5х — 3 dx = 2 ln |æ + 1| + 3 ln |x – 3| + c J (x + 1)(x – 3) -

Q: (e + x + 2)dx 3.

A: The sum rule for integration states that ∫fx+gxdx=∫fxdx+∫gxdx. The integration formula for…

Q: Determine if = f(x)=Vxis uniformly continous on the interval I [0, +)

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Q: 1 s vä (x + dx X

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Q: d (7 ln(x)) dx Find

A: Find

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 h ( x ) = 3 x 2 − 2 x, then find h (5).

A: Let there is a function fx to find the value fa we need to substitute x=a in the expression.…

Q: /0 1 X-4 x2 – 5x + 6 dx

A:

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: Find dyldx for the following xVx² + 1 In y = ln (x + 1)3

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Q: Imagine that we can quarantine infected members of the population, so that they are unable to…

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Q: g(x)dx = (5x? +2)° +C

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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: x(n) = 3 [2n + 4″]

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Q: Find 5 f" 19 xif [ 15 xx 16 f(3x + 4) dx if Enter the exact answer. f (x) dx = 1.

A: To find the value of given definite integral

Q: 1/4 1 √1/12 √x(4x + 1)' dx

A:

Q: For f(x) = x? – 5x - 6, find f(2), f'(2), and f(3) – f(2). f(2) = a. b. f'(2) %3D c. f(3) – f(2) -

A: The given function is fx=x2-5x-6

Q: y-HY + 3Y=0

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Q: (3 – |x – 3|) dx

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Q: -f(x – 2)dx

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Q: 2x + 3 If f(x) = then x – 2 dy / (x – 2)² dx ||

A: fx=2x+3x-2

Q: Determine dy/dx y = (In 2x) - (ln(3x + 1)) 1 3x²+x 3x 1 None of the choices 1 3x²-x

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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: g(x) g'(5) = 2 X 13 1+t2 dt

A: Given query is to find indicated derivative.

Q: dx Find F(x) = S 1-2x+ 2x2

A: Here we solve the integration problem.

Q: 20 Find f(3x + 2)dx if f(x)dx = 2. 3 11 Enter the exact answer. f(3x + 2)dx = 3

A: Given that, ∫1120f(x)dx=2 Now, we have to find the value of the integral ∫36f(3x+2)dx let,…

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: dy (d) 3y(x2 – 1) + (x³ + 8y – 3x) dx 0 =

A:

Q: Evaluate ₁ f (x) dx if ƒ(x) · = O 14 O 12 O 8 06 2x x-1 if x 3

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Q: Compute dx. x2 + 4x + 8

A: Our Aim is to compute the integral given below:-∫02 xx2+4x+8dx -(i)

Q: Find the values of a and b such that a = b + [¹ f(x) dx − [*f(x) dx = f*f(x) dx. - 11

A: Given,

Q: Determine whether the geometric series is convergent or divergent. Σ n=1 convergent O divergent If…

A: The given series ∑n=1∞9πn. We have to determine whether the series is convergent or divergent.