as) Find )s(3-1x-4/)dx ) S/2x -3| dx ) S12x-31 da O6) by use chang of variables find

Q: What is the positive value of x in th 12-x-6=D0? O a 6. Ob 3 1.

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Q: What is the formula that would be used to calculate the trapezoid approximation of ST 2s in x dx…

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Q: Use FTC I to show that x" dx = 0 if n is an odd whole number. %3D Explain graphically.

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Q: O 2y = x In cx?

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Q: 59. Show that for any number a > 1 -Ina In x dx + e dy = a In a,

A: Given: ∫1alnxdx+∫0lnaeydy=alna

Q: Determine how large the number a has to be so that dx

A: To solve this problem we will first solve the integration and then use the concept of linear…

Q: Which of the following is equal to (2° – 7æ)*dx = (x6 -

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Q: find? dz =? %3D X = In(4 Cosu) y=4Sinu

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Q: Q3/ By using definition, proof that cot x = - csc2 x. dx

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Q: Use geometry to find a formula for x dx, in terms of a.

A: Consider the given integral  ∫0ax dx Now, draw the geometry for the integrand The shaded part is…

Q: If In = + a?)" dx, show that - (x(x² + a²)" + 21na²In 1]. 2n + 1 1 In

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Q: Use a computer algebra system to approximate the it 2x 1I. * + 3y) dy dx

A: GIVEN DATA : The integral∫02∫x22xx3+3y2dydx Let the integral I=∫02∫x22xx3+3y2dydx First integrate…

Q: make the given substitutions to evaluate the indefiniteintegrals. dx/ √(5x + 8)

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Q: Determine whether the statement is true or false. If it is true, explainwhy. If it is false, explain…

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Q: Consider the following. (If an answer does not exist, enter DNE. f(x) = In(x² + 7) %3D (Entor voUr

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Q: ctions. Then give the horizontal asyr 4x 37. f(x) = 20x + 1

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Q: 7 Calculate 2x+ x-) dx, given the following. 7 8 218 169 Xdx xdx = 12 3 3 7

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Q: a) I = [ In(1+x²)dx

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Q: dx Evaluate Зх — 12

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Q: 1 dx, x > 2 x2 Vx2 – 4

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Q: 6. Use symmetry to evaluate the following integral. (6x* - 5) dx

A: Given: -

Q: calculate MN and TN for the value of N indicated.

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Q: Use symmetry to evaluate the followingintegrals.

A: The given integral is ∫-22x9-3x5+2x2-10dx.

Q: 1. f 2²x²+1 dx

A: In this question, we want to evaluate the given integral.

Q: Find the value of b so that (2x – 1)dx = 10 - 1 3 O 2

A: We have to find out b

Q: Find the values of a that make: ja- |(x– 2)dx = 6

A: Answer

Q: d In(12 – x²) at æ = 1. dx Evaluate

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Q: cln 2 In 5 e2x+y dy dx Jo 1

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Q: /2 dx by completingquam, show thad 353 スーx+

A: The integral function is ∫012dxx2-x+1=π33.

Q: ay ind xp 343 3x² + 9xy? = 9x² %3D dy

A: We have to find the derivative dy/dx based on the relationship given between x & y.

Q: The integral 2N | 6xe- dx can be done with the substitution u = and du = dx.

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Q: Use symmetry to evaluate the followingintegrals.

A: The given equation is ∫-223x8-2dx The symmetric property for integral is expressed as…

Q: Evaluate each intcgrals by using the fundamcntal idcntitics and the double 4 half formulas. Trin x •…

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Q: Find the intenal of cor 0 (-1)^xn 8. ht3

A: Explanation of the answer is as follows

Q: Use symmetry to evaluate the followingintegrals.

A: Given: ∫-22x9 dx

Q: Show that for B > 0, Be-Ba dx = 1. |

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Q: dx Evaluate xV x2 - 4 TT 2 4 O O

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Q: 4. Describe in detail three separate ways to find /. Evaluate any two of these to show that they are…

A: I=∫x9-x2 dxUsing substitution method:u=9-x2du=-2x dxx dx=-du2=∫x9-x2  dx=∫-1u du2=-12∫duu=-12∫u-12…

Q: If IN = frNe-2= dx, show that IN +IN-1, and hence evaluate f r*e-2" dx = -

A: As per bartleby instruction when more then one question is given only one has to be answered. Please…

Q: . Determine how large the number a has to be so that dx

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Q: Graph the integrand and use geometry to evaluate the integral. (3+5x)dx | (3+5x)dx = (Simplify your…

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Q: 7. Use appropriate formula of geometry to evaluate the followings. L(lx – 3| + V36 – x²)dx b. L(2x +…

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Q: Determine whether the statement is true or false. If it is true, explainwhy. If it is false, explain…

A: Given, ∫04xx2-1dx=12ln(15)

Q: Which of the following is equal to – 7æ)*dx = . %3D

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Q: Determine how large the number a has to be so that dx

A: Given that: ∫a∞1x2+1dx<0.005

Q: make the given substitutions to evaluate the indefiniteintegrals. ∫(3x + 2)(3x2 + 4x)4 dx, u = 3x2 +…

A: ∫3x+23x2+4x4dx Substitute the value of 3x2+4x=t. Differentiate the above equation w.r.t "x"…

Q: Given ſ v-x² + 4x + 5 dx. Using trigonometric substitution, what is the integral form in terms of 8?

A: the given integral is: ∫-x2+4x+5dx using the trigonometric substitution , we have to determine what…

Q: 3 Given that ex dx = e³ – e, use this result to evaluate 7ex + 4 dx.

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Q: Evaluate the following 1, the intergral from 0 to 1 of (dx)/(√(7-6x-x^2) )

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