4. 7. Suppose f(x)dx = -6, f(x)dx 6, and g(x)dx = 2. Evaluate the following integrals. 2 ... Jgndx = %3D 7. (Simplify your answer.) Jogwar - 6g(x)dx = (Simplify your answer.) [g(x) – f(x)]dx = | %3D (Simplify your answer.)

Q: 5x + 6x dx. Find х - 1

A:

Q: \text { 5. } \frac{d}{d x}[c]=0

A: To show: That ddxc=0. Concept used: Power rule of differentiation: xn'=n·xn-1 Calculation: The…

Q: 20. Evaluate f(a+2) for ƒ(x) = %3D 4x-8*

A: Given: f(x)=34x-8

Q: Differentiate. y= In [(x +2)° (x + 5 (x+ 7)°] [In [x+ 2)° (x +5)*(x + 7) ]] =O dx

A:

Q: f(x)dx = f(x)dx =7, then | f(x)dx = If 4 and

A: If ∫23f(x)dx=4 and ∫35f(x)dx=7 then ∫52f(x)dx=-11

Q: 2. (a) Define what it means by for y = f(x). %3D

A:

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: 7. Use substitution to evaluate ſ 2x(4 – x²) dx.

A:

Q: 2. S (x * - x³ -3x) dx V4

A: Explanation of the answer is as follows

Q: Differentiate the function. 6. 2. y = .2 x +1 Choose the correct setup below to differentiate the…

A:

Q: x +1 8. J x(x+ 4)3 dx

A:

Q: J f(x)dx = f(x)dx =7, then J f(x)dx = If 4 and

A:

Q: Find the derivative of the function. Ax) = 6x (9 - 8x)* O (- 12x) (9 - 8x)' (6x- 9) O (-181 )(9- 82)…

A:

Q: .3 f(x)dx = 5, f(x)dx = 2, and f(x)cx= - 1, find f (x) dx If A) 2 в) -з c) 3

A: Topic = Integration

Q: 9. Describe an example that illustrates that If(x)| dx is not equal to |S f(x) dx|.

A: For a function f(x) the corresponding function |f(x)| is obtained by reflecting the parts below the…

Q: f(4x + 1)dx if f(x)dx = 1. Find Enter the exact answer. f(4x + 1)dx

A:

Q: 3. x² - x dx =? %3D [x-1]

A:

Q: Compute P(X) using the binomial probability formula. Then determine whether the normal distribution…

A: Given: n = 42 p = 0.6 q = 1-p = 1-0.6 = 0.4 q = 0.4 Formula Used: Probability mass function of…

Q: Differentiate. X y = 1/2 - 1²/²2 N|X d X dx 2 23). X

A:

Q: Evaluate. (4x + 5x²) dx -2x dx 8. 9. dx 10. -5 for x 2

A: To evaluate: ∫-12(4x+5x2)dx Solution: We know, ∫xn=xn+1n+1+C    ..(1) Here, ∫-12(4x+5x2)dx On…

Q: Sx V(x² – 5) dx 3 2

A: We have to solve the given indefinite integral: ∫x x2-53 dx Solving the integral by using…

Q: |(6x – 1) dx

A: Given Data: Integrand: ∫146x-1dx The power rule of integration is, ∫xndx=xn+1n+1+C

Q: B. Evaluate the following .5 |x² – x - 6| dx -5 1.

A: The question is determine the question is evaluate the definite integral. Note -  As per our…

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: 5. Evaluate 3x 4e³x -dx 3x e³x +1 S-

A: given integration ∫ 4e3xe3x+1dx

Q: (1.2) (3.-2) (-1.-2) (4.-3)

A: In the question it is asked to calculate the integral ∫-42f(x)dx for the graph given in question.

Q: 4.Given f(x) = 7x² + 4x – 1, find f(--).

A: Given fx=7x2+4x-1.

Q: Determine the derivative of the function g(x) (Inx)'3.

A: g(x)=(ln x)13 We need to find g'(x)

Q: 1. Show that | (4x - 6x + 1)dx = (4x3 - 6x + 1)dx + (4x3 – 6x + 1)dx

A: Given ∫154x3-6x+1dx=∫134x3-6x+1dx+∫354x3-6x+1dx

Q: 3.ƒ _(x−1)² dx √x

A:

Q: 1/3 + 4y/6 = 2/3 Show your work

A: The given equation is 13+4y6=23To solve for the value of y

Q: √(x + 3) dx √16-x²

A: Solution