- (Зх +1)dx УЗх - 2 3x

Q: Evaluate x³ sin(x²) dx.

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Q: 1 dx 1+Vx

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Q: dx x Vx²+2x-1

A: In calculus, an antiderivative, inverse derivative, primitive function, primitive integral or…

Q: 17. √ ² √x (x²-3) dx

A: To evaluate the following integral.17 ∫01xx2-3 dx18 ∫-π22π sin x dx

Q: A certain amount of gas exerts 2.5 atm in a 2.0-liter container. The gas is transferred to a new…

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Q: (8x4 − 5x2 + 2)dx evaluate indefinite anti-differentiation

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Q: Integrate: oa dx. -00 8-x3

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Q: Integrate using the method of trigonometric substitution. Express your final answer in terms of the…

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Q: Original Integral Rewrite Integrate Simplify x dx dx + C

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Q: Solve ƒx² ln(x) dx using Integration by Parts. Use u = In(x) and v = x². Answer:

A: Given integral is  ∫x2ln(x) dx. we have to find the value of the integration using integral by parts…

Q: Integrate using the method of trigonometric substitution. Express your final answer in terms of the…

A: The given integral,∫x2x2+16dx

Q: Integrate using substitution. Clearly state your substitution. 2 /          x^2 sqrt(1+x^3) dx -1

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Q: How to identify if the problem is integration resulting to inverse trigo. or trigo. substitution.…

A: To give an example of the integration where trigonometric substitution is possible.

Q: 1. (2xy + x²)dy + (2xy + y²) dx = 0 2. (3x² + 2xy) dx + (x²) dy = 0 A 000 1000

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Q: Original Integral Rewrite Integrate Simplify dx 9. X + C dx

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Q: method of integration would you use to evaluate the 3x +4x +x

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Q: Also

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Q: S 2z5V2 + 9z2 dz

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Q: 1.ху dx — (х2 + у?) dy

A: Here, the given equation is: xy dx-(x2+y2)dy=0⇒dydx=xyx2+y2⇒dydx=xyx2x2+y2x2⇒dydx=yx1+yx2...(1)

Q: cos³5xsin17xdx

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Q: double integral.

A: We have to solve the given integral ∫∫Rx cosy dA where R is the triangular region.

Q: INTEGRATION OF STANDARD FORMULAS.

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

Q: 1. 8te" dt 2. 4x cos(2 – 3x) dx 3. | (2 + 5z) ei* dz 9,

A: As per the bartleby guideline if more than one question is asked only first question to be solved,…

Q: Using Integration by Parts, the integral [(x³ + (x8+2x²) In x dx

A: SOLUTION-

Q: =). / 3re*dx d.r

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Q: Using integration by parts find ſx²e¯*dx

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Q: Evaluate Sx (x² – 1)1°dx

A: #3 Given,       ∫x3(x2-1)10dx

Q: Using differentials, estimate the possible error in the volume of a sphere if the radius is measured…

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Q: Solve using differentials:  A spherical balloon has a radius of 2 which changes to 2.1 when the…

A: A spherical balloon has a radius of 2 i.e r=2 which changes to 2.1 when the temperature rises i.e…

Q: 2)8 Sx' 1- x dx

A: Indefinite integration

Q: Water flows from a storage tank at a rate of 300 – 7t liters per minute. Find the amount of water…

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Q: よx 2A +5

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Q: Solve the integral equation y =2+

A: Here we use Leibniz Rule .

Q: Integration by Trigonometric subshtuhon 10] 5x²Arcsin (x)dx

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Q: -2x sin 2x dx

A: The given integral is ∫e-2xsin 2x dx. Consider I=∫e-2xsin 2x dx. The formula for integration by…

Q: ential equation (41 2) = %3D

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Q: | cos³5xsin17xdx

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Q: INTEGRATION OF STANDARD FORMULAS. Note: Please don't use NEED ALSO SOLUTION PER ITEM OR NUMBER. 2.…

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Q: integral. Give your answers as fractions 3 (i) dx V1- x2

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Q: dx хV х2+2х-1

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Q: Using Integration By Parts, x3 x2 +4 dx = uv- - Sv du

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Q: 9-4x² dx (Use Trigonometric Substitution) x2

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Q: */3 csc³ rdx 7/6

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Q: x3 dx x6+15x++75x²+125

A: Here we substitute x2 = t to solve this integration.

Q: Integrate using the method of trigonometric substitution. Express your final answer in terms of the…

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Q: Integrate using substitution. Clearly state your substitution. dx/ sqrt(5-x^2-4x)

A: Given ∫dx5-x2-4xLet I = ∫dx5-x2-4xI = ∫dx-(-5+x2+4x)I = ∫dx-(x2+4x-5)I = ∫dx-(x2+4x+4-4-5)…

Q: Please perform the integration with a complete solution

A: Given,

Q: nstant of integration.) ex² + 7x - 4 dx x - 5

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