1 ~ [ { f(x) dx = Given 0 (a) [f -11 f(x) dx = 0 and (b) for 22 (c) 0 f(x) dx. f(x) dx 1 [³ 3f(x) dx. (d) √²: 33 1 af²₁ 0 - L₁ F(x) 3f(x) dx. f(x) dx = 11, evaluate f(x) dx.

Q: it ƒ(x) = — F(x), which of the following is equal to dx dx ○ f(x²)x*(1 + lnx) Oxf(x*) x*-1 ○…

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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: f(x) dx if Jo Find

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Q: 6. | f(2)da = 3, | f(x)da = 9, Suppose | f(2)dz = 1. %3D | f(x)dx = | = (3f(x) – 9)dx %3D

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Q: d If (f(x))=g(x) and dx (g(x)) = f(x²), theh dr2 d? ((r*) = Select one: 3x s(x*) a. b. C. d. g(x*)

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Q: 5 If [ f(x) dx = 18, then 5 (f(x) + 4) dx is equal to:

A: Using the properties of Integrals

Q: -3/2 Substitute c = 5e¬ in f(x) = 4x² In() and find f(c). 5. R6) = «(se-3/2}* in(3e2) AC) =…

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Q: (x – 3' If f(x) = 4x + 3, find 4

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Q: 1. f (x² + 1)(x² + 3x) dx

A: To evaluate the given integral.∫x2+1x3+3x4dx

Q: 3 X 1 2 3 4 5 f'(x) 5 12 4 3 g'(x) 3 245 1 [3f(x) - 4x] x=3 =(Type an integer or a decimal.) www

A: We will find the required.

Q: 50 30 SO then s0 f(x)dx equals? Choose one. ()B-A (2) 2A+2B (3) 2B (4) A+B (5) A-B 16) 0 (7) 2A…

A: To evaluate the given definite integral.

Q: If SeF dr = [c(-5x + 3y² ) dx + (x³y) dy, what is F? %3D F =

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Q: Let (a) 10.5 3.5 ・6.³.5 P f(x) dx = 9, [ r(x) dx = [ 3.5 10.5 a £10.5. f(x) dx = 4, and (b) (8f(x) -…

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A: Given- ∫07fxdx if 5    for x&lt;5x    for x≥5 To find- The value of the above integral.

Q: 17 [," Farde - [." Farde - [." Her de f(x) dx f(x) dx = = f(x) dx

A: given that  ∫317f(x)dx-∫311f(x)dx = ∫abf(x) dxthen we have to find value of  a and b   since we know…

Q: In f(x) dx = F(x). F(x) is called the

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Q: If f(x) = =√(t³3 + 3t² + 6) dt then f"(x) =

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Q: Use the figure to find the value of the integrals. NOTE: Enter exact answers, or round to three…

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

Q: If f is an even function, why is S", f(x) dx = 2 f“ f(x) dx?

A: A function is said to be even if f-x=fx   We have to prove  ∫-aafx dx=2∫0afx dx   Consider left hand…

Q: f(x)=x²-2x Sf(x)dx using four subintervals by on Estimate -1 d M4.

A: Given function is We divide the interval [-1,1] into four sub-intervals with length of each is…

Q: Let f(x) = x^2 + 15  ^5√ x and g(x) = 3 − 2x. Find the following: d/dx(x^2g(x))

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Q: Suppose f(-4)= -7 and f'(-4)= 7. Find t d (7x² + 10x + 3) f(x) at x = -4 is dx d f(x) dx 7x² + 10x…

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Q: If fe F dr = Sc(x - 2y³) dx + (x²y) dy, what is F?

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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: Let f f(x) dx = -3, f¹ f(x)dx = -4 and g(x)dx = 6 and ¹ g(x)dx = 2. Then evaluate * (7 f(x) — 28(x)…

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Q: 9. [f(x)dx -1

A: Find the integral from the given graph

Q: 15 .3 Suppose f(x) da = 2. f(x) da | f(x) da = 5. What is | f(æ) da? 3, and -8 -10 10

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Q: '5 '5 '5 If f(x) dx = 33 and g(x) dx = 14, find [2f(x) + 3g(x)] dx. %3D

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Q: a) Let f(x) = √5 + 132³. Find f'(x). f'(2) - O b) Let f(z) J'(x) = 0 evS+13³ Find f'(z). -e'

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Q: 4 Find f(x) dx if if x< 2 f(x) if x 2 2.

A: To evaluate the given integral

Q: Find f(x) dx if S2 for x 2 Neod Heln2 Telk te a Tuter

A: To find the integral of the given function.

Q: Let ſª f(x)dx = −3, ¹ f(x)dx = = −4 and ſ* g(x)dx = 6 and ¹ g(x)dx = 2. Then evaluate 4 [* (7 f(x) —…

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