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Q: Evaluate the following integrals using FTOC. 1 dx 4. |x| dx 2.

A: This question is related to integration. We will solve this question by using properties of…

Q: Evaluate the following integrals.

A:

Q: Use the properties to evaluate the integrals. 1. S; (1 + ) dx

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Q: Evaluate the following Integrals. dx V1 – 4.x2 4. -

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Q: Evaluate the following integrals: a. | Vē sin(2t3/2) dt

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Q: Evaluate the following integrals dx V9 - x?

A: Given that, ∫x29 - x2 dx           ...(1) We can do this with trigonometric substitution. Consider,…

Q: 6.) | dx 4 – x²

A: Let the given integral is ∫x34-x2dx

Q: Evaluate the following Integrals dx しな25)メ

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Q: Evaluate the following integrals with solution

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Q: X-1

A: Evaluate: ∫x4x-1dx

Q: Evaluate the following indefinite integrals S xe3x² dx and S (x + 4)lnx dx.

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Q: Evaluate the following integrals: dx

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Q: Evaluate the following integrals.

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Q: 4x Use the appropriate substitution to evaluate the following integrals: dz =.

A: To find:∫4xx2-1dx

Q: Evaluate the following integrals. Sen³(/x) dx x,

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Q: 5х — 2 dx x² +1 - 10.)

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Q: LEvaluate the following integrals. +vã )²dx 1.

A: 1. To evaluate the integral: ∫2+x2dxx Solution: Let substitute t=2+x. Differentiating with respect…

Q: Evaluate the following integrals.

A: Given: I=∫x10xdx for evaluating given integral, we will use integral by parts theorem according to…

Q: Evaluate the following integrals: Inx.dx

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Q: Evaluate the following integrals.

A: Given that : The integral is ∫68e2x + 2ex + 17 dx .

Q: Evaluate the following integrals: Væ(x + 1) dx =

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Q: Evaluate the following integrals.

A: We have∫x21−9x2dx

Q: V A

A: ∫x1+x2dx=∫2u4+u2du=2·∫u4+u2du=2·∫2v24+v4dv=2· 2·∫v24+v4dv=2· 2·∫ -v4v2+2v+2+v4v2-2v+2dv=2·…

Q: 5.) / a In a dx

A: Given, ∫x3lnxdx  Using Integration By Parts, ∫u dv=uv-∫v du Here u=ln(x), dv=x3…

Q: Evaluate the following integrals.

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Q: Evaluate the following integrals: (3" – e") dx = -

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Q: Either evaluate the following improper integrals or show that it diverges. +oo 1 (i) - dx +oo (ii) 2…

A: We have to evaluate the given integrals.

Q: evaluate the following integrals

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Q: 2 S²₁ (x² x) dx ,

A: To find out the integration.

Q: 1 da x + Va

A: Consider the integral: ∫1x+xdxApply u-substitution:u=x∫1x+xdx=∫2u+1du Take the constant out:…

Q: Evaluate the following integrals. Reasonable work is expected! 1.) 4x²e" dx

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Q: Evaluate the following integral: in4 sinh x dx

A: Use another form of sinhx

Q: 4) |x² . In x dx

A: Given : to evaluate the integrals∫x2 ln x dxformula: integration by parts∫u dv=uv-∫v du

Q: 4 x*dx X-1

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

Q: x(2x² + 1)°dx

A:

Q: Evaluate the following integrals. Show all the necessary solutions. ² dx 1.

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Q: x/r+ 1dx

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Q: Evaluate the following integrals.

A: We have I=∫123y8ey3 dy   Substitute u=ey3 Taking log on both side  ln u=y31udu=3y2 dy13udu=y2 dy…

Q: 1. sin Va +1 dx

A: The integral function is ∫sin3x+1dx

Q: 3.) sec' 0 do

A: The given integral is ∫sec4θdθ   identity used: 1+tan2θ=sec2θ

Q: Evaluate the following integrals by parts 5) f x1 x ln x dx

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Q: / FVA 12.) dx x²/25 – a²

A: Given integral is ∫1x225-x2dx Substitute x=5costdx=-5sintdt

Q: 1 1 x=6 x - 2 dx +oo

A:

Q: sech x3 tanh x3 iii. S- dx

A:

Q: 2. dx

A: Given: ∫ x3ex4-3dx

Q: Evaluate the following integrals (x' Inx dx

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Q: 6х — 9 4.) dx а2 — Зх + 2

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Q: S 3x+1 - dx x²-x-6

A: Given integral is  I=∫3x+1x2-x-6dx

Q: Evaluate the following integrals.

A: Given, ∫x3-1x2dx To solve the above integral.