5 x²ỹ+ 3xỹ + 5y = In (x)

Q: integral of 9(t-1) / t^2(t^2-9) dt

A: Integrate: ∫9(t-1)t2(t2-9) dt

Q: ! 6-Find the value of the integral * U x3/2 e-x dx

A:

Q: Find the antiderivative of xe2x/(1+2x)2 from 0 to 1/2

A: Given the integral ∫012xe2x1+2x2dx

Q: Find the differential equation such that y(x) = c,(x– 1) 2+czln(x – 1)(x– 1)

A: we will eliminate the variables by differentiating

Q: 4. Perform the indicated multiplication of the two differential operators: (D –x)(x²D– 2x).

A:

Q: 2. Express the general solution in terms of Bessel functions: 4x²y" – 4xy/ + (16x² + 3)y = 0

A:

Q: 1 x+1 Integrate: r21?

A: Here we have, I=∫01x+1x2+2x2dx

Q: find integral x3 3) S dx /1-x²

A: We have to find the indefinite integral

Q: 3z - 3r+2 dr. (x-1)(x2 +1) Evahuate the integral

A:

Q: 1 (b) Evaluate the integral S ; dx 2x2-12x+26

A: To evaluate: The integral of . Formula used: Integration Formula:

Q: (2 dr z²–10z+15) Integrate:

A: NOTE: Refresh your page if you can't see any equations. . take long division

Q: 2+3x-7) X-2 dx Evaluate the integral: Se A²+ +In|3x-6|+C Ⓡ 1/²/₁ 2²+5x+! In/x-21 +C B 3 x²+5x+In…

A:

Q: 1: Evaluate the integral 3x - 1 (x + 4)(2x - 1) I -dx.

A:

Q: Find the antiderivative of: xn+1 [(n + 1) In x – 1] if n+ -1 x" In x dx = (n + 1)² 1 (In x)² + C 2…

A:

Q: 1. Perform indicated multiplication on the Differential operator D. (xD-8) - (xD+3)

A: we need to multiply the given expression: (xD-8)(xD+3)

Q: integral from 1 to 2 of (e1/x^3 ) / x4

A: To evaluate

Q: - Find a differential operator that annihilates the function f (x) = xe4* – 7x

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

Q: 6 1) Find the general antiderivative for f(x) = 1+ x?

A:

Q: 4. Solve (D² -1)y=(x² +2x² + x +6)e²* using differential operators method.

A: Given D2-1y=x3+2x2+x+6e2x

Q: 4х+2 Evaluate the integral -dx. (Hint: Use Algebra to help further rewrite your (x² +1)(x=1)…

A: First break by using partial fraction then integrate

Q: 1. Evaluate the integral [(4z° +3z2 +2z– 6) dz

A:

Q: 3. The differential equation 3y(r -1dx+(x' +8y-3xdy 0; is exact because ам ON

A:

Q: 1 Find the most general antiderivative of the function x3 + 4x

A:

Q: a) [ Evaluate the integral 4x - 1 (x + 2)(2x - 1) S -dx.

A:

Q: 2. Find the integral 2x+3 dx x2-9 a. In/(x – 3)³(x + 3) + C а. b. In[(x – 3)³(x + 3)] +C c. 2ln[(x –…

A:

Q: 10.) Find the integral of* 3 (-4y ) ( +14y-7) dy

A: We need to evaluate ∫3y6-4y-3y7+14y-2-76dy                          (1) Let y7+14y-2-7 = t On…

Q: S de x² –2 x+1 A x2 --x - In Ix + 11 + C C x2 +x - In Lx + 11 + C B x² -x + In Lx + 11 + C x2 +x +…

A: Given ∫x2-2x+1dx. The objective is to evaluate the integral.

Q: x²-2x* 5. Integrate with respect to x x4

A:

Q: 5x dx. - 6 Compute the integral x2

A:

Q: Evaluate the integral. 3x-7 (a) S- dx x2-2x-8

A: Answer and explanation is given below..

Q: Solve (D² – 1) y =(x³ +2x² +x +6)e²* using differential operators method.

A: Differential equation.

Q: A. Perform the multiplication on the differential operators. 2. (xD-2)(D+4x)

A:

Q: 8x + 1 10. Evaluate the integral / dx. 4.x2 + 12x + 10 11 (a) In |4.x2 + 12x + 10|| tan-(2x + 3) + C…

A:

Q: Find a linear differential operator (of lowest order) that annihilates the given function: f (x) =…

A:

Q: dx Evaluate the integral: (+3x-7) A ++ In|3x-6|+C 5 +5x+! In/x-21 +C B 3 с +5x+31n|x-2|+C D x² + 5x…

A: You must have idea about logarithmic properties to simplify this expression. Understanding of…

Q: Use order reduction to find the solution of the differential equation. 4x²y"+y= 0; y, = x² In x 1/2

A: Let y1(x) be non-trivial solution of differential equation y''+p(x)y'+q(x)y=0 and let…

Q: 4. Evaluate the integral 3x2 + 13.x + 11 dx I (x+1)(x +2)²

A:

Q: 9-x2 B: Find the integral S 18-x2-y xydzdydx.

A: We have to calculate the given intregration

Q: 3. Find the integral x² +12x +12 dx x' - 4x

A: Given,            ∫x2+12x+12x3-4xdx

Q: 3. Find the integral. 2x dx x2 + 10x + 29 а.

A:

Q: 6. Evaluate the integral. x³e2x dx

A:

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

A:

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: – 30 - Evaluate the integral: -d.x x2 Vx2 + 16

A:

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

A:

Q: -X +7 Evaluate the integral: dx (x-2)(x+3) In x - 2|+2 1n x +3 +C 2 In |x – 2| – 2 In |x + 3|+C 2…

A: First of all we will do partial fraction, then we will evaluate the integral.

Q: 3 Evaluate the definite integral dx. (x- 5)4 -2

A:

Q: (7Vx2 7V22-9 6. Evaluate the integral: dx x4

A: Given that I=∫7x2-9x4 We can use the substitution technique.

Q: Use the properties of differential operators to solve for the product of : (D +x2)(xD+ 2)y

A:

Q: In ( x² + 3x -=-7) dx X-2 Evaluate the integral: Se Ⓒ + A x² 2 =+ + In|3x-6|+C ℗ +² +5x+3n|x-2/+C B…

A: To find out the integration.