(x² + 1) d x + 3x(y - 1) = 0, y(0) = 7 + 1) ( ² 2 y = 1 + 6(x² +1)

Q: Find -2 (4x3 + 12x² - 2)dx

A: Evaluate the difite inetegral: Formula used:

Q: S(3x+1) (3x²+2x+1)³dx

A: I=∫(3x+1)(3x2+2x+1)3dxSubstitute 3x2+2x+1=u

Q: 3 2x dx 2? - 4х + 5 C. 2)

A:

Q: 4. given that 2px (a) 5px, (b) 2Px+3, (c) 29x, (d) 2/39x (e) 3/29x, 0.955, Px+2 = 0.96, and 39x+2 =…

A:

Q: (16x²16 x + 4)D²y = 4x² - 4x + 4

A:

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

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

Q: Find the quotient and remainder of (x' + 8x² + 19x + 13) ÷ (x + 3). A (x² + 11x + 52) R 13 © (x² +…

A:

Q: Suppose y = (x² + 3æ)(x – 2)(x² + 1).

A: Given y=x2+3xx-2x2+1  We solve this by using product rule  ddxuv=udvdx+vdudx

Q: (x+2)2 dx (x+2)3 +C (A + 2x+4 In x +C +4x +4 In x + C (x+2)3 D -In x +C 3. B.

A:

Q: S C3x-7 +5x -3 - x6 + 5x" t19) dx

A:

Q: 5. S (3x-x²)dx x2

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: y = x+ – 4x³/2 (x > 0) (x>0)

A: Consider the function:

Q: s 2 7x² + 15x + 22 (x-3)(x² + 4x+5) dx

A:

Q: -8x? + 16x + 8 dx (x – 1)2(x² + 1)

A: We will solve the problem

Q: a. C. .-4 xy-² (-9x²y³ X3x¹y)² (√27x6¹²) b. d. (V16x4) ×5x8 3x 5y³ 25y² 9x v-²)-²

A:

Q: (i) ,(8x³ – 9x² + 8x + 9)dx |

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: (√3-3)/6 - (√3+3) /6 12 dx 2 1+ (2x + 1)²

A:

Q: (12x-4)dx (3x+1)³(2x-2) 3

A: We have to find out the integration.

Q: 4x) = -2x* + 8x - 10 0 f-4)

A: To find value of a function at a point x= -4 , replace x by -4.

Q: 6. (9x-6x'+7x²-Sx+15 dx 3x

A:

Q: find the constant term of (2x² + 1/x)⁹

A: find the constant term of (2x² + 1/x)⁹

Q: (2x +1) dx 2. 15 - 2x -X

A: We have been given the integral  ∫-31(2x+1)15-2x-x2dx

Q: (2x² +3)kdx (x² +1}

A:

Q: (x2-3) Cx²+ 2) S dx J3xx3

A:

Q: a) [(5x4 + 3x² + 2x + 4)dx b) [(Vx² + 7x)dx

A:

Q: (1-3x)/4)=(x+6/3)+1/2

A: LCM of 4,3,2 is = 12We multiply both side by 12 and distribute.

Q: (a) f : dx 6x 1+x4

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

Q: Find two First terms whose product is 8x. 10x 3三 (8x )(x &x2 10x 3三 (4x )(2x

A: Given  8x2-10x-3 To find two terms whose product is 8x2.

Q: d 4х +11 15. In((x + 1)(2x + 9)) dx (x + 1)(2x + 9)

A: Given:ddxlnx+12x+9

Q: 4 | (5a' + 4x")dr Find 3

A:

Q: 3 2x-4x-1)

A:

Q: S (3×412メ -15)2 2dx

A: The integral is solved as follows :