2.2 Given f(x) dx = 10 and ſº g(x) dx = −2, evaluate [g(x) = f(x)] dx b. [f(x) + g(x)] dx ₂2g(x) dx d. 3f(x) dx a. C.

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: Calculate , f(x) dx if the graph of f(x) is 41 2- 4 -2 -2 O 8-T O 8 + 47 O 8 + 27

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Q: Given f(x) dx = 6 and g(x) dx = -4, evaluate the following. %3D (a) [f(x) + g(x)] dx (b) [g(x) –…

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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: (x² for x < 2 Evaluate: g(x)dx where g(x) =16 – x for x 2 2

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Q: I. | f(x) dx = 14 and Jo f(x) dx = 6, evaluate J5 Given (a) /R f(x) dx. Jo (b) f(x) dx. /5 (c) f(x)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: x +1 dx | (25 – 12) 3 2

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Q: (c) [ √4x² X -dx

A: The given integration is

Q: Use the values 3 1³ F(x 16 90 f(x) dx = 6 and g(x) dx = 2 to evaluate the definite integral.

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Q: ,2 So|x² - 1 dx

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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: Given that (a) (b) [{f(x) dx = 7 and ['f(x) [₁Fx f(x) dx [²F(x) dx - [₁1x) f(x) dx f(x) dx = 9,…

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

A: We have to find the value of definite integration

Q: 2 4x f(x) = * - 9 I + 2

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Q: Suppose that f:R → R is a continuous odd function, such that 1 f(x) dx = 5 and -1 | f(x) f(x) dx =…

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Q: Given f(x) dx 8 a

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Q: f(x)dx is the same thing as F(x) dx

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Q: For f(x) = (x – 1)° and g(x) = 1- 4x, find the following. (a) (fo g)(x) (b) (go f)(x) (c) F(f(x))…

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Q: If h(x)=6ex−5, find h′(x).

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Q: If f(x)dz = -5. then the value of f f(z)dr = ... -5, then the value of f(x)dx O 5 3

A: We have to find the value

Q: 1 f(x)dx -1

A: The given integral is 12∫-13fxdx and the function is fx=ddxx7+3x. First you have to differentiate…

Q: Let f (x) = x - 1 and g (x) = x² (x + 1). Evaluate Se 3 + dx f(x) g(x) You must show all steps.

A: Integration of e-3x+f(x)/g(x)Where f(x)=x-1,  g(x)=x2(x+1)