6. Evaluate the integral dx (4x2 + 1)(x² + 4)

Q: 2. Evaluate the integral 4 dx V2x-5 5/2

A:

Q: Compute the integral x 2 dx.

A: In this question we will use basic of calculus i.e concept of integration. We will use simple basic…

Q: 1. Evalute the improper integral 3x dx. 1+ x2 -1

A:

Q: Evaluate the integral dx 2e 2x 3e2x

A: We have to find the value of integral: ∫ex2e-2x-3e2xdx Rewriting the given integral,…

Q: Evaluate the double integral : (3 – 8z) dz dy

A:

Q: Evaluate the integral. 3* dx V3* + 4

A:

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

A:

Q: Evaluate the integral. 5x dx -5x 5x e

A: Given,  ∫5x e-5xdx

Q: Evaluate the integral dx fax √2x-x1

A: Given: I=∫dx2x-x2   As we know the common integral; ∫11-x2dx=sin-1x+C

Q: Evaluate the integral dx (5x + 11)" by making the appropriate substitution: u = dx (5x + 11)

A: To evaluate the given integral.

Q: 4 5y²-8X+6) dx =?

A: To evaluate the given definite integral

Q: 1. Evaluate the integral 5x + 1 dx 2x2 - x -1

A: We can evaluate the given integral by using the partial fraction method.

Q: dx (x-1)/x²+3

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

Q: Evaluate the integral. √3/2 x² V1-x² dx

A:

Q: Evaluate the integral. dx 3 x+Vx² + 27

A:

Q: 1. Evalute the improper integral 3x dx. J ' 1+ x² -1

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

Q: 3 Evaluate the integral: dx 2 Vx -1

A:

Q: 3,2 Evaluate the integral xx + x +2 dx%3D

A:

Q: 5. Find the integral 1 -dx x -5x +6

A:

Q: dx x² + 4xVx X,

A:

Q: =dx V2x* +3 4

A:

Q: Evaluate the integral dx (7x + 6)2 by making the appropriate substitution: u = dx (7x + 6)

A:

Q: 3 Evaluate the integral |x V2x +1 dx ?

A: ∫x22x3+1dx We need to integrate the given function.

Q: Evaluate the integral

A: Given: I=∫xdxx2-7 for evaluating given integral, in given integral we substitute x2-7=t…

Q: Evaluate the integral 1 -dx. 2Va(x + 1)

A:

Q: Evaluate the integral dx ,2 2x x - 3x X

A:

Q: Evaluate the integral dx 2x리x-3월 x2 1 3 + V2x In A + C 2/3"3 - V2 | ® In(2x x - 3{x²) +c 1 In + C…

A:

Q: 2. Use reduction formula to evaluate the integral: fsins x dx.

A: Reduction formula

Q: 6x dx (x³+1)*

A:

Q: 8) Evaluate the Integral x2 + 2x dx

A:

Q: 3x dx x +x-6 2

A:

Q: 2. Evaluate the integral: 2xe-**dx -0

A: topic - integration

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

A: Consider the given integral as Solving the integral

Q: 1. Evaluate the integral 2 dx x2 +4x + 20

A:

Q: 1 uate the improper integral dx. x(In x)3

A:

Q: Evaluate the integral. (7x + 2) dx x2 + 4

A:

Q: Evaluate the integral. 'V3 3 dx /1//3 1x2 X

A: The given integral is,

Q: 5. Find the particular integral of d²y + dy - x2 + 2x + 4 dx2 dx

A: We use the operator method to find the particular integral of the given differential equation.

Q: 7. Evaluate the integral. Vx2 – 25 dx х3

A: First we will make a trigonometric substitution of x=5*sec θ then we will solve it and integrate it.…

Q: To evaluate the integral/ V3 – 3x² dx,

A: Substitute, x=sin(θ)dx=cosθ dθ The expression f(x) becomes,

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: Evaluate the integral. 3x dx 3* +4

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: x- dx /4x – x2

A:

Q: Evaluate integral of (4x - 15) dx over x^2 - 4x +13

A: To find: ∫4x - 15x2 - 4x +13dx

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

A: Given: To evaluate ∫-201(x+1)43dx

Q: dx V4x – x2

A: Given function, It can be solved by converting denominator Into (x-2)2 form Then by substituting  u=…