Transform the integral fo o sin o sin 0 do de by the substitution x = sin o cos 0, y = sin ø sin 0 and then find its value.

Q: | sec®t tan? t dt

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Q: Evaluate the integral. cos(z) dz sin? (z)

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Q: Evaluate the iterated integral. 5 sin(x + 6y) dy dx

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Q: Evaluate the iterated integral " SL* x² sin y dy dz dx .

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Q: Evaluate the integral by choosing a convenient order of integration: x cos(xy) cos' (Tx) dA; R= x…

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Q: Calculate by u- Substitution, the follo wing integral definite 3 • cos x • sin x •dx

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Q: The integral TT tan x sec?x dx 2 O none of them is an impróper integral of type I that diverges is…

A: Improper integral

Q: Use Romberg integration to compute R3,3 for the following integral x sin x dx

A: Given integral is, ∫01xsinx dx Then, h1=b-a=1-0=1h2=b-a2=12h3=b-a4=14

Q: Get the integral of ſe*sin x dx using integration by parts c. e*(sinx – cos x) + c D. -e*(sinx – cos…

A: The integration of the integral is exsinx.

Q: 2) Use the appropriate trigonometric substitution to transform the integral into an integral in the…

A: “Since you have asked multiple question, we will solve one question for you. If you want any…

Q: Evaluate the integral.  integral  t 2 sin 2  t dt

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Q: Je t ež cos (2t)dt

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Q: Evaluate the integral by making the given substitution. sec(6z)tan(6æ)dr, u = 6z + C

A: According to question given :∫sec6xtan6x dx, u=6xWe have to evaluate the integral by making the…

Q: S(cos 3x + sin 7x)² dx

A: Here, when we solve this integration it becomes separate integration of trigonometric term and…

Q: Evaluate the integrals. Show all work. 1. 0 cos (T0) de 1/2

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Q: Evaluate the integral. 9 dx V64 - Sx2 sin +C tan sin +C tan +C a eo

A: To evaluate the integral

Q: Evaluate the integral given. sec(2a)tan(2a)dx +C %3D

A: ∫ sec(x)tan(x) dx =sec(x)+C

Q: Evaluate the integral T 22 P" sin cos e de dode Hd 0 H₂

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Q: Evaluate the double integral x sin(x + y) dA where R3 [0, 풍] x [0, 플] %3D

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Q: sec(2) tan(z) – 1 dz 1 dz

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Q: |a" cos(2°) da = +C. %3D Hint: First make a substitution and then use integration by parts to…

A: Consider the given integral ∫x11cosx6dx. Let u=x6. That implies, du=x6dxdu=6x5dxdx=du6x5 Then, the…

Q: Evaluate the double integral. 7x dA, D = {(x, y) | 0 s x s a, 0 sys sin(x)}

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Q: 7/2 y3 cos os 2y dy

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Q: Evaluate the integral / (6+ sin t)" cos t dt using the substitution u = 6+ sin t. %3D (6+ sin t)ª…

A: Given: ∫6+sint11cost dt To find: ∫6+sint11cost dt using the substitution u=6+sint

Q: Evaluate The Double Integral sin(x^2+y^2).dA where R = ((x,y)|-1sqrt1-y^2≤x≤0,-1≤y≤1

A: We have to evaluate ∫∫Rsinx2+ y2dA ,  We transform to polar coordinates first then evaluate the…

Q: Evaluate the integral (1+ sin t)' cos t dt using the substitution u = 1+ sin t. (1+ sin t)' cos t dt…

A: Recall: ∫xndx=xn+1n+1+C

Q: Evaluate the integral J x cot x² sin(in |sin x²l) dx.

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Q: Evaluate the integral (t³ In ti+ 3t³ sin (t) j+k) dt.

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Q: Evaluate the integral. |a cos(6 z) dz =| %3D

A: Topic:- integration

Q: evaluate the iterated integral

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Q: Evaluate the integral by choosing a convenient order of integration: x cos(ry) cos (Tx) dA; R= x (0,…

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Q: 3(sin y– cos y)°dy cos y

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Q: Transform the integral fo So? sin o sin 0 do do by the substitution r = sin o cos 0, y = sin o sin 0…

A: Given ∫0π2∫0π2sinϕsinθdϕdθand x=sinϕcosθ, y=sinϕsinθ

Q: Evaluate the integral f cos x(1 – sin æ)-1/² dx. O In(1 – sin z) + C O In (sin z) + C O In (cos z) +…

A: To evaluate: I=∫(1-sin x)-12dx=∫(1-sin x)-12cos x dx

Q: Evaluate the iterated integral. TT/2 (10 cos(e) r dr de of

A: ∫0π2∫010cosθrdrdθLet∫010cosθrdr=[r22]010cosθ∫010cosθrdr=[(10cosθ)22-0]∫010cosθrdr=[100cos2θ2]Therefo…

Q: sec? e de. 1- tan e Evaluate the improper integral:

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Q: Evaluate the integral. "π/4 J.T tan (0) sec²(0) de

A: This question can be solved using integration by substitution.

Q: The suitable substitution to evaluate the integral (V cot (2x) dx is sin (2x) Ou3tan(2x) none Ou=…

A: To find The suitable substitution to evaluate the integral.

Q: - sin(y) dy: cos(y) + 7 Consider the integral- This can be transformed into a basic integral by…

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Q: 21. Evaluate [sin* 0] d0 3t 16 ||

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Q: Evaluate the integral. 3 sin x dx +C |3D

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Q: Evaluate the integral L I sin (y²) dy dr.

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Q: The best substitution to use for the integral sin z V1+ cos z dx

A: when we substitute, u = 1 + cosx then the value of du = - sinx dx

Q: Find the integral by Integration By Parts. 2. 0 cos r0 de 3. cos t dt 4. x² sin x dx

A: Integrating By Parts Rule.

Q: Evaluate the integral S SR sin (x² + y² )dA where R = {(x, y)/ – V1- y <x < 0 and - 1<y< 1} %3D

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Q: /2 TT Sin (x ty) dy dx 0

A: Consider ∫0π2∫0π2sin(x+y)dydx = ∫0π2∫0π2sin(x)cos(y)+cos(x)sin(y)dy dx =…

Q: Evaluate the integral from 0 to pi/2 6 sin5(t) cos(t) i + 3 sin(t) cos2(t) j + 8 sin(t) cos(t) k

A: Given:  ∫0π26sin5tcosti+3sintcos2tj+8sintcostkdt To determine: The value of given integral.

Q: eiz 0o cos x dx? cos z Can you use - 1+ z2 instead of - 1+ z2 to obtain the integral for Jo 1+x²

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Q: Evaluate the integral   ∫∫R sin(x2 + y2)dA,   where R={(x, y)|-1√(1-y2 )≤ x ≤ 0, -1 ≤ y ≤ 1}

A: Evaluate the integral∫∫Rsinx2+y2dAwhere R=x,y/-1-y2≤x≤0 and -1≤y≤1

Q: Evaluate the integral using the given substitution. sin- dx Select one: A.-1 +1 sin2 + C x 2 3 B.-1…

A: Given information:-

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.