C e²cos (z² + 4) z²+9 -dz; C: |z2| = 2

Q: 3 2x dx 2? - 4х + 5 C. 2)

A:

Q: x1 J: (x2+2x)2 dx= (x2+2x)3 C (x2 2x)3 C + 3 (x2+2x)3 +C 6 22-1C + -2 2x)1+C

A:

Q: 2x+3 a) S; dx x2-3x+2

A: We integrate the following by using substitution rules and factories the denominator.

Q: when y = In(2x – 4x). -

A:

Q: (x + 2)2 + (y + 1)2 =

A: Use the formula a+b2=a2+b2+2ab (x+2)2=x2+22+2(x)(2) =x2+4+4x Also, (y+1)2=y2+12+2(y)(1) =y2+1+2y So,…

Q: Find L{t?e-4t - e-2tsin (v2t)}

A:

Q: S Vi+ V2+3xdx

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

Q: 3 2. x1 + x² dx

A: Definate integration

Q: メ Find dy S-3xメ+)X-2) (x211) (2X+3)

A: We have to find the derivative of y

Q: D6 + 3D4 + 3D2 + 1) = 0

A:

Q: Simplify (ex)5 . e(7x + 6) to the form eA x + B) = eC. eDX where %3D A = B = C = D =

A:

Q: (2 + j)?

A:

Q: Find the 4** x³ dx А. + c 4 In 4 В. + c 4 In 4 С. + c 3 In 3 D. 24 2 In 2

A:

Q: 3. (D5 –Dª – 2D³ +18D² –31D+15)y =0

A: Given differential equation is D5-D4-2D3+18D2-31D+15y = 0

Q: Q7. Evaluate the following: (x+3)dx -5 -2

A:

Q: Please find cross product c=a x b, where a= and b =. For c=16i+0j+?k, please enter the missing k…

A:

Q: 2 15х? -13 dx - 14х За +2

A: We will apply long division to solve integral

Q: B) fometie w= xty+y2-23, x²ry*+2?=6

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

Q: = (2xy + z² )i + (x² +z)j + (y + 2xz)k, determine a possible value for .

A:

Q: 2. loq, (5xf4)=3

A: To find the value of the x.

Q: 12 -6x dx 15

A: We are asked to solve the indefinite integral. The solution of the integration is as follows:-

Q: 4(z+12)+13=29. find z

A:

Q: 2.

A:

Q: Evaluate: a) J 5x8+4x7+x6+7x²+3x-15 dx (x²-4)(5-6x)(x2+2x)

A: We use method of partial fraction to solve this integral. If degree in the numerator is more than…

Q: 2dx x √x² 3√x² 2

A:

Q: dx 2. Evaluate -2 v2x2 + 8x + 10

A:

Q: 2a - 5y dA, R =(-5,4] x [0, 3] R.

A:

Q: 3 + 7x + 2 ) dx x² Find + C

A: SOLUTION-

Q: |(3x – 2)(6x + 5)dx

A: