Which of the following can be determined given 3 A (f(x) = g(x)) dx 3 B [² (4f(x) +9h(x))dx с g(x) dx 4 D (f(x) + g(x) +h(x)) dx 3 3 [ f(x) dx = 5, g(x) dx = 7, and 3 1₁²³h(x) dx = -5 S

Q: 2. . If f(x) dx = 4 and 3g(x) dx = -9, evaluate [² [3f(x) + g(x)] dx

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Q: Given that (a) (b) Prx [ FLX f(x) dx = 3 and f(x) dx 2 [²(x [²Px) dx - [Px) dx f(x) f(x) f(x) dx =…

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Q: Find | f(x) + 6g(x)]dx if -2 6. 6 f(x)dx = 4 and g(x)dx = -6. -2 -2 6. [f(x) + 6g(x)]dx =

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Q: If Sdx = s ( + g(x)dx, then A + f 9(2) dx is equal to %3D

A: ∫x2-1x3+xdx To break the fraction we use partial fractions…

Q: f(x) dx = -4, f(x) dx = 6, g(x) dx = 8 - If g(x) dx b. c. 3f(x) dx d. dx x) - g(x)] dx g(x)] dx e.…

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Q: 20 14 ·b [." 1(2) dz - " 1(2) de - [* 1(2). f(x) dx f(x) dx f(x) dx a

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Q: 6 7 6 ppose that | f(x) dx = –3, / f(x) dx = 2, g(x) dx = -4, ar -2 g(x) dx = 1. luate the…

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Q: If f(x) is even and 5 [₁(f(x) - f(x) 8) dx = 8, find -5 5 [²³F(x) f(x) dx.

A: ∫-55fx-8dx=8 ∫-55fxdx-∫-558dx=8 ∫-55fxdx-8∫-55dx=8 As, ∫dx=x ∫-55fxdx-85--5=8 ∫-55fxdx-8×10=8…

Q: 14 6,¹ 3 Suppose f(x) dx 3 S f(x) dx = [ 14 = 15. Find

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Q: Which of the following can be determined given 3 3 3 [ f(x) dx = 5₁ g(x)dx=7, and 1 [n(x) dx = -5 ₂3…

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Q: f(x)dx = 2, 5 and 8 f(x)dx = -5, then, 8 f(x)dx = -3

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Q: Given 3 fºF f(x) dx = 4 and [FO f(x) dx = -1, evaluate the following.

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Q: a. b. C. [(x² + 2x³ + 4x + 10) dx [ 6xe*² dx [ In x dx

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Q: S (x + ¹) ex x²+2x-3 dx

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Q: If f f(x) dx = 6, f f(x) dx = 2, and f, g(x) = -5, find f₁[2f(x) — 4g(x)]dx.

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Q: –1/2 | (x (x² + x) + 4)dx.

A: Given,            ∫04x-1/2x2 + x + 4 dx

Q: 11 6." Find 11 ["18 [8f(x) g(x)]dx if [8f(x) — g(x)]dx : 11 [." f(x)dx = 5 and 11 S g(x)dx = 7.

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Q: Find [2f(x) – g(x)]dx = i if f(x)dx = 4 and g(x)dx = 50

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Q: 4 If ſ₁ ƒ(x) dx = 12, then ¹ f(4x) dx is equal to If ſ¹ ƒ(x) dx = 12, then fx f(x²) dx is equal to

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Q: If f(x)dx=2a – 5b, then [f(x) – 2]dx=? a

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Q: Given | f(x)dx = 6 and | g(x)dx = 2 , evaluate 0.

A: As per the guidelines of bartleby the first three subparts of a question is answered at a time, plz…

Q: (3 − |x|)dr is equal to L (3 (a) f( (3 - x) dx (b) [(3+z)dz (c) [²₁ (3 - x) dx + [² (3 + x) dx (d)…

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Q: If f (x) is continuous and 8 froa f(x) dx = 12, then find S²x² 0 x²f (x³) dx

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Q: 1 3- S-x2 3 S y, dx 3 4- J2 (x+3)*

A: 3.∫1x2-x2-13 dx4.∫223(x+3)4dx

Q: Find | [3f(x) – g(x)]dx : i if 6 f(x)dx 2 and g(x)dx = 30 %3D %3D

A: Given: I=∫163fx-gxdx And ∫16fxdx=2 ; ∫16gxdx=30 We know that; the sum rule: ∫fx±gxdx=∫fxdxdx±∫gxdx…

Q: 9 If Ef fºrex 4 f(x) dx = 33 and 9 √³⁹(x) g(x) dx = 14, find *9 fºc [4f(x) + 5g(x)] dx.

A: To find out the value of the given integration.

Q: | [10f(x) – g(x)]dx if Find 5 5 f(x)dx = 7 and g(x)dx = 6. %3D | [10f(x) – g(x)]dx = i

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Q: - Find (a) for dr (b) fxºdx (c) [10e-de 10eª0dx

A: we can answer only three subparts, or the first question and the rest can be reposted. No more than…

Q: ·S In (x) vxln(x)-x X dx

A: We know that integration power rule is - Integration of xn is xn+1/n+1 + C . Here C is integration…

Q: 14 Find [3f(x) – g(x)]dx if 14 14 | f(x)dx = 3 and g(x)dx = 9.

A: Topic = Integration

Q: Determine F(x) = J (x+1)dx x3+3x2+7x+5

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Q: • (i) <(13)* k=0

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