dx x* + 1 3

Q: _x – 1 dx |2x – x²

A:

Q: How to evaluate the integral of [(dx)/(9-x2)(3/2)]

A:

Q: Find the integral

A: Integrate∫3xx−2dx

Q: Evaluate the integral x dx. -4 3 |x| dx =] -4

A:

Q: Find the integral. Show complete solution. x+4 dx X-4 1.

A: ∫x+4x-4dx

Q: Q3. Use tabular integration by parts to evaluate the following Integral (x² +x+ 1) sin x dx

A:

Q: What is the integral of x2(2-x)^(1/3) dx on the interval [1,2]?

A:

Q: 2 x ln((2x)²) dx 1

A:

Q: S ex √1-e²x dx

A:

Q: | V5x-4 dx

A:

Q: S 8-3x (x+1)(x² − 4x+6) - dx

A:

Q: Evaluate the integral. (Use C for the constant of integration.) dx x² - 3

A:

Q: dx (1 – x3

A:

Q: 4 dx x4-1

A:

Q: What are two options for finding the indefinite integral below? ∫ 5t dt

A: ∫5t dt First option: We can integrate it directly by using the formula ∫xn dx=xn+1n+1+C, we get ∫5t…

Q: Evaluate the integrals: 1. f2-* dx √x (ln 2-1) dx 2.

A:

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: solve the integral: I1= integral of 1/((x-1)(x2-4x+1)) dx

A:

Q: Find the indefinit integral of (3-2x)2 dx

A: Given ∫3-2x2 dx

Q: Evaluate the integral. (Use C for the constant of integration.) | (4x* - 2x-2 + 3x-5 + 5) dx

A:

Q: Identify an analytic anomaly why numerical integration formulas will fail for J_11-x² sin(ax) dx.…

A: Given integral is∫-11sinπx1-x2dx

Q: Find the integral of- :(e*-1) dx. (ex+1)

A: Simplification of the given function helps to find the required integral. Substitution of the…

Q: 1 |xe*dx 1-

A:

Q: state what method applies and how one applies it, but do not evaluate the integral:

A: To Determine: state what method applies and how one applies it, but do not evaluate the integral:…

Q: Evaluate the integral –4x3/2 In(x) dx, x >0 Note: Use an upper-case "C" for the constant of…

A: Evaluate the integral

Q: Evaluate the integral.

A:

Q: Q3: Use integration by parts (Tabular method) to find the integral (2³_2 x² + 3x +1) sin(2x) dr

A:

Q: Evaluate the integral ∫(5x -1)2 dx by two methods: first square and integrate, then let u = 5x - 1.

A: To evaluate the integral ∫5x-12dx

Q: dx -x - e

A:

Q: Calculate the integral of x(1+ 3x)° dx .

A:

Q: Select the basic integration formula you can use to find the indefinite integral, and identify u and…

A:

Q: Select the basic integration formula you can use to find the indefinite integral, and identify u and…

A:

Q: What is the integration of this??

A: To determine the value of the integral.

Q: Evaluate the integral -1 dx x² + 16 Note: Use an upper-case "C" for the constant of integration.

A: LetI=∫-1x2+16dxTake the constant out:  ∫a·fxdx=a·∫fxdxI=-∫1x2+16dxI=-∫1x2+42dxPur x=4tany…

Q: dx -> X-VX dx 12 X-(X) b.) =In (x-1x)?

A: Solve the given integral

Q: How many times do you need to integrate by parts to reduce ff(In x)° dx to an integral of In x? ·

A: Given integral is ∫1eln x6dx

Q: Select the basic integration formula you can use to find the indefinite integral, and identify u and…

A: This integral comes under substitution and the substitution is,

Q: 4x √x² - 1 2 s dx

A: Solve the integration

Q: Evaluate the integrals.

A: Evaluate, ∫22dxxx2-1dx

Q: 2. xem di

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

Q: 3 -dx 4 - x

A:

Q: 1 dx x+1 1

A: Evaluate improper integral

Q: dx V1-x -1

A:

Q: In x dx

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

Q: Q3: Use integration by parts (Tabular method) to find the integral (r³_2 x² +3x +1) sin(2x) dr

A: The given integral is ∫x3-2x2+3x+1sin2xdx To solve the integral using by parts .

Q: 5. fx³√√4 - 2x² dx

A:

Q: Using tabular integration, the integral In 2 S™ (-2x + 1)e²x dx is equal to

A:

Q: Evaluate the indefinite integration. ∫?^3√(1+?^2)??

A: The indefinite integral of any function f(x)=p(q(x)) q'(x) can be evaluated using substitution of…

Q: Q9] What is the residue? Its role in integration? Explain methods to obtain it.

A: We use residue formula, to solve any integration.

Q: Ĵ3xco0s(4–x²)–8xV4-x° dx

A: