2. (x²-1)3/2 - dx

Q: Use trigonometric substitution to find or evaluate the integral.

A: Given: The integral, ∫-12x24-x2dx.

Q: (b) Evaluate the integral using by parts (* sin 2xdx formula:

A: Let I=∫x2sin2xdx. We have to evaluate the integral by using integration by parts.

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 4 dx (1 –…

A:

Q: Evaluate the integral using the indicated trigonometric substitution. 6x³ V9 – x² dx, 3 sin(0) x =…

A:

Q: Use a trigonometric substitution to evaluate the integral. dx

A:

Q: Evaluate the integral using substitution. 1) cos (8x²) dx, X COS

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) substitute…

Q: Find the exact value of the integral using formulas from geometry. 5 (3+ 2x)dx 1

A:

Q: dx (a²+x²)z 1. S- 3

A: We can a valve the given integral by using the substitution x= a tanθ.

Q: 8. Evaluate the integral by using trigonometric substitution 4x-x2

A:

Q: use an appropriate substitution and then a trigonometric substitution to evaluate the integrals.

A:

Q: Evaluate the integral using the indicated trigonometric subs x² - 81 dx, x = 9 sec(0)

A: To evaluate: ∫x2-81xdx Solution: Let substitute x=9secθ Differentiating both sides,…

Q: use an appropriate substitution and then a trigonometric substitution to evaluate the integrals.

A:

Q: use a geometry formula to find the exact value of the definite integral  lxl dx on the interval…

A: Line AOC represents the graph of y=mod x in interval [-2,1]. Here coordinates of 0 are (0,0), A are…

Q: 5. Evaluate the integral by using trigonometric substitution. x2 dx Vx² – 25

A:

Q: x2 dx V9 – x2

A:

Q: x²dx V 2х-x2

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Q: Find the indefinite integral using the substitution x = 6 sec(o). (Use C for the constar…

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Q: Evaluate the integral using Trigonometric Sub. 3 |(22 + 2z + 11)ždz

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

Q: Apply the substitution to transform the integral into a trigonometric integral. Do not evaluate the…

A: ∫x316-x2dx

Q: 5. Evaluate the integral by using trigonometric substitution. x2 dx x2 -25

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Q: Evaluate the integral using the trigonometric substitution x =2 tan0 . x3 %3D dx x² + 4 Vx²

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Q: Evaluate the integral using any appropriate algebraic method or trigonometric identity. 4 dx sec x-…

A: Given integration

Q: dx J x³Vx² – 9

A:

Q: Use an appropriate trigonometric substitution to evaluate the integral below. x2 dx 9 – x2

A:

Q: 5x'/1 – x² dx

A: Given: I=∫015x31-x2dx For evaluating given integral, we substitute x=sinθ…

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. tan (4x) sec2…

A:

Q: Use the table of integrals to evaluate the integral. (Use C for the constant of integration.) [ 7…

A:

Q: 8. Evaluate the integral by using trigonometric substitution 2 dx V4x – x2

A: We have to find the indefinite integral.

Q: 6x° /9 – x² dx, x = 3 sin(0)

A: Here we have to find the given integration by using the given trigonometric function.

Q: Evaluate the integral using any appropriate algebraic method or trigonometric identity. 2x x* +7 xp-…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 7 (1 – tan²c«) dx sec?(x)

A: NOTE: Refresh your page if you can't see any equations. .

Q: 5x³/1 – x² dx

A: To evaluate the integral ∫01 5x3 1 - x2 dx

Q: Use trigonometric substitution to find or evaluate the integral

A: the given integral is: ∫34x3x2-9dx we have to use the trigonometric substitution to find or evaluate…

Q: Evaluate the integral using the indicated trigonometric substitution 9x3 V9 x2 dx, x 3 sin(0) Note:…

A: Given,

Q: Evaluate the integral using trigonometric substitution ∫3x^5√16-x^2 dx

A: ∫3x516-x2 dx Put, x=4sinθ⇒1=4cosθ·dθdx⇒dx=4cosθ dθ

Q: dx 2. S: 3 cos x+2 sinx-5

A: Evaluate the integral ∫dx3cosx+2sinx-5

Q: Use trigonometric substitution to find or evaluate the integral                            ∫ x3 /…

A: Consider the given integration as∫x34+x2dx

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. sin (4) dx +C

A:

Q: Find the integral using an appropriate trigonometric substitution /25x² – 1 dx

A: Trigonometric substitutions can be used in integrals to simplify a complex integral. Some of the…

Q: COS x dx 1+2 sin x

A: We have to solve

Q: Find the integral using Trignometric substitution. sqrt(x^2-81)/(x^2)dx=

A: Consider the given integral: I=∫x2-81x2dx Here, the objective is to find the value of I using…

Q: V1-x² 3. S -dx

A:

Q: Evaluate the integral using the indicated trigonometricsubstitution. Sketch and label the associated…

A: Consider the integral  ∫x3x2+4dx

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. (9x – 8)° dx…

A: We need to evaluate: I=∫9x-89dx by using appropriate substitution. This can be evaluated as follows:…

Q: Evaluate the integral using Trigonometric Sub 3 + 2z + 11)ždz 2

A:

Q: Find the integral using an appropriate trigonometric substitution 25x2 – 1 dx

A:

Q: Evaluate the integral using the indicated trigonometricsubstitution. Sketch and label the associated…

A: substituting the value of x in the integration we get  x=2sinθ⇒dx=2cosθ

Q: Use an appropriate substitution and then a trigonometric substitution to evaluate the integral. dx…

A: Given query is to find the integral.

Q: Use appropriate substitution and then a trigonometric substitution to evaluate the integral. dx for…

A: The given integral is ∫dxxx2-4. First, use the substitution x=2t. Then, dx=2dt. Substitute the…

Q: xdx 3 2.

A: Given : ∫xdx16-x23