g(x) dx = -2, evaluate the following. Given f(x) dx = 10 and (a) [F(x) + g(x)] dx 6. (b) [g(x) – f(x)] dx 6. (c) 29(x) dx

Q: 4x – 3 - 3 Given : | dx x² (x² + 9)

A: Given : ∫4x2-3x2x2+9dx

Q: 3 If f *¸9 (2) dx = -5 g(x) dx = -2 and Find the value of 3 15 -5 g(x) dx 15 g(x) dx = 9

A: Solution of given question is written in below steps.

Q: | f(2) dx = 3 and | f(x) dx = 4 what is the value of If -2 |5f(x) dr?

A:

Q: Find f(x) dx = -3.5 -3.5 and 2f(x) – 3 dx = -1

A: Given: ∫-61.5fx=2∫-6-3.5fx=3∫-11.5fx=4

Q: (3x-2) dx f x²+ 2x + 15

A:

Q: Evaluate [(e²/² - x)(e²/² + x) dx. Show your work.

A:

Q: 1. f4x-³ dx -3

A: Find the integral

Q: S2x3-4 x²-x-3 dx х2-2х-3

A: See the details solution in below

Q: 1. f³₂ (x² − 3) dx -2

A: Given: ∫-23x2-3dx The limit definition of a definite integral is ∫abf(x)dx=limn→∞∑i=1nfciΔxi.…

Q: 3x2 dx (x-1)(x2 + x + 1)

A:

Q: %3| Find the value of k if the f(kx2 – 2x + 3)dx = 14.

A: Definite integration

Q: Sla 1 z dx |(25 – x²)3/2]

A:

Q: 4-x2 dx -2

A: The given integral is

Q: e4z+1 dx e2r – 1 17.

A:

Q: 8 Suppose [g(x)dx =5 , and [g(x)dx =-3 , find the value of 2g(x)dx 8

A: We have to find the value of integration.

Q: a) Evaluate x* - 4|dx and L (x* - 4 )ax. Do you get the same answer for both?

A: Answer

Q: 1 b. 4*(x³)dx -1

A:

Q: 2x ²-11)dx x3+3x²-4

A: To evaluate the integral.

Q: √ 1 x²√2x-x² dx = x+¹√ √√2x-x² + c 3x²

A:

Q: 10. fS'(x)dx -4

A:

Q: f3xcos(4-x*)-8xV4=x² dx s(4-x²)-8x/4-x² dx —:

A: Let us solve the integral using substitution method in the next steps.

Q: x(x²-x+2) dx is equal to 3

A:

Q: f(x)dx =| -8 -4 -4 (9f(x) – 7)dx

A: see below the steps and calculation

Q: -1)/(x4))1/2

A:

Q: (2x2-x+6)dx (х2—х-2))

A:

Q: (a) f dx 2 √3x-x²

A: To Evaluate:    ( a ) ∫03 dx3 x - x24  ( b)  ∫0∞ 3-3 x3 dx

Q: d -(f(x² + 3x)) dx

A: Derivative

Q: 1 The value of f|5x – 3|dx is

A: Integration of the absolute valued function

Q: (e) f(x)=(Vx 3

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

Q: Find the value of df-1/dx at x = f(a). 15) f(x) = x3 - 12x2 - 4, x 2 8, a = 2 1 1 B) - C)- 36 D) 44…

A:

Q: f(x-1) e-2x+x² dx = O 1 -2x+x² e 2 2e-2+2x+C 2e-²x+x² + C e-2x+x² + C + C

A:

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

A:

Q: glx)=Dx-4 X+9 g(xth)3D/

A:

Q: -.f x³ ex² dx 3

A:

Q: 8.) Find of y3 = x* + 3x d?y dx2

A:

Q: If x3+y3=19, find the value of d2y/dx2 at the point (-2,3).   The value of d2y/dx2 at the point…

A: x3+y3=19 Differentiating with respect to x, we get Again differentiating with respect to x, we get

Q: x-3 dx V16-x² (16-х2

A: Given,          ∫x-316-x2dx

Q: .6 6 If | F(x)dx=12, what is the value of | f(6– x)dx?

A: Using property of definite integration.

Q: 4 -4 x3 16-x² dx is equal to

A:

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

A:

Q: Vx2-3 dx , x > V3, is equal to:

A:

Q: X-1 dx -x² - 4x- 2

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

Q: 3x Evaluate x² +¹+e³ª)dx.

A:

Q: x+3 k) S- dx x2+6x-11

A:

Q: egral f x²+x+2 dx (x-1)(x²+5)

A:

Q: 1. If g (2) = 59 and fg'(x) dx = 25, what is g(5)?

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

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…