f (x) dx 21 and g(x) dx 14, find 3f (x) + 5g(x)] dx.

Q: 10a3 5.) dx 1 – x8 -

A:

Q: Find of y3 = x* + 3x d?y dx2

A: giveny3=x4+3xdiffrentiate with respect to x3y2y'=4x3+3y'=4x3+33y2

Q: (3x-2) dx f x²+ 2x + 15

A:

Q: Vx - 3 dx x=3

A:

Q: x3-27 dx 2. ズ-3

A:

Q: 1) f3x* dx +x dx 3) fxva² +I dx

A: We know that, ∫ xn dx = [( xn+1 )/( n+1 )] + C

Q: (3x -x2 dx 3.

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

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

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

Q: 2x - 2x2-3 dx - Find 4 x* + x²

A: To evaluate: ∫2x3−2x2−3x4+x2dx Let, I=∫2x3−2x2−3x4+x2dx ⇒I=∫2x3−2x2−3x2x2+1dx

Q: x² - 3x + 2 17. dx x +1

A:

Q: (x²-2x+11)dx (x²+3x-4) .2. r2.

A:

Q: · 8 Find f(x) dx = 5 (5 f(x) – 6) dx 8, and

A: Given ∫211f(x)dx=5∫25f(x)dx=6∫811f(x)dx=4

Q: x² – 16 - dx = Mx + 2)3

A:

Q: 13. dx/(x²-4)

A: Since you have posted multiple problems we will answer first problem for you. If you need any other…

Q: (x²-ax +4" dx

A:

Q: V2/2 -3x2 dx 1 – x²

A:

Q: -3 -dx J2 (x²–1)² 3.

A: The given integral,        ∫23xx2-12dx

Q: 4-x2 dx -2

A: The given integral is

Q: x² dx x²-3x+2

A:

Q: 1 b. 4*(x³)dx -1

A:

Q: (x2 - 4x + 4)4/3 dx -

A:

Q: 3x dx V1-x

A: Integral is given

Q: 2. x°ー×- 8x ー1 dx x²-3X -4 2

A: according to our guidelines we can answer only three subparts, or question and rest can be reposted.…

Q: x+2 a) f- =dx V2x-x² |xIn(x+1)dx b)

A: Given that  (a) ∫(x+2)/√(2x-x2) dx   (b) ∫x ln(x+1)dx Here we have to calculate the given integral.

Q: An appropriate substitution for 2x dx is V4 – x2

A: The given integral is:∫2x4-x2dx

Q: d -(f(x² + 3x)) dx

A: Derivative

Q: The f ²-3)³ dx is equal to x2

A: Given: I=∫x2-33x2dx For evaluating given integral, first we simplify given expression then integrate…

Q: (3x4-43)dxc+(xy²-2x?4)dy:

A: 3xy2-y3dx+xy2-2x2ydy=0 fx,y=Mdx+Ndy ∂M∂y=∂N∂x For M=3xy2-y3∂M∂y=6xy-y2 For N=xy2-2x2y∂M∂y=y2-4xy…

Q: 3 What is the value of -8e -2x+1 dx?

A: Consider the given integral

Q: 6+ | f(x) dx = 21 and g(x) dx = 14, find (3f (x) + 5g(x)] dx.

A:

Q: 1-3x dx Jo J2x-3x² 4. 2х— Зх?

A: Given problem is

Q: x-3 dx V16-x² (16-х2

A: Given,          ∫x-316-x2dx

Q: dx 9-4 x2

A: Given I=∫dx9-4x2

Q: If y = x3 – 2x2 + 3x – 1, then d2y/dx2 is equal to

A: topic - derivatives

Q: + 2r -1 dx (x2 – x – 2)

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

Q: 4x3-3x+5 If 13x+5 dx , then f (0) = x²-2x x²-2x,

A: Given : ∫4x3-3x+5x2-2xdx=∫fx+13x+5x2-2xdx Objective is to find the fx and then value of fx at x=0

Q: V -dx x² + 2

A: Given, I=∫xx2+24dx

Q: 16 / #(x²)dx if f(x)dx = 7. Find Enter the exact answer. xf (x² )dx = -4

A:

Q: 1 T/ -dx 6 x²+16

A:

Q: y = e² -Vx sec 6x 3

A:

Q: 2Rx-3 + (x² – 3)] dx а. - (Rx2-3x+1)5

A:

Q: x² +x-2 -dx can be resolved into (x2-1)(2x-x²)

A:

Q: If x3 + y3 = 16, find the value of d2y/dx2 at the point (2, 2).

A: Given:

Q: 2x dx x2 + 2x + 5

A:

Q: X-1 dx -x² - 4x- 2

A: Given, ∫x-1-x2-4x-2dx  We have to integrate it

Q: SV2*- 16 dx 2.x

A: Consider the integral: ∫e2x−16dxApply u…

Q: e6x (a) : dx 4+ e6x (b) /: dx 4+ e6x 3 (с) dx V4– x2

A: Since you have posted multiple questions i can answer first three as per our company guidelines…

Q: (9f (x) + 5) dx = 56, find | f (x) dx. %3D

A: It is given that,            ∫269f(x)+5dx=56we have to find    ∫26f(x)dx

Q: X 2 dx = V4-x2

A: I=∫01x24-x2dx =∫01(4-x2)+44-x2dx =∫014-x24-x2dx+∫0144-x2dx =∫014-x2dx+4∫0114-x2dx Here  ⇒∫a2-x2…