Evaluate using TrigonometriC substitution. dx 4. S (3+x+V6x)(3+x-V6x)

Q: 2π sin πα? -dædy. x² (b) Evaluate

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Q: -π/4 x3 dx (x²+4)5/2 (Use trigonometric substitution)

A: We have to solve above question useing trigonometry substitution

Q: dx Use trigonometric substitution. V16+x²

A: The solution are next step

Q: 4 Using trigonometric substitutions, ſ xV16 dx is equal to: - x V16 – x2 + C /16 - x2 -In -4ln + C…

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Q: π/4 x³ dx (x²+4)5/2 (Use trigonometric substitution)

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Q: x? -dx ² 2 Integrate by trigonometric substitution: V7 -x

A: We have to find the integral

Q: Evaluate fx sinx? dx. A. В D) Does not exist 비2

A: Given, I=∫-∞0xsin x2dx

Q: Evaluate using Trigonometric Substitution: 1 dx x/2ax-x² Væ(2a+æ) + C 2ax æ(2a,x) + C ax None of the…

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Q: x² –9 2. dx. Use trigonometric Substitution. .3

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Q: THWI Find d?y /dx? for and cos

A: To find the d²y/dx²

Q: dx (x²+4)² 5. f;

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Q: Using trigonometric substitutions,S dx, x > 3, is equal to: Vx2 - 9- 3sec-1 () +C +c

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Q: f Co3 n = and sin nLO, findi sin Can)

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Q: S- 7- 16x? 1. dx Do not use trigonometric substitution for #1 (it is not necessary). Use another…

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Q: Using trigonometric substitutions, S dx is equal to: 4. V16 – x2 + C V16 -x2 + C -4ln -In O This…

A: Integration by substitution

Q: 6. Evaluate using trigonometric substitution: Væ² – 9 dx.

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Q: 1. dx Find the value of a so that %3D 4 1-x2 %3D

A: Topic:- calculus

Q: x²-4 dx can only be evaluated using trigonometric substitution technique . The True B False

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Q: x dx in two ways: using the direct substitution u = x² – 4 x? - 4 and by trigonometric 11. Evaluate…

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Q: dx (2x-3)√5-12x+4x² 6. f

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Q: Vx2-9 Using trigonometric substitution, what is S dx ? x3

A: Evaluate: ∫x2-9x3dx

Q: Evaluate using Trigonometric Substitution: 1 dx 1+yx O V1- Væ(v¤ – 2) + C V1+ va(V + 2) + C O V1+…

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Q: π/4 x² dx (x²+4)5/2 0 (Use trigonometric substitution)

A: Given integral I=∫0π4  x3(x2+4)52 dx

Q: dx Using trig sub, find - By the rules, Vu2 + a² x/(x³)²+1 can be used where u=a tan0. What should…

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Q: dx Evaluate S- (x²+9)72 using trigonometric substitution 3/2

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Q: dx (x+3)²-25 7. S

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Q: -4 Vx²+4x-5 Consider 1 dx, using trigonometric substitution find x. x+2

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Q: 10. Use an appropriate Trigonometric Substitution to integrate: 16 dx x2-8x+16 a) Jave Va-64 b) S-…

A: Integration problem

Q: Using trigonometric substitution, what is Vx2-9 dx x3

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Q: 13. Evaluate using the substitution u = 1 – x² or trigonometric substitution. (b -ак х (a) dx x4 (c)…

A: Thank you for the question, As per our honor code we'll able to solve only first three sub parts of…

Q: Implicit Differe htiation Gilen Zxyt cosメっ? atX=o タ 仕大ox 8S0フ+ XSe)

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Q: Use trigonometric substitution if possible dx x? (9x2 – 4)2

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Q: Using appropriate trigonometric substitution, dx J xV1 - xV1 – x2 | is transformed to

A: Topic = Integration

Q: * What trigonometric substitution should be used to evaluate x² - 9 dx? x2 A x= 3tane B x= 3sine…

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Q: Using trigonometric substitutions, S dx is equal to: XV16 - x2 V16 - x2 +C 4 V16- x2 - In In 4 This…

A: Let I=∫1x16-x2dx

Q: Fliminate the following. the parameter ) from x(H=2Sint (+)=5 cosf

A: Given, x=2sint        .....(1)y=5cost       .....(2) From equation (1) and (2) sint=x2         ....…

Q: x2. x² – 9 dx ? Using trigonometric substitution, what is

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Q: Evaluate using Trigonometric Substitution: dx (16+#²)? æ(x²+16) tan-1 +C - a2+24 x(x²+24) 6 tan-1 +…

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Q: Using an appropriate substitution, Evaluate fx*(1– x) dx. i) •3 x2 ii) Show that , dx = =- In 2 .…

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Q: x² dx (x² – 8)° .2

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Q: x -9 Using trigonometric substitution, what is dx ?

A: To find ∫x2-9x3dx

Q: x² V1-x2 dx Use trigonometric substitution 2.

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Q: QSolve using trigonometric substitution: dx 2.

A: NOTE: As per our guidelines, I have solved the first problem in the picture. If you want the answers…

Q: M3.3 Trigonometric Substitution dx e2x +1

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Q: V9 - 4x? dx

A: See the details solution in below

Q: Evaluate using trigonometric substitution. (Use symbolic notation and fractions where needed. Use C…

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Q: dx 5. Half-Angle Substitution J 3+5cosx

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Q: /9-y dy

A: We have to integrate.

Q: Use the three trigonometric substitutions (if required) to evaluate 5 -dx. Use C for the constant of…

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Q: Evaluate using trigonometric substitution. (Use symbolic notation and fractions where needed. Use C…

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Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.