3 3 + x dx

Q: f(3x + 2)² dx

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Q: dx 3/2 3

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Q: х—12 dx 3 (x-5)°

A: The given integration is ∫x-12(x-5)3dx We have to evaluate the value of the given integration.

Q: '3 /x² + 4 dx ,2

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Q: 3 x° + Find + 3 . x6 x)dx - + C

A: Let's find integration of given function.

Q: 4x dx (x2 + 1)(3х — 2)

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Q: 5x²+3 dx x (x²+2)

A: Given: Let us consider the given,∫5x2+3xx2+2dx

Q: 2 X 1 dx -2 4

A: Let's see a formula of integration. ∫a2-x2 dx = x2a2-x2 + a22sin-1xa + C We use this formula to…

Q: Зx3 — 4х2 + 3х dx х2 + 1

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Q: х2 — Зх — 7 dx (x2 + х + 2)(2х— 1)

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Q: 6. dx (x2 + 2x + 2)²

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Q: 3 (5æ° + 2x") dx - 4 Find

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Q: 3 2. x1 + x² dx

A: Definate integration

Q: 了 2x - 7 dx x* +9 5.

A: the given integral is: ∫2x-7x2+9dx we have to evaluate the given integral.

Q: 3√3 dx X²³√x² +9

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Q: 6x + 7 -dx. (x +2)2

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Q: ニ 2 2. dx | -r

A: The given integral  y=2∫-rrr2-x2dx  Can be solved using integration formulas given below…

Q: Зx3—4х2+3х dx х2+1

A: Integration is a process of finding antiderivative of a function. There are basically two types…

Q: ∫(x2−9)3(2x)dx

A: Given, I = ∫(x2 − 9)3(2x)dx Since, (x2 − 9)3 = x6 − 27x4 + 243x2 − 729 ⇒ I = ∫(x6 − 27x4 + 243x2 −…

Q: dx и 3 2х + 2 (2x + 2)4

A: To evaluate this integral we use method of substitution.

Q: 8 dx, x2 – 9 - 9

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Q: 2 (3 — х2) dx

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Q: -5 3. Evaluate dx 4 х2-1

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Q: 5x dx (x² + 3)2/3

A: We will use a substitution to solve the equation.

Q: (x+2)² 14. dx X – 2 3

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Q: (x² + 4)³/2 -dx

A: Given integral is: I=∫x2+432xdx Integrating it: Put:u=x2+4dudx=xx2+4dx=x2+4xdu…

Q: Evaluate: /x² 2 - 4 dx

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Q: 7) (3x* – 5)° . 36.x dx

A: 7) the given integral is (3x4-5)536x3 3) the given integral is (x3-2)-43x2.

Q: x +1 「マ-x-6 dx. х2 — х —

A: The integral is ∫x+1x2-x-6dx.   Factorize the denominator. x2-x-6=x2-3x+2x-6=xx-3+2x-3=x-3x+2…

Q: 8 11xe-x dx

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Q: хе2х dx (2х + 1)2

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Q: 6х3 + х2— 5х —7 –dx. Use Зx2 —х — 2

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Q: | (4x - 1)2_x dx

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Q: 3. f(2x + 3)² dx

A: I have stated the used formulas in the solution

Q: 1 (-7)2 dx r(x-7)2 6.

A: Given,  ∫1xx-72dx

Q: x² 2 =dx 2 √4+x²

A: solution:-∫x24+x2dx=4∫x2441+x24dx=2∫x221+x22dxwe know thatcosh2t-sinh2t=1cosh2t=1+sinh2tusint…

Q: 10 (x – D)(x² + 9) * dx

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Q: [x' 9 -x dx

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Q: [ €³ºf¹ (x) dx = e²f(x) − [ eª f(x) - dx

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Q: 2 X+ 9x + 2 x3 +2x? -x - 2 dx

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Q: S1. 2 r/1+ 3x² dx

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Q: x5+x2-x+1 .3 * Find dx -3 x2+9

A: We will find the value of definite intrgral as following.

Q: 3. dx (x2+1)3

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Q: (2 + 3/x) dx = 20 %3D

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Q: x- 2 7) dx =

A: integration

Q: 3. 5 (xº - + 2ex) dx 2ех

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Q: (c) Evaluate -dx (x – 3)3

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Q: dx 3/2 (1+x²)*2

A: ∫1(1+x2)3/2dx Given that:      NOTE: As per our answering guidelines, we can only answer 1 question…