Given that (a) (b) Prx [ FLX f(x) dx = 3 and f(x) dx 2 [²(x [²Px) dx - [Px) dx f(x) f(x) f(x) dx = 9, evaluate the following.

Q: S 3 (x + 1)(x² + x) -dx

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Q: (b) y = Vr - 4x Find if (a) dx

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Q: Find the cost function for the marginal cost function. 0.02x. C'(x) = 0.07 e fixed cost is $5 C(x) =

A: To solve the integral

Q: Differentiate the function below. y= (x2 + 4) (x² – 2) 8 d [(x? +4) (x² - 2) ® _ = O %3D dx

A: Ans is given below

Q: Find f(x)dxif 5 | f(x)dx = -8 and / f(x)dx = 3 6. | f(x)dx = i

A: Solve the following

Q: Evaluate (3x + cos 4x) dx

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Q: Evaluate x x-8 dx.

A: To evaluate the given integral.

Q: Given f(x) dx = 12 and f(x) dx = 5, evaluate (a) f(x) dx. (b) f(x) dx. (c) f(x) dx. (d) 2f(x) dx.

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Q: Evaluate f +3 /1+x4 3 dx.

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Q: The nh³ (2x) sech (2x) dx is equal to O A. sech³ (2x) sech³(2x) +C 3 10 O B. tanh°(2x) +C OC. sech³…

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Q: dx XI. Vx(x+1)

A: Here I am attaching image so that you understand each and every step.

Q: x+3 dx 1-x2

A: This problem can be solved using the concept of integration by substitution.

Q: x +1 dx x(x² + 4)' (f) | #(2² + 4) ع و ش

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Q: (In x)² dx 3r

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Q: Given f(x)=x+(1/x).   Find f(a).

A: Given, The function is f(x)=x+(1/x).

Q: Find if y = (x² – 1) (x³ + 2). dx

A: We expand the given expression and then use power rule to find the derivative.

Q: Given f(x) dx 8 a

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Q: Differentiate the following function. 6x2 +5 y = x2 +1 dx (x² + 1)< dy (x² + 1) • : (6x² + 5) + (6x²…

A: You just need to apply quotient formula in order to solve this.

Q: Find f. f"(x) = 6 + 6x + 36x², f(0) = 3, f(1) = 14

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Q: Evaluate f (e* + 2x)² dx

A: We need to evaluate ∫ex+2x2dx. So,                ∫ex+2x2dx=∫ e2x+4exx+4x2dx=∫ e2xdx+∫ 4exxdx+∫…

Q: x) = (1/3)x - 6

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Q: ム× dx (x2+1) (3x-2)

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Q: S(3x2 – x) dx

A: Given integral is ∫3x2-xdx.

Q: (b) Evaluate In(x) dx 1

A: The given integral is divergent.

Q: te the following: 2x dx x - 4 dx

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Q: Consider f (E) dx x2 f (x) dx where a,b, and c are numbers. What values must a,b, and c have in…

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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: f(x) = sgn([x]) +1

A: The Signum function is denoted by sgnx and defined by,                                sgn(x) =-1if…