The Definite Integral as Area (x) dr 2. J Ax) dr 3. J Ax) dx 1. S M:x) dr 5. JAx) dx S Mx) dr 4. 6. 8. 9. I fla) dr

Q: In ir le) secx dx to be integrable using the formula What should be the value of A for 2- sec x…

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Q: Evaluate the integral. 16 In(y) dy Vy

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Q: Evaluate the triple iterated integral. xyz³ dx dy dz

A: ∫02∫02∫-14xyz3dxdydz=∫02∫02x2yz32x=-1x=4dydz…

Q: Evaluate the integral. inegral  0 to 1 [(2x+3)/(x+1)2 ]dx

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Q: Evaluate the itorated integral. 24 ,xty *ty dx dy

A: First we need to calculate integral with respect to x then y

Q: Evaluate iterated integral.

A: Given, ∫01 ∫36 xx2+3y dx dy

Q: What change of variables is suggested by an integral containing Vx? + 36?

A: For, an integral containing  x2+36 we can change variable by substituting, x=6tanθ, As it will get…

Q: Evaluate the integral using integration by parts where possible. r In(8r)dx

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Q: In ly-y-cf dy

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Q: Evaluate the double integral : dy dz

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Q: Find the integral. Show work. Inx dx

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Q: Set up the integral to find the length of J (X) = e from x = You don't have to integrate it. 0 to x…

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Q: Evaluate the integration: r sin(20)drd0 Over the area in the first quadrant bounded between two…

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Q: Determine the exact value of the multiple integral -In 101 ex-y+z dx dy dz – In z JIn 99

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Q: @ Evaluate the integrals Jsx+y+2, dz dy dx-

A: Note:-   as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Use Property 8 to estimate the value of the integral.

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Q: Use Simpson's Rule with n = 4 to estimate the following definite integral: %3D a +32 dx x + 2

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Q: Find the complete integral of 1 dz z dx 1 dz z dxz 1 dz =x1 X2 X3. Exe z

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Q: Use an appropriate change of variable to evaluate the double integral: cos dA, R where Ris in the…

A: Given integral is  ∫∫Rcos(y-xy+x)dAR is the region bounded by x+y=1 ,x+y=2 in the first quadrant.

Q: Evaluate the integral.

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Q: sketch, reverse and evaluate the integral dy dz 15

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Q: Evaluate the double integral: dy dr

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Q: Which of the following is incorrect about the properties of an integral? rx)dx = - L, f(x)dx Si…

A: As we know that from property of definite integration.

Q: 3) Show that the line integral is independent of path and then evaluate the inte S, sin y dx + (x…

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Q: Find the complete integral of 1 az z dx, 1 dz z dxz 1 dz =x1 x2 X3. z dxz

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Q: DEvaluate the double integral x cos y dA, where D is bounded by y = 0, y = x², and x 2. %3D

A: Integration of cos(x) = sin(x) Integration of sin(x) = -cos(x)

Q: Evaluate the iterated double integral: esec y+1 dy dx. VE sin y sec

A: To evaluate the iterated double integral :               ∫14∫sec-1xπ3  esecy+1sin ydydx

Q: Evaluate the integral using Integration by Parts. | 3y? sin 4y dy

A: Here we have to evaluate the given integral by using integration by parts.

Q: Evaluate the Integral by changung the order of Integration in an appropriáte way. 4 3 5 Cos (x?) dx…

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Q: The value of integral .dz is (z – 1)?

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Q: Evaluate the double integral where D is the triangle bounded by the x-axis, y-axis and the line y =…

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Q: 2 (F(x) + x³)dx = ? %3D -1

A: Given that the area under f(x) in [-1,2] is 10br2 So,

Q: Evaluate the integral. (x + 4y) dy

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Q: Evaluate triple integral , S S dz dy dx. 4-y -2 Jx2 Jo

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Q: 1. Estimate the integral using Trapezoidal approximation rule with n=4: 2 + t)dt

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Q: The improper integral fx dx is

A: An improper integral is the limit of a definite integral as an endpoint of the interval of…

Q: Evaluate the integrals below: etanx sec² x 3. a) V(1 – (elanx )2 :. dx, b) / cot5x. dy

A: We need to integrate of the following integrals.

Q: Evaluate the iterated integral. rIn(x) xe-Y dy dx dz 4z 434 3

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Q: Evaluate the integral using tabular integration by parts. (2 x² – x +3) e +C -

A: We can evaluate the given integral by the tabular integration by parts method.

Q: DSX 2 X sec /x dx 3

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Q: 1 Oblicz d.x, Vax ах — х2 – x²

A: In this question, we have to evaluate the improper integral. Here we also use the property of Beta…

Q: Compute the defined integral So [1+ e* sin(4x)] dx using the trapezoidal method with two segments.…

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Q: what is the integral of z 3^z dz

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Q: Evaluate the iterated integral. 3 (2z fIn(x) '3 xe-Y dy dx dz Jo

A: ∫13∫02z∫0ln(x)x e-y dy dx dz

Q: Which one of the iterated integrals below are equivalent to dy dz? (There is a penalty for incorrect…

A: Given: ∫-11dy∫y21dx∫01-xdz To Find: The correct iterated integral for the above given integral.

Q: Evaluate the iterated integral. 9. .5 dy dx dz Jo

A: We need to evaluate integral.

Q: Evaluate the line integral along the path C given by x = 2t, y = 4t, where 0 <ts 1. Lv - x) dx +…

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Q: Evaluate the triple iterated integral. xyz dx dy dz

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