sin 50 de SI

Q: What trigonometric substitution will you use in solving the below integral? Note: Let W be the…

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Q: To find the arclength of y = 2x2 – 1 from æ What is the value of the integral? O to x = 3,

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Q: Given Tex+4 dx. Using a suitable trigonometric substitution, the resulting integral in terms of 0 is…

A: Given ∫19x2+4dx Let substitute x=23tanθ. dxdθ=23sec2θdx=23sec2θ Substituting the value, we get…

Q: Evaluate the integral by making exactly one u-substitution and applying any necessary formula(s)…

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Q: co cot (0)csc(0)d0

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Q: sin? x dx

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Q: sec® tan³Od0 5ød® coso

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Q: When the integral is evaluated by trigonometric substitution, e*V4 – e2x

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Q: 2rx · sin(rx²)dx sec²(/x) dx

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Q: Find the indefinite integral. sin 60 V cos 60 de

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Q: 41 sin x cos x d

A: Given integral :

Q: Evaluate the integral. 17 sin?(x) cos (x) dx

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Q: Find the integrals using Trigonometric substitutions 1 (a) / Va? – x² dx (g) - 4.x2

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Q: Use substitutions and the fact that a circle of radius r has an area πr^2 to evaluate the following…

A: ∫-π2π21-sin2x cosx dx Put, sinx=t⇒cosx=dtdx⇒cosx dx=dt When x=-π2, t=sin-π2=-1 When x=π2, t=sinπ2=1

Q: Use a table of integrals to find the indefinite integral

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Q: find formulas for the functions represented by the integrals.

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Q: 3 12Vェ) da

A: We apply usual  integration formula

Q: Determine the sign of the integral without calculating it. Draw a graph if necessary.

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Q: 10 Sin h (Ux)

A: we have to find integration

Q: What is the integral of sin? r cos x dx?

A: Given,           ∫sin2xcos2xdx

Q: cot A - sin Á dA sin2A

A: The given integral is ∫cotA-sinAsin2AdA It can be re-written as…

Q: When the integral is evaluated by trigonometric substitutio exV4 – e2x the integrand is transformed…

A: Given- To do - Multiple Choice Question with options below,

Q: evaluate the integral from pi/4 to pi/2 of cot^5(x)csc^3(x)

A: Given,           The integral from π4 to π2 of cot5(x)csc3(x).

Q: The value of the integral sin() dy dz is

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Q: Evaluate the indicated integrals if b is a positive real number constant. A. ftan () dx B. dx C.…

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Q: Evaluate the integral si 3. sin° x adx. cos? 2

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Q: TT/4 0 tant di

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

A: definate integration

Q: S tan?xsec³x dx

A: To evaluate the following integral.∫tan2 x sec3 x dx

Q: Explain why each of the following integrals is improper  integral 0  to pie/4   cot x dx

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Q: Solve The following integraltions using Trigonmetric integrals Scosx sinx dX

A: We use Trigonometry substitution method

Q: Evaluate the integral using the indicated trigonometric substitution. 2x3 dx, x² + 9 I = 3 tan(0)

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Q: (a) / va - Va? – a² dx

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Q: Consider this rose curve. r = 2 sin(60) a) How many petals does it have? b) Set up the integral for…

A: According to question, Given rose curve, r = 2 sin 6θ

Q: Evaluate the following integral [Y*arctan(1/2)de

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Q: c) S arc cot x dx

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Q: Evaluate the integral using FTC I.

A: FTC I stands for the first fundamental theorem of calculus. The same is produced below:

Q: Find the indefinite integral. sin° 70 v cos 70 de

A: Given,           ∫sin37θcos7θdθ

Q: Use the properties to evaluate the integrals. S (1+) du 1.

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Q: Evaluate following integrals.  ∫sin2x*sin2x dx ∫pi/6pi/2 cot2x dx

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Q: . Evaluate the integral Z (sin θ + cos θ) dθ.

A: Given that: ∫(sin θ + cos θ) dθ.

Q: Evaluate the followaing integrals Li (1– 2sin?(x).sin(4x) dx) |

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Q: csc x cot x dx

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Q: arctan(3r) da =

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Q: calculate the indefinite integral.

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Q: Evaluate the integrals

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Q: |(e" +1) - csc²(e* + æ)dx

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: db 2 – sin²(b) – cos²(b)

A: Solution:Given∫db2-sin2(b)-cos2bFormula;sin2θ+cos2θ=1∫dx=x+C

Q: After choosing the appropriate trigonometric substitution the integral du, becomes

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Q: Evaluate the integrals by making a substitution(possibly trigonometric) and then applying a…

A: Given: The integral is ∫(r2-1)3/2rdr   Reduction formula: ∫tann(x)dx=tann-1(x)n-1-∫tann-2(x)dx