Use the technique of completing the square to evaluate the integral.       1   −x2 + 2x + 63  dx

Q: 3. Find the area, take the elements of the area parallel to the x-axis. y= 2x°- 3x-9x; y =…

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Q: ng a trig substitation, the integral (A) / sec(0) do dr can be transformed into one of the

A: Please refer to the image below

Q: Find the area of the shaded region. -h ( x ) = sqrt ( x + 14) -q (y)= sqrt ( y ) -16 -14 -12 -10 -8…

A: Ans= 40 squared units  For detail...go through the solution...I have done solution in detail

Q: The area above the x-axis and below y = 4- x2 The area above the x- axis and below y = 4x -x2 The…

A: Integration within specified limits is known as definite integration. Definite integration of a…

Q: What are the values of k for which K, x² dx = 0? -3 O 3 and -3 O -3, 0, and 3 O -3 - 3 O O

A: ∫-3kx2dx=0

Q: Write the integral in terms of u and du. Then evaluate. (8x + 19)-2 dx, u = 8x + 19 (Use symbolic…

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Q: What is the area of OF? 2x – 1 G x + 2 O A. 871 В. 9л С. 16л D. 25л 2. F.

A: The give figure -  We have to find the area of the circle with center F.

Q: Vrite the integral in terms of u and du. Then evaluate. (8x + 25)-2 dx, u = 8x + 25 (Use symbolic…

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Q: Evaluate using Integration by Parts. (Use symbolic notation and fractions where needed.) хебх+4…

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Q: V5 - 4x — х2 dx

A: Used substitution to solve the integral.

Q: Evaluate (-5xº – 3x – 6x + 5)dx. Do not include +C in your answer. Provide your answer below:

A: The explanation of answer as follows

Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

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Q: Math Class 2020/202 & Monit -dyl- -ngt 8eading/writing Vigue's Ho X NDEOMjk3 5 cm 4. Find the area…

A: Problem of simple area calculation......

Q: 6x(2a² + 9) dæ

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Q: Number 19

A: Here given the side of the triangle is 6 and 11 units Also given all sides of the triangle has an…

Q: 2. 3x In evaluating -dr, the result yields to AVx +B/3x+ Dx/x +C, for constants A, B, C, D. What is…

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Q: 3x In evaluating - dr, the result yields to A Vx +B/3x+ Dx/x +C, for constants A, B, C, D. What is…

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Q: Write answer only Evaluate the integral by long Division method, use four digits after comma: x3 –…

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Q: 9, dx 3+x4 1 3C

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Q: Completing the square Evaluate the following integrals.

A: Given: ∫du2u2-12u+36 for evaluating given integral  we take 2 common from denominator, then make…

Q: Any area that is below the x-axis is considered to be --Select-- v and the area above the x-axis is…

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Q: What is the formula for the area of a square? a. A = sxs b. A = sx S x S x s c. A = s+s+s+s d. A =…

A: We have to write the formula for the area of a square.

Q: Can you help with this problem step by step?

A: Given that

Q: Using the expression A = Sa (xR -XL) dy, find the area enclosed by the parabola 2XL +6 and the line…

A: Given - A = ∫abXR-XLdy  where a = -z and b = 4 To find - Area enclosed by the parabola y = z XL+6…

Q: Show your solution: The area that lies P(-0.36≤ Z ≤ -1.10) is

A: Here,P-0.36≤Z≤1.10=PZ≤1.10-PZ≤-0.36=0.8643-0.3594=0.5049

Q: Completing the square Evaluate the following integrals.

A: The given integral is ∫dxx2+6x+18. Evaluate the above integral as follows.

Q: VI+ 25z°dz Evaluate the integral: + C

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Q: Completing the square Evaluate the following integrals.

A: To evaluate ∫dxx2-6x+34

Q: -34 da (r – 2)4/5

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Q: Find the overlapping area of two equations also give its geometrical representation: u2+v2=n  and…

A: The equation of the form x2+y2=r2 is the standard equation of a circle with radius r. To obtain the…

Q: 2x dx Using an appropriate substitution, evaluate: B 4/7 © 37 3/2 D 4

A: This question is related to integration.

Q: Evaluate the integral by completing the square and applying appropriate formulas from geometry.…

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Q: What is the corresponding area of z= -0.13

A: The area to the left of z is found from the left tailed z-table as-

Q: Use algebra tiles to solve 5x = 5. %3D 1 1 x x x x x = %3D 1 1 X = Submit

A: Here, 5 tiles of x and 5 tiles of 1 are given.

Q: Evaluate the integral 29 (2° – 2) dx -y making the substitution u = x° – 2. + C NOTE: Your answer…

A: Given query is to find the integral.

Q: (Use symbolic notation and fractions where needed. Use C for the arbitrary constant. Absorb into C…

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Q: dx 63. .2 x + 6x + 18

A: Integrate

Q: Solve the problem. Find the area of the triangle bounded by the lines y = x +2, y = 1 -x + 2, and…

A: the graph of the required area is

Q: Express the itegral in terms of the variable u, but do not evaluate it | e12z-11 dx; u = 12x – 11…

A: Topic  =Integration

Q: In evaluating -dr, the result yields to A/x+B/3x+Dx/x +C, for constants A, B, C, D. What is the…

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Q: Period: Name: ind the area of the rectangle. a. бх2- 10 b. 12х-20 c. 8x? – 26x + 21 d. 6x2 + 10x -…

A: We have to find the perimeter of rectangle

Q: Give an example of a number b > 0 such that the integral Jo dx is an improper integral. Note: There…

A: This question is related to improper integral.

Q: y = 7x2,    y2 =  1/7x Find the area

A: To find the area bounded by the curves y = 7x2,    y2 =  17x

Q: n't flip out! Compute the integral x dzdady. Vỹ/2 Jo

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Q: Completing the square Evaluate the following integrals.

A: Given ∫x2-8x+169+8x-x232dx Rewriting the expression to complete the square in the numerator:…

Q: S xsin(3x² – 2)dx

A: The following integration will used for solving the given integral, ∫sinxdx=-cosx+C. Now, substitute…

Q: 16. V5 a csc? (3а? - 1) da 4

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Q: Find the area. Simplify your answer X+8 2x

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Q: Use substitution to rewrite and solve the definite integral: 3x2 27 - Let u = New integral: du Where…

A: The given integral is:∫343x2x3-27dx