r1/2 If the substitution Va = sin y is made in the integrand of dx, the %3D 1- x resulting integral is

Q: 1. Evaluate the following integrals. (a) (cot 0 + csc² 0 sin 20) d0

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Q: Find the area under the curve y=sin2x from x=0 to x=3pi/4 A. 2 B. 1/2 C. pi D. 3/2…

A: The curve y=sin2x from x=0 to x=3π4

Q: Show your complete solution: Evaluate the triple integral ㅠ pxy 2 L x 0 COS Zdzdydx X

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Q: Which of the following integrals are improper? Why?  integral 0 to 1  tan x dx

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Q: a) Find the area between the two curves y = 4/2x and y= 2x as shown in the shaded region below. 15…

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Q: For each of the integrals choose the correct trigonometric substitution for æ and find dr. Do not…

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Q: 7 of 25 skip Which of the following integrals is not a geo for integration by substitution? Aidate a…

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Q: O Set up, but do not solvethe integral that would be needed to find the area of the surfac obtained…

A: we have to find length and surface area

Q: +C. What should be the value of e to make F(0) =0? cos-sino de has the form 2 2 The resulting…

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Q: Question 2 Estimate the integral sin? x ) dx by the trapezoidal rule using n = 5. а) О0.7000 b)…

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Q: Evaluate the integral 7x sin y dy dx. 00 The value is (Type an exact answer, using x as needed.)

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Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact…

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Q: Using Simpson's 1/3 Rule to approximate the integral .2 | sin(x)dx, n=10 What is CS,) ? Round off…

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Q: Evalwate the Integral Sin (x" +y2) dydx

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Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact…

A: The given integral,      ∫33316x-33dx

Q: Consider the following definite integral. Зх dx This integral could be evaluated geometrically by…

A: Consider the definite integral

Q: Evaluate the following integrals: 1³ L (a) S cos(x) dx dy 4y (b) p== e-²-y² dy dx (Hint: Use polar…

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Q: I. Evaluate the following integrals. · cos³@de 4. S 1-sin® 5. S tan ( – x) dx

A: To Determine :-  The integral  4. ∫cos3 θ dθ1 - sin θ 5. ∫ tan  x4 - x  dx

Q: I. Evaluate the following integrals. 4. cos*ed@ 1-sin® 5. S tan (; – x) dx

A: ∫cos3θ dθ1-sin θ Let I=∫cos3θ dθ1-sin θ        =∫(cos θ. cos2θ) dθ(1-sin θ)       =∫(cos θ)(1-sin2θ)…

Q: Q4. a) Evaluate the following integral: 3 sin(5x? + 5y²) dA where Ris the region in the first…

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

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Q: 1. Evaluate the following integrals: '1 36" dx 6* + 3 (a) cosh x + ecotha sinh? x sinh x - (b) dx 4…

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Q: 5. For Parts (a) (b), find the exact value of the integral by reversing the order of integration.…

A: Proceed as shown below

Q: Choose the correct answer to the following integral: 1 dx x In? (x) where 0 < a <b are positive real…

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Q: Consider cos 0 d0. What is the best-fit parabola to cos e using the (a) three points 69 = 0, 01 =…

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Q: (1) Evaluate the following integrals | [sec? r– csc r cot x]dr - (2) Evaluate: = | a" log adr %3D…

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

Q: Evaluate the following integrals: √√√²² S dy dx (Hint: Use polar coordinates)

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Q: 1. S( 3 cos (37*) dx du

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Q: π.χ. Evaluate the integral 8x sin y dy dx. 00 The value is. (Type an exact answer, using as needed.)

A: The given integral,    ∫0π∫0x8x siny dy dx

Q: Question 12 Compute the following integrals: (a) fix√2x - Idr. (b) Sze-37 dz. Pay attention to…

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Q: 1. Evaluate the following integrals 5ecz sin z dr. cos? I (a) (b) e sin zdr (use integration by…

A: Explained below

Q: H.W: Evaluate the integral 3 0 2π π 5. || (sinx + cosy)dxdy

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Q: Let y = cosh(lnx?) then find y'. %3D O a. – sinh(lna?). 2 O b. - sinh(2a. Ina?) sinh(2z.Inz) O d. 1

A: Solution: The objective is to find the derivative of the given function

Q: 2) Solve the following integrol with details. -21 r3 cos? Oredr sinQdo =x 2 32TT a x=?

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Q: Question 13 Evaluate the integral J sinh? (2x)cosh(2x) dc sinh“(2x) +C A sinh(2x) +C B 9 costf(2x)…

A: Use the derivative identity, ddx(sinh(ax))=acosh(ax) And the power rule of integration is:…

Q: Evaluate the iterated integral. (T/3 cos(0) 3r? sin(0) dr d0 Jo

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Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

A: Given:  the integral is ∫0π22cos2xdx. To Find: It is required to approximate the integral using the…

Q: V4 the integral | -dx, becomes O None cot2 (0)d0 tan? (0)de cos? (6)de 4 sin (0)de

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Q: paluate the following integrals: 1. e ах cos bx dx [CBSE 2002]

A: Let I  =∫eaxcosbx dxUsing integral by parts formula and taking eax as first function, I =…

Q: 3n/4 cot a In(sin r) dx

A: Use integration by parts

Q: Use Simpson's to approximate the integral 2+x* dx, n=4.

A: The integral is ∫012+x4 dx, n=4

Q: Homewor Answer the following questions: (1) Evaluate Så e2x sin(3x + 2)dx 3

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Q: Question 16 Which of the following is one of the correct/convenient steps to evaluate -+dx which…

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Q: Vīdx For items 3 and 4, refer to ſ -rak x+1 4. Evaluate the given integral using Trigonometric…

A: we will do it by substituting x as follows

Q: AME: 1. Convert the following integral to a double integral in rectangular coordinates. Do not eval-…

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Q: Evaluate the following integrals: (a) [*[**cos(2) dx dy VI- b) √ √²²- e−2²−² dy dx (Hint: Use polar…

A: We have to find the given double integral. (a) The given integral is…

Q: Which of the following integrals represents the arc length of the portion of the curve f(x)=8x2 + 3…

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Q: up, but do not evaluate, an Integral for the length of the curve. y = 7 cos(x), 0 < x < 2n dx

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Q: Evaluate Si e2x sin(3x + 2)dx 3 Evaluate using integration by substitution Sx²(3x³ + 5)9dx Evaluate…

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…