Given that 18 √ ² f(x)dx= -8, √√16 f (x) dx = -8₁ g(x)dx = 2, find the following. 16 √ (7 f(x) — 7 g(x) + 4)dx = 18 [th*g(x) dx = -9 and

Q: (12) Find the Value of b such that: [3x² dx = 27 (A) 6 (C) 9 (B) 3 (D) none of these 4

A: Step 1:To find the value of b such that ∫0b​3x2dx=27, we need to solve the definite integral: Step…

Q: What is F(x)=dx? O F(x) = 4√x+4 O F(x) = 4√x+4+C ○ F(x)=√4+C O F(x) = 2√√x+4+C

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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: 2. Suppose that f(x) = ((.x² + x·5).5 +.r.5).5 when x ≥ 0. Find df(x)/dx. •5 (@ï¥2³ )² +x²)+…

A: The answer is given in step 2

Q: Finally, use the Generalized Power Rule to determine[x -x], noting that x-x is the difference of two…

A: Here we have to find differentiation of f(x)

Q: (6) /(z +6)dz

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Q: 10 16.⁰ FIX Find f(x) dx if = 8 x for x < 8 for x ≥ 8

A:

Q: Given that f(x) = 3x/x-9, for what values of x does f(x) = 4/5?

A: To calculate the value of x.

Q: x +1 dx | (25 – 12) 3 2

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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: Guen F(x)= 4sin? (x), write the equaton ok the live tanjut to y=F(x). when x= 7r %3D 4.

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Q: 1/2 S x²√1-x²dx. 0

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Q: √√x²+2x dx= Select one: a. None of them b. (x + 1)√x² + 2x - 1 In ( x + 1 +√x²+2x() + C C. 1 +In 1 1…

A: The integral we are trying to solve is ∫√(x²+2x) dx. This is a non-standard integral and requires…

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: need

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Q: (2+1) 2x + 5 (2x + 5)(2x) - (x² − 1)2 (x²-1)² - X 4x² +10x-2x² +2 2 (x²-1)² Dx || 2x² + 10x + 2…

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Q: A) a B) b ²¹dx = √( + g(x)) dx, then A + √² g(x) dx is equal to x³+x A. -1 B. −1+In(5/2) C. 1 D. -1…

A: Given; ∫x2-1x3+xdx=∫Ax+gxdx   As we know that; ∫1ax+bdx=1alnax+b+C

Q: If f(x) = √√7 - 4x, find a formula for f-¹(x).

A:

Q: 1ƒ(x) == F(x), dx F(x), which of the following is equal to F(Arcsecx)? dx 1 (+) O F(x) = + f(x)…

A: If fx=ddxFx, then to determine the expression which is equal to ddxFArcsec x.

Q: Given √,³ 0-12 f(x)dx = 8 and g(x)dx=-4, what is -4 4 12 √,³ (g(x) − f(x)]dx?

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Q: 3. Find (f+g)(x) if f(x) = 2√m and g(x) = 3√/4m. O (f+g)(x) = 8√/m O (f+g)(x) = -7√m ○ (ƒ+g)(x)…

A: The given functions are: fx=2m and gx=34m   To calculate the value of f+gx.

Q: Find (x + 2)(x-7)dx (x + 2)(x − 7)dx= + C

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Q: (a-x)√a-x-(b-x)√√x-b √a-x+√√x-b If y = whenever defined. then find dy dx

A: What is Differentiation: Differentiation is determining in which rate a function is changing with…

Q: √¹¹₁ (b) 2 In |x| dx. -1

A: Consider the properties of the integrand and the symmetry of the integral.The integrand x2ln∣x∣ is…

Q: Find f(x) such that • ff(x) dx = 1/√ √ x² + 4 + C

A: