Evaluate the integral by interpreting it in terms of areas. (1 - x) dx

Q: xp xy6x -x

A: The given integral ∫1x6x-x2dxThe integral formula,117. ∫duu2au-u2=-2au-u2au+C

Q: Evaluate the integral by interpreting it in terms of areas. 3 + V 25 – x² ) dx -5

A: First Method

Q: (10-5x) dx a. -5 b.S 3+ x4

A:

Q: L₁ |x|dx

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Q: Evaluate the integral by interpreting it in terms of areas. | V1 – x² dx

A: Required answer is given in next step.

Q: Evaluate the integral by interpreting it in terms of areas.

A: We graph the function y=|x| from x=-1 to x=2

Q: Q2: Evaluate the integral ° In xdx using by parts formula

A: We use integral by part

Q: Evaluate the integral by interpreting it in terms of areas. x2) dx

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Q: Evaluate the integral and interpret it as a difference of areas. 2 x³ dx

A: Given,   ∫-12x3dx

Q: Evaluate the integrals in ∫e√r/√r dr

A:

Q: Use the Table of Integrals in text to evaluate the integral 5V4 + (In(x))² dx

A: Given:

Q: Evaluate the integral by interpreting it in terms of areas: (2) [+ |x|dx (1) L₂ (3+√4-2²) dx

A:

Q: Evaluate the integral by interpreting it in terms of areas. La- (1 — х) dx

A: Solve the integral using figure.

Q: Evaluate the integral and interpret it as the area of a region. я/2 |8 sin(x) – 8 cos(2x)| dx

A: Here this is a tricky question Find where the function is positive and where the function is…

Q: Evaluate the integral by interpreting it in terms of areas. /1 – x² dx

A: The given integral is as follows- I=∫-101-x2dx The given integral is a graph of quarter circle with…

Q: dx

A: Consider the integral  ∫022x−2dx

Q: Evaluate the integral by interpreting it in terms of areas. 4 to −9(1 − x) dx

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Q: Evaluate the integral using FTC I.

A:

Q: Evaluate the integral by interpreting it in terms of areas. |x| dx

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Q: Evaluate the integral by interpreting it in terms of areas.

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Q: Evaluate the integral as a number, ∞, or −∞ or  DNE if there is no limit The integral sin(x) dx [0,…

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Q: Evaluate the integral in terms of the constants.

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Q: Evaluate the integral by interpreting it in terms of areas.  integral 0  to 9  (1/3 -2)dx

A: given that integral 0  to 9  (1/3 -2)dx We need to evaluate the integral by interpreting it in terms…

Q: Evaluate the integral using the following values. [x³ dx = 320, ["x dx = 15, ["dx-4 = dx

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Q: Evaluate the integral by interpreting it in terms of areas: + V16 – x2) dx

A: We first graph the function using a graphing calculator

Q: Evaluate the integral by interpreting it in terms of areas: (2 – |xr|) dx dr =

A: We draw the function using a graphing calculator.

Q: Evaluate the following integral by interpreting it in terms of areas: |æ| dx -1 Value of integral =

A:

Q: Find or evaluate the integral by completing the square. (Use C for the constant of integratic 1 dx…

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Q: Evaluate the integral using appropriate substitution: (ii) x^2√(1 + x)dx

A: Let the given integral be y - y = ∫x21+x dx         ..................(1)Let,u2 = 1+x…

Q: Evaluate the integral by interpreting it in terms of areas.

A: We know a simple integration gives us the value in terms of the area only. Hence, we only need to…

Q: b) [12x – 1|dx 2.x

A: The given integral ∫012x-1dx

Q: Evaluate by  ∫-2 2  (x +3 )  √ (4- x2)   dx    writing it as a sum oftwo integrals and interpreting…

A: Given: I=∫-22x+34-x2dx we know that ∫abfxdx=∫abfa+b-xdx…

Q: Evaluate the integral. Assume that A is a real number and that A < 0. dx (x – 2)3

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Q: Evaluate the integral by interpreting it in terms of areas.

A: At first we draw the graph of given function:

Q: Evaluate the integral by interpreting it in terms of areas. 2) dx

A: Given the definite integral I=∫09(13x−2)dx

Q: Evaluate the integral by interpreting it in terms of areas •5 (x – V 25 – x?) dx -5

A: Given,  ∫-55x-25-x2dx

Q: f (x) dx = :/ f(x) dx f(x) dr -1

A:

Q: Evaluate the integral by interpreting it in terms of areas. (1 — х) dx

A: Please refer the attached image for complete solution. THANK YOU.

Q: Evaluate the integral by interpreting it in terms of areas. La - « (1 — х) dx

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Q: x In(2 + x³) dx

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Q: 1. Evaluate (2 – x) dx by drawing a picture and interpreting the integral in terms of areas.

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Q: Evaluate the integral by interpreting it in terms of areas. V 25 - x2 ) dx

A: Given that, The integration is the following, I = ∫-50(4+25-x2)dx We have to find the value of this…

Q: Evaluate the integral by interpreting it in terms of areas.

A: The integral means the area under y=1-x from -1 to 2

Q: Evaluate the integral by interpreting it in terms of areas. *18 |x - 9| dx

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Q: Evaluate the integral by interpreting it in terms of areas.  integral -7 to 6   (1-x) dx

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Q: Evaluate the integral using appropriate substitution ∫(x^2 +1)/(√(x^3 +3x))dx

A: Given an integral: ∫x2+1x3+3xdx Let, x3+3x=t t=x3+3xdt=3x2+3dxdt=3x2+1dxdt3=x2+1dx Substitute value…

Q: Evaluate the integral.  integral   csc x  dx

A:

Q: (b) Evaluate uV1 – uª du. by making a substitution and interpreting the resulting integral in terms…

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Q: Evaluate (x + 3) V16 - x2 dx by writing it as a sum of two integrals and interpreting one of those…

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Q: Evaluate the integral by interpreting it in terms of areas.

A: