x(4x°} x16 x = -

Q: x-2X x+ X-6

A: Here we have to calculate the givne limit.  =limx→2x2-2xx2+x-6

Q: dx 8 — 2х — х2 5.

A: Given, Note: asinx represents sin-1xacosx represents cos-1x

Q: Find dx 7x 6

A:

Q: 8 dx 9x2 + 10x + 1

A: Given information: use partial fractions to evaluate ∫0789x2+10x+1dx Apply partial fractions to…

Q: dx /2х - х2

A:

Q: dx Vx² +9x² (In x³ )° 2

A:

Q: x* + 10x dx

A: Evaluate the given integral as follows. Let u = x + 5 and du = dx and simplify as follows.

Q: Evalvate 5x-12 X (x²+4) dx

A:

Q: dx 9 + x2

A: Integrating the function of the standard form we have,

Q: dx Vx -9

A:

Q: -dx 2x3/2 — Зх2

A: Given : ∫x2x32-3x2dx ∫x2x32-3x2dx = -∫x3x2-2x32dx Now, let us solve ∫x3x2-2x32dx Let us take  u=x⇒…

Q: X Find | dx x²+8x+12

A:

Q: xdx 4+²- x

A: We need to use integration by substitution technique. In integration by substitution technique, we…

Q: xdx Vx4+1

A: We have to evaluate  ∫x dxx4+1. We know,  ∫dxx2+1 = lnx+x2+1 + C   or,   sinh-1x + C

Q: 2 x 4/7

A: The correct answer is as below:

Q: Use the Product Rule to evaluate and simplify

A:

Q: dx 9x-1

A:

Q: dx X+8

A:

Q: dx (4x?- 9) 3½

A:

Q: d (cosh x) dx Vx2

A:

Q: S (−6x³ + 9x² + 4x − 3) dx

A: To evaluate the following integral.

Q: dx 5+ x2

A: For knowledge purpose we will derive the general formula for such type of integration.

Q: 4x-2 dx 27x-8

A:

Q: ID 2 = {(Xy) 2x=7

A:

Q: Find f. f"(x) = 6 + 6x + 36x², f(0) = 3, f(1) = 14

A:

Q: x) = (1/3)x - 6

A:

Q: V9 – 4x2 dx

A:

Q: b. ] ] 6x²-2x-1 3 4x -X d -dx

A:

Q: x¹-8x+√√x7 ƒ dx

A: Here,   We have given an indefinite integral now we have to find out the value of that integral.

Q: 3/4 x -3 = 18

A: The given equation is 34x-3=18 We solve the equation and find the value of the unknown variable x

Q: Y + 7 = 4/3 (x -4)

A: We have to find the slope of the given line also graph the line in coordinate planes.