If (x) = g(x) + 7 for 3< x < 5, then Lf(x) + g(x)] dx = b. 2 f, g(x) dx + 14 d. 2 g(x) + 28 a. 2 g(x) dx + 7 3 5 c. ſ, g(x) dx + 7

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: S (x5 –x³ – 6x) dx is the same as x²+2 A В (x³+3)dx 4x dx x2+2 D +x-- 8x dx x²+2 E F None

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find 3 3x3 3 2Va ) dx - x5

A: here we have to find the integration of given function. the solution is following.

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

A:

Q: S2x3-4 x²-x-3 dx х2-2х-3

A: See the details solution in below

Q: (-4x-12) dx For f (x+10)3(x-4)3 F(x) – 1. What is F(3)?

A:

Q: If  h(2) = 5 and h'(2) = −2,  find d dx   h(x) x       x = 2.

A: Derivative Question

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Q: 4. Evaluate only one of x'dx a) f (x² +4)

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Q: Consider x = 3x1 – 2x2, x, = 2x1 – 2x2, with x (0) = 3, x2 (0) = ;. b If x1 ge + e-, find the values…

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Q: S x²-x +2 -X X³ + 4x -dx

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Q: dx 1- S 4+x2

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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: )Solve for k such that 1 k(x2 – 2x + 1)dx = 5 - 0.

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Q: 2 + 3x + x) dx . 3x² + x) t 3

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Q: 6. 9. 6, If f(x) dx = 31 and g(x) dx = 18, find [4f(x) + 5g(x)] dx.

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Q: 6. The value of f A. + C B. C. D. (4-x² +C 4√4-x² 4√4-x² dx (4-x²) 1.5 +C +C

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Q: 6. If /f(2)dæ = (x + 5)*eª + ln(|æl) + C, what is f(x)?

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Q: ' (x5–x³– 6x) dx is the same as x²+2 A |(13- 3)dx |(+3)dx В 4x dx x²+2 D x³+x- 8x dx x²+2 E .3 x'+x-

A: Solution: ∫x5-x3-6xdxx2+2

Q: Solve for k such that 1 | k(x² – 2x + 1)dx = 5

A: Given problem:- ∫ k(x2 -2x+1) dx =5  Solve for k

Q: 20 Find f(3x + 2)dx if f(x)dx = 2. 3 11 Enter the exact answer. f(3x + 2)dx = 3

A: Given that, ∫1120f(x)dx=2 Now, we have to find the value of the integral ∫36f(3x+2)dx let,…

Q: y = In [e x (x° +2) (x³ + 8x)] d [In [e 6x (x5 + 2) (xS + 8x)]] =] dx

A:

Q: Evaluate. (4x + 5x²) dx -2x dx 8. 9. dx 10. -5 for x 2

A: To evaluate: ∫-12(4x+5x2)dx Solution: We know, ∫xn=xn+1n+1+C    ..(1) Here, ∫-12(4x+5x2)dx On…

Q: | (2x-1) In(5x) dx A) (x2 - x)In 5x - x2 + 2x + C 2 B) x2 - x)in 5x - +C x2 5x - X2 + x + C 4 D) x2…

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Q: The numerical value of S X -3 9-x² dx will be equal to *******

A:

Q: 9. f(x) dx = 33 and 9. 9. If g(x) dx = 12, find [4f(x) + 5g(x)] dx. 1152

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Q: 1 Let f(x) = 5x° - 9x - 3, x2 1.5. Find the value of - df at the point x= 1271 = f(7). dx

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Q: 6. If f(x)dx = 5, f f)dx =2, and , f(x) dx = –1, find i f)dx. а. —2 b. 2 C. -3 d. 3

A:

Q: 2 4 E (x² + 2)V4 – x² dx 3

A: Let's find.

Q: S If 2x²+x+1 (x-1)(x + 1)(x-2) a A (B) - (D E 3 =1 3 C) None -2 B C dx = MAR √²+1 dx. dx, then the…

A:

Q: S (2 + x)dx √4-2x-x²

A: We can solve the integration as below.

Q: -8 2. If [g(x)dx =-4 and [g(x)dx =6 ,what is [g(x)dx ? 2 -8 А. 10 В. 2 С. —2 D. -10

A: Calculate the integral

Q: 5 Find (f(x) + 5g(x)]dxif -5 5 5 | f(x)dx = 8 and g(x)dx = -4. -5 -5 5 f(x) + 5g(x)]dx = i -5

A: The given integral values,∫-55fxdx=8 and ∫-55gxdx=-4

Q: x-e -2r -dx x²+e-2« *2(x-e-2«) A x²+e-2r xp- – 2(x-e-2x) dx x2+e-2r B -2x 2+e =21 dx x²+e-2¢…

A:

Q: 6 6 If f(x) dx = 33 and g(x) dx = 14, find | [3f(x) + 4g(x)] dx.

A: We know that, for a constant k, ∫k·fxdx=k∫fxdx        ⋯⋯1 We have, ∫06fxdx=33 and ∫06gxdx=14

Q: 6. 9. If f(x) dx = 37 and g(x) dx = 18, find [2f(x) + 3g(x)] dx.

A: Answer

Q: 1. Given that : {(2) dæ = 4, f(x) dæ = 3 and f(x) dx = 3 and | f(x) dx = 5, find: -1 (a) f(x) dx.…

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Q: ₁₁³f(x)dx=5₁ g(x)dx=7, and 5, Which of the following can be determined given A [ (4f(x) + 9h(x) dx ®…

A: See the details solution in below

Q: .7 f(x)dx= 12 and f(x)dx = 3.1, then 5. If %3D

A:

Q: a) Evaluate -5 S₁v 1 √√4 − (x − 3)² dx -

A:

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

A:

Q: m d 4. f(x) = ln 3/4-x x-bf + bf)

A: ddx9+9-x

Q: Show that So e-ax J₁ (bx) dx= 1 √(a³ + b³)³ (a > 0)

A:

Q: x2+x-2 dx If S (x²–1)(2x-x²) dx can be resolved into AS+ B ƒ f(x)dx + D S g(x)dx , then Lif(x)dx –…

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Q: egral f x²+x+2 dx (x-1)(x²+5)

A:

Q: rlog 2 Vex – 1 dx -2 S, x8Vx2 – 1 dx x² x8 dx (a? Loc2)7

A: Sol