.3 Use Trigonometric Substitution to evaluate: dx 2 |1+4x²

Q: B. USING GAUSS QUADRATURE WHEN N=6 5 -3 (4x − 3)³ dx

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

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Q: V2 2. 2.

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

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Q: Use the method of substitution to evaluate 2x cos x2 dx. sin x? + c 2 - sin x? + c sin x? + c - sin…

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

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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: The appropriate trigonometric substitution for dx is 3r-r2

A: To find:∫13x-x2dx

Q: the following 2 √x² √₁ + x dx aluate

A: Given query is to find the integral.

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 area of one leaf rose r=a cos 2B

A: The given polar curve is: r=a cos 2β

Q: State the atio of each of the 1 basic trig functions in relation toa for the triangle in the feure…

A: Let's find.

Q: Evaluate dx without using a trigonometric substitution. 9+x2

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Q: Using trigonometric substitutions, S –a dx is equal to: xv16 – x²

A: Using trigonometric substitution to evaluate this integral as follows.

Q: Eyaluate Using trigonometric substitution, fydy /2

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

Q: Evaluate the followingintegrals.

A: we have to evaluate the integral ∫sin2xdx

Q: Which of the following trigonometric substitutions is the most appropriate to the intgral - e4xdx -?…

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Q: 1. Use trigonometric substitution to evaluate each of the following. (») /: dx x² + 4x + 3 (b) dx (4…

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Q: sin' x dx

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Q: 1 dr r/1+ x6 (use trigonometric substitution) 3.

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Q: Use TRIGONOMETRIC SUBSTITUTION 1 to find f dm m²V9-m2

A: LetI=∫1m29-m2dmI=∫1m232-m2dmSubstitute m=3sin(x)Differentiate…

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: "풍 2 secx dx tan³x + 4 tanx

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Q: Find the area inside one leaf of the rose: r = 5 sin(40)

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Q: dx 7. J x3 Vx2-4

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Q: ecos z sin zdz

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Q: In(1 – x) dx

A: We have to solve this integration

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

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Q: S sin? xcostxdæ

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Q: Evaluate the following using the TRIGONOMETRIC SUBSTITUTION METHOD: 1.5 dx

A: Given: I=∫dxx2x2+4 For evaluating given integral, we substitute x=2tanθ…

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

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Q: | (3x (За? — sin x + 2) dx

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Q: ind the are length x =3y'

A: Arc length = 8(82√82 - 1) /243

Q: Evaluate using trigonometric substitution ∫1/(x^2√1+4x^2)dx

A: Given that: ∫dxx21+4x2

Q: find- given that 2xy= 4 2 dx

A: In this question, we need to find the second derivative of the given function.

Q: TT secx dx cot 3x

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Q: Evaluate using trigonometric substitution ∫1/(4x^2+16)^3/2 dx

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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: 6. Plot r = 4 cos O :

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

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Q: Find the area enclosed by one leaf of the rose r= 8 cos (50).

A: Given: r=8 cos 5θ To find: The area enclosed by one leaf.

Q: b. tanh(3 + i)

A: The general form of a complex number is given by z=a+ib, where a,b are two real numbers and i=-1.…

Q: dx 9. 3/2 (4-x2)³/2

A: Given:

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

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Q: ind the area in the first quadrant that is inside the circle r= 4 sin 0 and outside the lemniscate…

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Q: -1/2 1 b) -dx (1+4x²)[tan" (2x)}

A: We apply substitution method of integration