18. | V4 - х? dx

Q: Evaluate the given integral using the substitution (or method) indicated. (x+ 9)e*+ 9) dc; u = (x+…

A: Given inlegral ,                       (x+9)2 I = ∫ (x+9) e            dx

Q: Evaluate the following integral using trigonometric substitution. 5x? dx (81 + x)?

A:

Q: Evaluate the following integral using Trigonometric Substitutions Method: п 2. y = 1- x dx

A:

Q: Evaluate the following integral using Trigonometric Substitutions Method: dx y = 9x2 + 16

A: We will use simple Integration rules to solve this question.

Q: dy 1 Let u = tan-y sin y – cos y -

A:

Q: evaluate using trigonometric substitution. Refer to the table of trigonometric integrals as…

A:

Q: dx ·J Ja(cos²(vx)) 1. .2 | x5 ln x dx 2. 3. arctan x dx

A:

Q: Q2) Evaluate the following integral using Trigonometric Substitutions Method: dx y 9x² + 16

A: To evaluate: I=∫dx9x2+16 Substitute x=4sec u3⇒dx=43sec u tan u du

Q: Evaluate the following integrals. Use only the variables "u" (and "v" if applicable) in your…

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Q: dx x Vx² +3 2

A:

Q: Q2/ Evaluate the following integrals by using Tow – points Gaussain Quadrature So 1+x dx

A: In this,we find the value of the integral by using two points gaussian quadrature formula.

Q: sin(6x) Vi? +4 dt 7

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Q: sin x dx e lme

A:

Q: Evaluate the following integral using trigonometric substitution. 1 2 dx 3 - (4x +1 )

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Q: valuate the following Integral using trigonometric subsitutioi V441 –x? dx |441 –x² dx =O ype an…

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A: We have to solve

Q: Evaluate the following integrals S, sin () cos" () dx ) dx

A:

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A:

Q: Evaluate the following integrals : a - Sesecx. sin x dx cos? x b- S sin( In x) dx

A: a) ∫esecx.sinxcos2xdxb) ∫sin(ln x) dx

Q: 1. (1 + y?)° dy 2. S sin x+cotx dx sin?x

A:

Q: Evaluate the following integral using trigonometric substitution. dx (36 + x?)?

A:

Q: Integrate the following integrals using either integration by parts or integration by substitution.…

A: I=∫e-2θsin6θ dθ Integrating by parts, we get I=∫e-2θsin6θ dθ=e-2θ∫sin6θ dθ-∫de-2θdθ×∫sin6θ…

Q: In evaluating the definite integral ff (x) dx, where f (x) = sinx, the angle should be in:

A: Given the definite integral ∫abf(x)dx where f(x)= sinx To determine : The angle part of f(x) is in…

Q: Approximate the following integrals using the Trapezoidal rule. 0.5 b. dx d. re dx

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Find the values of the following Integrals: ii) S sinx tan'ccord dx ü) Sex uci+ e* ) dze in) St…

A:

Q: valuate, numerically, the following integrals: b) Sor sinx dx by using Simpson's rule ( take n = 4 )

A: Given, f(x)= (sin x)/x b= π/2 a=0 n= 4

Q: Evaluate the integral frever se 2. 2. SS 24 S sinxy ds dx

A: According to the given information it is required to evaluate the given integral:

Q: dx 16. 2 2 x*Vx –16

A:

Q: Q3)Evaluate the following integral by using Trigonometric Substitutions Method. dx = √√√9x² +9 y =

A: Let's solve integration by using trigonometric substitution.

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A:

Q: s) Calculate the indefinite integral using Trigonometric Substitution. X [ dx +x²

A: This is a problem related to integral. Based on the trigonometric substitution we will answer the…

Q: Evaluate the following integrals. 4 (a) (cot? 0 + csc? 0 sin 20) d0

A: definate integration

Q: Evaluate the following integrals using the indicated method: (a) Trigonometric substitution: .2 x²…

A: “Since you have asked multiple questions, we will solve the first question for you. If youwant any…

Q: Evaluate the given integral using Trigonometric Substitution 27e#dæ (6e# –9e2z +10)

A: Given integration is                                     ∫27 e4xdx6ex-9e2x+10 The formula for…

Q: Vx – 9 33. dx, x > 3 х

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Q: S csc?0cot0(1 + 3 co te)ede

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Q: 9— е2х dx a.

A:

Q: evaluate using trigonometric substitution. Refer to the table of trigonometric integrals as…

A: Given integral is We will use the following substitution as follows.

Q: Evaluate the following integral using trigonometric substitution: =dx J Vaz – 1

A: ∫xx2-1dx

Q: V9x² – 25 53. dx, x > 3 +3

A: consider I= ∫9x2-25x3 dx

Q: Use the trapezoid rule to approximate the following integrals: (using n = 4 subintervals) a.…

A: We have to find the integral using trapezoidal rule for n=4. I=∫02(2x3+3x2-1x)dx

Q: 1 dx 2 х3 — х3

A: Given: I=∫1x23-x13dx   ...1   We know that; ∫1ax+bdx=1alnax+b+C

Q: Solve The following integraltions using Trigonmetric integrals Stan'x sec3x dX X sec'X

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Q: Evaluate the following integral using Trigonometric Substitutions Method: dx y = V9x2 + 16

A:

Q: Evaluate the following integral using Trigonometric Substitutions Method: dx y 9x2 + 16

A: We have to solve above question

Q: Evaluate the following integral using Trigonometric Substitutions Method dx y = 9x2 + 16

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Q: Coso oxdox Sin?xcos? ad

A:

Q: L sin-1 x dx

A: We need to calculate the integral: ∫01sin-1x dx This can be done as follows:

Q: Evaluate the following integral using trigonometric substitution. dx b. S V(5+2x+ x²)5

A:

Q: Problem: Scot°x csc°x dx

A: Integral:    ∫cot5xcsc3x dx=∫-cot x.csc x(-csc2x(csc2x-1)2)dx Let, csc x=z=>-cscx .cot xdx=dz