sketch region 4 reverse Integration then evalute (4 x +2) dy dX x 2

Q: Evaluate the double integral : (y – 10x) dx | dy

A: we will integrate first inside the bracket with respect to x taking y as constant and then we will…

Q: 14. Use integration by parts to evaluate each integra 2. 2X e dx 2 In x dx b.

A: Given

Q: Evaluate using integration by parts o a) (In 3x dx

A: As per the rules of the company we can only the first question and rest others can be reposted.

Q: Eualuate Integral S3x+2 VT-25x?

A:

Q: 6. Evaluate: dædy Hint: Use dydx as order of integration.

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Q: evaluate using Integration by Parts.

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Q: 0. Inx dx -2

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Q: Sketch the region of integration. 1. dx dy 1 +>

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Q: sketch the described regions of integration. 0 ≤ x ≤ 1, ex ≤ y ≤ e

A: Given, 0 ≤ x ≤ 1 and  ex ≤ y ≤ e

Q: Sev dx (Hint: Integrate by parts with u-substitution)

A: To evaluate I=∫exdx

Q: 6) dx X 3 Type 2 mproper integral 1-

A: We use Type II improper integral  Here at x=0 f(x) is discontinuous so we break the limit at x=0 If…

Q: Sketch the region of integration and evaluate by changing the order of (2-2x integration S“(1+y²) dy…

A:

Q: dv Integrate ду 1 partially with respect to y. II

A: To partially integrate the given function with respect to y, implies x will be treated as a constant

Q: 2 x²log₂ (x) dx S

A: Please show complete solution. (Use integration by parts)

Q: 1. Integrate using Integration by Parts: I sec? x dx

A:

Q: Find the Integration of 1 dx. (6x+7)6

A: To find: The integral of ∫dx6x+76. Formula used: Integration formula: Power rule of integration:…

Q: dy dx

A:

Q: Evaluate the double integral : (y° – 10x) dx| dy

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Q: 2. Integrate: Integration by Parts cos?x dx

A: Given : Integral cos2(x) dx

Q: 3. (x²+x+4) dx

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Q: dx ¤(x+2)²

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Q: Evaluate double integral.

A: Let the given equation is ₀∫⁴₀∫⁴x  (√(xy)) /2  dxdy The double integral formula is a ∫b c∫d f(x,y)…

Q: Sketch the region of integration. "In 10 r10 1 dy dx In y

A: As y varies from y = ex to y = 10 , we see that x varies from x = 0 to x = ln 10

Q: Va2 – 4 dx

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Q: Sketch the region of integration. Then evaluate the iterated integral sin(x²) dx dy.

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Q: Sketch the region of integration. (Select the correct graph.) dy dx y y 2 2)

A: The given integral is: ∫02∫x2e-y2 dy dx

Q: Evaluate using integration by parts. 1)x2 In 6x dx

A: We are asked  to evaluate the integral

Q: Evaluate 9 + y² dy dx by first interchanging the order of integration. Sketch the region of…

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Q: he integra = 3/2 is dz Z-2

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Q: 3. ƒ (1−2x)² dx S x

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Q: 2: Change the order of integration. •ln 4 f(u, у)dydx.

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Q: Evaluate the integral ∫(5x -1)2 dx by two methods: first square and integrate, then let u = 5x - 1.

A: To evaluate the integral ∫5x-12dx

Q: sketch the described regions of integration. 1 ≤x ≤ e2, 0≤ y ≤ ln x

A: Given  1 ≤x ≤e2 , 0≤ y ≤ ln x

Q: dx y.= dy y arctan (-x 2a

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Q: 5) Sketch the region of integration and evaluate the integral x²y' dx dy

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Q: b) y = [ dx Integrate. 13 +5

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Q: d) Evaluate using integration by parts: [(x+2)ln x dx

A: Integration by parts rule:

Q: sketch the region of integration and evaluate the integral.

A: Given, ∫0π∫0sinxydydxwe have to evaluate the integral and sketch the region of integration.

Q: 3 +h (2x) dx By specifying the type of integr rol, examine it by its convegene explaining

A: We are given an improper integral of the first kind by the following.…

Q: Sketch the region of integration. (Select the correct graph.) dy dx y y 1 1

A: Order of change of integrals

Q: Evaluate double integral ∫20∫1y/2cos(x2)dx dy

A: According to the given information it is required to evaluate the integral

Q: +5y )dx+(2x-4y) dy edary of the region lying between

A:

Q: what is the simplification of this integration? ∫dx/(2sinx+3cosx-5)

A: Use sin(x) = 2 tan(x/2) / (1 + tan2(x/2)) cos(x) = (1 - tan2(x/2)) / (1 + tan2(x/2))

Q: Evaluate. (use C for aonstant of intgration) dx 2 X "- 3

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Q: sketch the described regions of integration. -1 ≤ x ≤2, x - 1≤ y ≤ x2

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Q: dx 17.S (4x²-9)3/2

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Q: 1 dx is an improper integra 2 3x

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Q: In 3 | (1-x)e"dx ах In

A: Consider the given integral

Q: QUESTION 3 Use integration by parts to evaluate the integral. 12x In (2x)dx

A: value=?

Q: 2. fx Arctan xdx

A: