Evaluate the following using the TRIGONOMETRIC SUBSTITUTION METHOD: 1.5 dx

Q: 15.) 16.) (( – sinx)dx 4sec

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Q: Evaluate the following using trigonometric substitution: dx V25 + x²)

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Q: 1. Evaluate √2 √4x² dx using a trigonometric substitution.

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Q: L sinht 3 %3D

A: In this question, we have to find the Laplace transform of the given function.

Q: Evaluate dx 1²√√²-49) SV x>7, using a trigonometric substitution.

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Q: Use trigonometric substitution to evaluate the following dx +16

A: The following trigonometric identity is useful, while evaluating the given integral. 1+tan2θ=sec2θ

Q: Integrate the following functions. Show the complete solutions and simplify the answers. ∫ cot4 x…

A: ∫cot4xdx=∫cot2x.cot2x dx=∫cot2x.cosec2x-1dx=∫cot2x.cosec2x dx-∫cot2x dx=∫cot2x.cosec2x dx-∫cosec2x-1…

Q: Evaluate without using a calcu lator (tw" () CoS (tan"

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Q: 1 1 dxdy 1-x²)(1-) 0 0

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Q: Use the trigonometric identity 4 arctan( 1/ 5)− arctan (1/ 239)= π/ 4 to approximate the number π.

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Q: Write the following in terms of sin 0 only. cot e

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Q: Evaluate the following using the TRIGONOMETRIC SUBSTITUTION METHOD: 1.5* x'Vx'+4

A: "Since you have posted multiple questions we will solve the first question for you if you want the…

Q: Find the distance traveled in 15 seconds by an object moving with a velocity of v(t) = 20 + 7 cos t…

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Q: Find a. cosec b. cot C. sec

A: Given. cosecπ3 cot2π3 sec7π4 We have to find the values.

Q: 2x²+x² x dx

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Q: Find cos a da 15.

A: We are asked to evaluate the integral.

Q: Eyaluate Using trigonometric substitution, fydy /2

A: Let I=∫y3dy(4-y2)32 Assume y=2 sint, ⇒dy=2 cost dt

Q: Given that O 1800, determine the numerical value of this %3D sine = %3D -1 1

A: Put  thetha=180°

Q: Evaluate. Express results in Rectangular Form correc to 3 decimal places. Arccot (3 + 4i)

A: Given, θ= Arc cot (3+4i)To find : Express the given θ in rectangular form .

Q: Evaluate the following using trigonometric substitution: dx Vx2 + 2x – 15

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Q: 3 + In?x dx

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Q: Find the numerical value of each expression a .  sech 0             b.cosh-1 1

A: a) Evaluate sech0: Simplification: We know that, sechx=1cosh(x)=2ex+e-x             since…

Q: Use this reduction formula and your answer in part a) to find ſ cosª xdx and ſ cos® xdx.

A: To find ∫ cos4 x dx and ∫ cos6 xdx First we find ∫ cos4 x dx Apply integration reduction…

Q: Use a formula for negatives to find the exact value.

A: Given, a) cot-3π4 we know that trigonometric identity, cotθ=1tanθ tanθ=sinθcosθ Now the above-Given…

Q: What is the area of a sector 2 and 0 = 1.75 radians? when r

A: Recall: Area of the sector S=θ2×r2 Given:r=2,θ=1.75

Q: 1 S. xV x¯ – 4

A: => i have provided this answer with full description in step-2.

Q: 3. arccos

A: We have given expression arccos-32

Q: Using trigonometric substitutions, dx is equal to: xV16 - x

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Q: Using appropriate trigonometric substitution, dx XV9 — х2 is transformed to

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Q: Evaluate in degrees without using a calculator.      d. sin−1(1)

A: Given problem:- Evaluate in degrees without using a calculator.        d. sin-1 (1)

Q: Using trigonometric substitution, find J Tr246rt10 dx in terms of x.

A: Hello. Since your question has multiple parts, we will solve first question  for you. If you want…

Q: Find |xV9x? +1 dx by using the trigonometric substitution of 3x = tan 0.

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Q: 3. 2x°- 2x) dx x²+10 2 t1o

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Q: dx after appropriate use of trigonometric substitution, it will be transformed into? Vx² –4x+1'

A: Given That: The integration, ∫dxx2-4x+1

Q: 1) 16 63

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Q: Find the sine of ZX. 12 Y 35 W Write your answer as an integer or as a decimal rounded sin (X)

A: In the given right triangle  base XY = 12 Perpendicular WY = 35 hypotenuse = WX

Q: TT secx dx cot 3x

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Q: Using trigonometric substitutions, S xv16 - 16 dx is equal to: - x2

A: Since you have asked multiple question,as per our guidelines we are supposed to answer only one…

Q: sinh (z) =

A: Given sin(hz) By hyperbolic function definition sin(hx) = (ex - e-x)/2

Q: Find the area enclosed by one leaf of the 4-leafed rose r = cos (20).

A: Given r = cos (2θ)

Q: Evaluate the following using trigonometric substitution: Vx2 - 4 dx

A: Find your answer below

Q: Integrate each of the following without using trigonometric substitutions. dx

A: Given: ∫dx9-x2

Q: dx 9. 3/2 (4-x2)³/2

A: Given:

Q: 12.y = sin(tanx) %3D

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

Q: Evaluate: sin? (2x) dx Round your answer to the nearest hundredth.

A: We will use reduction formula in this question.

Q: Using trigonometric substitutions, S x³/4 + x²dx is equal to:

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Q: Evaluate * cos (e + a?) dx 24 +1

A: To find: The integral ∫44cose3x+x2x4+1dx Concept used: ∫aaf(x)dx=0