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: Suppose that f(x) dar = 1, | f(æ) dæ = 3, | (x) dæ = 3, f (x) dx = 2. Determine the values of (a) /…

A: (a) To find: The value of ∫34fxdx. Given: The values are ∫-15fxdx=1, ∫-14fxdx=3 and ∫35fxdx=2.…

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: Find 4 [3f (x) – g(x)]dx = i if 4 4 |r)dx = 4 and g(x)dx = 20

A: This question is related to definite integration, we will solve it using given information.

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

A:

Q: Find f(x)dxif 5 | f(x)dx = -8 and / f(x)dx = 3 6. | f(x)dx = i

A: Solve the following

Q: find the sequence of difference for those sequence given below. example the sequence…

A:

Q: 2 Find [f(x) + 5g(x)]dx if 2 |f(x)dx = 8 and / g(x)dx = -1. -4 [f(x) + 5g(x)]dx = i -4

A:

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

A:

Q: Eli spent 49/52 of his weekly allowance on food and clothes. if he spent 7/13 on only food, find the…

A: Here, the total on food and clothes allowance is: 4952 Now, 712 spent on only food.

Q: (c) [ √4x² X -dx

A: The given integration is

Q: - Vx²+1 (Ъ) xe dx

A:

Q: Find d da [e³²2²] dx 6xe ³x² e ³x² 6x e ³x² 6x (eª) (e³²²) (3x²) (6x)

A:

Q: (3) S x²Vx + 1 dx

A:

Q: 3. Solve the equation: (Dª – 1) y = 0

A:

Q: If f (5f(x) + 2) dx = 4, then Si f(æ)dx =

A:

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: | [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

A:

Q: Let 11 f(x) dx = 9, 10 Find "f(e) de = [ and nd S 9f(x) - 7 dx 10 [₁ f(x) dx = 7, [1² f(x) dx = 9.…

A:

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

A: Topic = Integration

Q: Find (|x+1|dx -3

A:

Q: (In(æ)) -dx; 1

A: I=∫1eln(x)4xdx Now substitute:   ln(x)=t

Q: 1. Show that | (4x - 6x + 1)dx = (4x3 - 6x + 1)dx + (4x3 – 6x + 1)dx

A: Given ∫154x3-6x+1dx=∫134x3-6x+1dx+∫354x3-6x+1dx

Q: Find [9f(x) – g(x)]dx = i if f(x)dx = 2 and g(x)dx = 30

A:

Q: [6f(x) – g(x)]dx = i if f(x)dx 5 and g(x)dx 10

A:

Q: dx = 2, evaluate If (f(x) dx = 5 and -1 f(x)| dx + f(x) dx. (Jan 18) х +

A: Integrating a function within specific limits of the variable is called definite integration. The…

Q: If [ f(x) dx = 12. g(x) dx = -2 and L₁ dr following gives the value of [[1²)+ 4 76 Sh +4g(x)- h(x)…

A: Given:     ∫-36fxdx=12     ∫-36gxdx=-2     ∫-36hxdx=-7

Q: 2 | 6(2x? -2x) dx 1

A: To integrate: ∫126(2x2-2x)dx Solution: Given, ∫126(2x2-2x)dx On simplifying further we get:…