12] (1+e* 1-ex S dx 3x2+14x+13 (3] S dx

Q: Factor x* + 1 as a difference of squares by first adding and subtracting the same quantity. Use this…

A:

Q: 2 - (4x² – 8x5)(x³ – x6)-8)dx 4х-1

A: Given an integral : I=∫2(4x-1)-4x2-8x5(x3-x6)-8 dx We need to find the integral. Let's begin.

Q: Differentiate. y= In [(x + 4)(5x– 6)(3 – x)] d dy In ((x+ 4)(5x – 6)(3–x))) = |

A: Given: To find: The derivative of the given function.

Q: 1. f4x-³ dx -3

A: Find the integral

Q: Evaluate I = = / x*(x² + 4)³/ª dz

A:

Q: NIFN dx √2x (√2x + 9)

A: Given query is to find the value of the integral.

Q: 4. 16x – 2x2 – 23 dx -

A:

Q: (x* - 4x² + 6) dx = 2*. (x4-4x2+ 6) dx Select one: O True O False

A:

Q: Evaluate ∫4x+5/(3x+2)(x+3)dx

A: Given Integral: ∫4x+53x+2x+3dx   To find: Evaluate the given function. Formula used: i) Partial…

Q: iv) [16xe*)dx бхе ,-(x+9)

A: The formula for integration by parts is given by: ∫u.v dx=u∫v dx-∫dudx∫v dxdx Note: ∫a.fxdx=a∫fxdx

Q: Зх +6 dx 2x2 + 8х + 3 (Inx)? dx 5. 6.

A:

Q: Evaluate 4x² + x3 2x² – 3x - 2 dx.

A: the given integral is (4x2+x-3)/(2x2-3x-2).

Q: Find / (+52 + 4) dz 5x x6

A: Given integral: We have to evaluate the given integral.

Q: dx (4x²+1)* 2.

A: The given integral is:  ∫84x^2+1dx Consider, x=12tanθ On differentiating both sides. dx=12sec2θ dθ…

Q: 2x+6)dx x²+2x+5

A:

Q: ii) ∫7x-25/(x-3)(x-4) dx

A: Given,          ∫7x-25x-3x-4dx

Q: x4

A:

Q: Find the intergral of (5-4x)/(√(12x-4x^2-8) ) dx

A: It is given that,               (5-4x)/12x-4x2-8dx     we have to integrate it.

Q: Find ∫ dx / √(4x2 + 1)

A: Given: ∫14x2+1dx

Q: 3 = 4- 2y + - dx

A: The differential equation is,   The figure below represents the vector field of the differential…

Q: x² + 8x + 5 x³ + 8x / dx

A:

Q: 1 2 (2.) } ² dx 2 2 ²x + 4x + 5

A:

Q: 2 (x²) + 4 dx =

A:

Q: (x^2 + 4)dy = (2x-8xy)dx

A: Answer

Q: (4 - x2)3/2 dx 3

A: Consider, I=423∫-22(4-x2)3/2dx I =4232∫02(4-x2)3/2 dx   since f(x) is even function that is…