 x2 dx J2 x - 1

A:

Q: Evaluate the integral.

A:

Q: Solve the integral: A In/1+ B -In|1+ x 5. 1 3X + C + C 5 x X + X x dx

A:

Q: 7. Which of these is a non-elementary integral? In(2y² + 1) А. -dy 4y e-x cosh(2x) В. c. [ e-x +…

A: Non-elementary integral for a given elementary function is an  indefinite integral that is, itself,…

Q: 1 2x dæ is an improper integral. 1

A: The definite integral is called a proper integral if the interval [a, b] is finite or bounded and…

Q: Compute the integral: -3 dz (z – 2)*

A:

Q: =dx V2x* +3 4

A:

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

A:

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

A:

Q: Evaluate the integral. 3 dx -2

A:

Q: d) Numerically approximate the integral 2+ cos(2Vx) dx by 3 Simpson's rule with 6 strips

A: Given integral is ∫022+cos2xdx. To evaluate the integral using Simpson's 38 rule. Consider the…

Q: Consider the integral 2 6z² In(z) dz

A:

Q: In Vi - dt 3t (b)

A: ln(a)b= b ln(a)

Q: Evaluate the improper integral : S 4x³e¬9*, dx

A:

Q: 1. Compute the indefinite integrals: A. [4x+ Vx dx 3x+xdx В. B. S*dx

A: Question is solved.

Q: 4. Evaluate the improper integral. dx х2 — 1

A: Consider the given integral as Solving the integral

Q: 4.) Evaleuate the integrali Jóxarcsin(5a)dx

A: ∫fg'=fg-∫f'gAnd ∫sinnxdx=n-1n∫sinn-2xdx-cosxsinn-1xnsee below the answer and calculation

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

A:

Q: 3 Evaluate the improper integral :S e2 dx

A: e-198

Q: 4. Determine the following integrals 4.2 - dx - a x

A:

Q: Evaluate the iterated integral. In 4 In 3 4x+ 2y dy dx 0 1

A:

Q: Compute the integral 4x /5 – e2¤ dx. e

A:

Q: Evaluate the integral. Integral of [(x-6) / (x2 − 6x + 8)]] dx from the interval 0 to 1.

A: Given

Q: 2. Evaluate the improper integral S₂ (5. dx (5-x)4/3 or state that it diverges.

A: The given integral,      ∫28dx5-x43

Q: 3. Estimate the integral v2 + x² dx using appropriate of Simpson's rule with step size, h = 0.2.

A:

Q: 2 1. Evaluate the integral: dx 2 x2-x

A:

Q: In x dx

A: Given: ∫lnxx2dx Integrate the given integral using the integration by parts formula.

Q: 1 X° - 1 - dx In x ах

A: According to the given information, it is required to evaluate the given integral.

Q: dx x (In x)5

A:

Q: 9. In evaluating the improper integral dx , which of the following is true? (1-3x)2

A:

Q: Evaluate the improper integral s dx -2 (2+1)4/3

A: Given: To evaluate ∫-201(x+1)43dx

Q: find | (In(x)dx 2 3 Improper Integral

A:

Q: 1. Evaluate the integrals that converge: dx 2x ! dx (x2 + 5)3 b) a) 3-x - 00

A:

Q: Evaluate the double integral : 9 dy dx 36 – 12 - 12 -36

A: