5. Write down an integral that can be solved by usingintegration by parts with u = x and another integralthat can be solved by using integration by parts withdv = x dx.

Q: Evaluate the integrals ∫36 dx/(2x + 1)3

A:

Q: Solve the integral shown below. . S | xsin xdx

A: Given problem:- ∫x sin(x)dx

Q: I. Find the following integrals. – 8x +5)dx 2. [(-6x' +9x² + 4x - 3)dx 1.

A: 1. Consider the given integral. I=∫5x2-8x+5dx

Q: Evaluate the integrals

A: Integration means addition. It is used for adding continuous function which can't be added by simple…

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

A:

Q: Suppose fhas absolute minimum value m and absolute maximum value M. Between what two values must |…

A: Apply formula for finding correct option

Q: Evaluate the integrals

A:

Q: 1 use this fact and the properties of integrals to evaluate dx =3 (7 – 6x2) dx. Given that

A:

Q: Evaluate the given integral. Use integration by parts 4x' In(5x)dx

A:

Q: 2. Identify which of the following integrals are improper: 1 1 dx 1 fin(x)dx 1 X +3 1 fe* dr -dp- 3

A:

Q: 4. dx 3. 2

A: Given: I=∫24x3-4x2dx We know that ∫xndx=xn+1n+1+c…

Q: Evaluate the integrals ∫dx/√(9 + x2)

A: To evaluate I=∫19+x2dx

Q: 2. a) Evalute the following improper integrals 6. dx 3 3

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

Q: 6. Write down an integral that can be solved by using integration by parts with u = sin x and…

A: Write down an integral that can be solved by using integration by parts with u = sin x and…

Q: dx (apply the properties on how to solve improper integrals 1 – x²

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

Q: Evaluate the integrals below: 1 2y .dx cos3x а) .dx, b) 0. lelsin3x – 1)

A: Here I am attaching image so that you understand each and every step.

Q: Evaluate the integrals

A: Given integral to evaluate ∫-44xdx The modulus  function is given by  x=x        if x≥0-x    if…

Q: [x² In x dx

A:

Q: Use any method to evaluate the integrals ∫x cos3 x dx

A:

Q: 2. S(16x3/5+ 3e*) dx

A:

Q: Evaluate the integrals using the substitution method of e8x dx

A: To evaluate the integral: ∫e8xdx Solution: Let substitute t=8x. Differentiating both sides, we get…

Q: by taking |In x · dx: solution of the integral with Simpson's 1/3 method Inx n = 2 which one? 1

A:

Q: evaluate the integrals 5x^3/1+x^8 dx

A:

Q: s/4 dx 2- 1+tanx 3.

A:

Q: Evaluate the integrals.

A: The given integral is ∫022x+13 dx. Evaluate as follows.

Q: Evaluate the integrals in ∫e-1/x2/x3 dx

A: ∫e-1x2x3 dx Put, -1x2=t⇒2x3=dtdx⇒1x3 dx=dt2

Q: Find the integral

A: To integrate ∫ln|4x+5|dx, use the substitution method and consider 4x+5 as t. Differentiate both…

Q: Use any method to evaluate the integrals ∫ 1/x4 - 1 dx

A: Given:∫1x4-1 dx

Q: 2 Which of the following integrals is equal to (3x – 5) dx if u=3x – 7?

A:

Q: 1. Evaluate S x³V1+ x² dx using Integration by parts.

A:

Q: Find the integral. √(x + 1)e 6x² + 12 е 12x dx √(x + 1)e 6x² + 12x dx = [

A:

Q: Evaluate the integrals: 1. ftan5 x dx 2. f sin 2x cos 3x dx

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

Q: Evaluate the integrals in ∫(ln x)3/2x dx

A: Consider the given integral, ∫lnx32xdx use the substitution, t=lnxx=etdx=etdt so, the integral…

Q: 8. [In(x² + 1) dx

A: Formula for Integration by parts: ∫fg'=fg-∫f'g

Q: Evaluate the integrals in ∫ex/2 dx

A: To evaluate ∫ex2dx

Q: Question 6 Evaluate the integral by using a substitution prior to integration by parts. In (9x +…

A:

Q: S sin x In(cos x) dx

A:

Q: Evaluate the integrals in 1 1. Vx(1 + x) sin x sec x dx

A:

Q: d) Prove the results of the integrals 3 dx = 2+ In (2)– 4 [In (5)– In (3)]. x² +3x +2

A:

Q: 2. xem di

A: The given integration, ∫xe3xdx use integration by parts, ∫u dv=uv-∫v du use the formulas,…

Q: by taking n = 2 • dx solution of the integral with Simpson's 1/3 method which one?

A:

Q: dx 28 – 12x – x X

A:

Q: Evaluate the integral of ex*+1 2x dx.

A:

Q: In x dx

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

Q: 2 Which of the following integrals is equal to (3x – 5) dx if u =3x – 7?

A: Given∫123x-5dx

Q: Evaluate the integrals ∫cos3 4x dx

A: ∫cos34x dx

Q: S*Sx² sin(xy) dydx

A:

Q: Evaluate the integrals ∫8 sin4 y cos2 y dy

A: the given integral is: ∫8 sin4y cos2y dy we have to evaluate the given integral.   let the given…

Q: In x dx

A: To Solve for the integral