3 xf(x2)dx df(x) dx = -9, find If f is continuous and 0

Q: B- Find if y = (x²+1)(x+3)²/2 -, x >1. dx X-1

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Q: f(x) dx = -4, f(x) dx = 6, g(x) dx = 8 - If g(x) dx b. c. 3f(x) dx d. dx x) - g(x)] dx g(x)] dx e.…

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Q: If dx - F(x) =f(x) and F(– 1) = F(2) = – 5, then f(x)dx = %3D

A: Please refer the attached image for complete solution.

Q: dy If 3x -1 and if y= - 1 when X=1, then y= dx A x³ - x-1 x³ +1 © x³ - x+1 D -x3 + x-1

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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: In the function given. Evaluate the integrals.

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Q: x dv (2.v) - dx (V²1) dv (1+r) dx X 2 \-2 V-V²

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Q: 9. If | f(x) dx = 20 and f(x) dx = 3.6, find f(x) dx.

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Q: In(3x) Given f(x) the derivative f' (x) is 3 O x3x 3 3 1 3x 3x

A: differentiate both sides with respect to x and solve the question. see 2nd step.

Q: for all of dx 1- y = xvInx 2- y = 3 x(x-2) x²+1

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Q: Find for all of : dx 1- y = xvInx x(x-2) x²+1 2- y =

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Q: -3 f(x)dx = 8, | f(x)dx = 1, Let f(x)dx = 4. -5 1 -5 Find f(x)dx

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Q: Find the constants a and b that maximize the value of -x²) dx. (a, b) =

A: ∫ab(1-x2)dx

Q: f(2o+h)-f(x0) h 7- What is the approximate derivative of f(x) = 5x³ + 4x² if we use forward…

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Q: Let ƒ(x) = x3 - 3x2 - 1, x>= 2. Find the value of dƒ -1/dx at the point x = -1 = ƒ(3).

A: We will need inverse function theorem. Statement of the theorem is:

Q: (2+3t2 3x2 dx 1+ x3 6. Find the derivative of the function F(t) = 2-3t2

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Q: 1. (2x6x5 +7x³-3x² - 11) dx 2. f(9y2 +6y-4-y-5+1) dy (12x-x+x) dx 3.

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Q: What is the I.F of (2y^2+3x)dx+xydy=0?

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Q: 7. f(x) = sech"(vi-x) 8. y = sech Inx

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

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Q: Find dy when x=3 and dx = 0.2. y=x-5x³ +3x² + 2x-7

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Q: Suppose f(x) = In(x³ + 5x + 7). df Find the derivative dx f' (x) =

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Q: Q2: Fill the blank: 1) lim (1+)5x x48 4x 2) lim x.e-3x = X-8 3) (csch-¹x³) = = 4) ₂° e-*dx 5) S-…

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Q: f(x)dx =| -8 -4 -4 (9f(x) – 7)dx

A: see below the steps and calculation

Q: Find the derivative: n[(x³ + 2) (x² + 3)]. Evaluate S dx. Зx8 — 2 2x*- x2 Evaluate dx.

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Q: |(2 f(x)+3) dx=19 f(x)dx then equals?

A: ∫afx+bdx = a∫fxdx+∫bdx

Q: The f ²-3)³ dx is equal to x2

A: Given: I=∫x2-33x2dx For evaluating given integral, first we simplify given expression then integrate…

Q: of dx forf = 3x² y² – 4.x³ y Q2. + -

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Q: x2 + 2x + 4 dx 3-Jx– 1)(x² + 2x + 1)

A: Convert rational function into partial fraction. And than integrate function.

Q: 2. Find the derivatives: (a) f(x)=(x² - 2x+1) (x² -1) x+2x+5 (b) f(x): %3D x² +1

A: Part (a) Given a function Using product rule of the derivative

Q: + 2e* – 4V¤)dx , where f(0) = 7 -

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Q: dy 6-x.-3y= x' dx

A: we are given an ode -x*dy/dx -3y=x2 we have to solve this ode as we can see, this is a linear first…

Q: ht(s) of 1+x² f(x) = 1+x

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Q: 18 13 f(x) dz - f(x) dx = f(x) dx where a = and b =

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Q: 5x 2 Evaluate: f fx fdz dy dx 2

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Q: 5 If f(x) dx = 37 and g(x) dx = 16, find [2f(x) + 3g(x)] dx.

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Q: f(x) = arctan (V2x + e-4z

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Q: .5 If f(x)dx 4 and | f(x)dx =7, then f(x)dx = %3D

A: Answer is below

Q: 9. If f(x) dx = 33 and g(x) dx = 16, find [2f(x) + 3g(x)] dx.

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Q: Find the value of (x)) dx if f(x) dx=11 and f(x) dx=3.

A: here we have to find the integral vaule

Q: If ƒ x Inx dx = x² In x – S f(x)dx, what is the value of , 4f (x)dx?

A: Integration is the process of finding the anti-derivative function of the given function.…

Q: .5 If f(x) dx 10 and f(x) dx = 3.1, find f(x) dx. Answer:

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Q: -2 S.f(x)dx -4 a. b.5°2f1x) dx C.5f(x) dx

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Q: f(x)dx if V3 Find 3 | f(x)dx = -2 and f(x)dx = 4 f(x)dx = 3

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Q: Suppose f(x)dx = 2 and f(x)dx = 1, and ſ, 3f (x)dx = -6 ,what is f(x)dx

A: The property of definite integration to be used for solving is: ∫abf(x)dx=∫acf(x)dx+∫cbf(x)dx where…

Q: 2. Find b such that dx 1+x2 3

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Q: '5 If f(x) dx = 8 and f(x) dx = 5.3, find f(x) dx. If f(x) dx = 31 and g(x) dx = 14, find [4f(x) +…

A: 1. ∫17f(x)dx=8 and ∫57f(x)dx=5.32.∫07f(x)dx=31 and ∫07g(x)dx=14

Q: 5 If [F(x) dx f(x) dx = 7.4 and 1.°F(x) dx f(x) dx = 5.7, find [²1 f(x) dx.

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Q: Let ƒ(x) = x2 - 4x - 5, x> 2. Find the value of dƒ -1/dx at thepoint x = 0 = ƒ(5).

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