Evaluate | S 3x+5a dx x+3a

Q: Find a and b in Va+4x-5 dx = x+2

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Q: Evaluate f 2x³ +9x (x²+3)(x²-2x+3) dx

A: Evaluate ∫2x3+9xx2+3x2-2x+3dx=?

Q: 4 Evaluate f². dx 4-x*

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Q: 9. Evaluate -2x +9x-1 dx (x² – 2x +1)(x +2) -

A: Solve the problem using partial fractions

Q: -3 2. S x*Vx Vx²-9

A: Integration is the process of finding the anti-derivative function of the given function. The…

Q: 6dx S: ³√x² x-

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Q: S (2x² + 1) dx x3 - 3x +2

A: ∫2x2+1x3-3x+2dx This can be written as  ∫2(x2-1)x3-3x+2+3x3-3x+2dx=2∫(x2-1)x3-3x+2dx+3∫1x3-3x+2dx

Q: 5.f (x) %3D In(4x3 — х2 — 2х + 5)

A: Given the function,  f(x)=ln4x3-x2-2x+5 Differentiating the function with respect to x,…

Q: (x²-2x+11)dx (x²+3x-4) .2. r2.

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Q: S2x3-4 x²-x-3 dx х2-2х-3

A: See the details solution in below

Q: S(x*-3x3 +- -2)dx = x(8x*-30x3+5x-80) + C 1 %3D 40

A: Consider the right hand side of the given equation. The integration formula is  ∫xn=xn+1n+1+c

Q: Find dy 3 2. -3x

A: Given that, f(x)=x3-3x We have to find derivative of the given function.

Q: 25+1 c) r³-3x²-10x dx

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Q: Evaluate f(2x² + 3x + 1)5 (8x + 6) dx

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Q: -2 1 Evaluate dx. 4x2 + 4x + 5

A: This question is related to definate integral. Solve in step 2.

Q: Evaluate: 3 f(-x² + 4x-1)dx 1

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Q: 2 d 3)[(3x2 – 4x +7)(5x³ – 9x)®] dx - -

A: Here we apply u.v rule of multiplication in derivative

Q: 6. (x²y* + 2xy)dx + (2x³y³ – x²)dy = 0

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Q: Evaluate. x2 - 9 10) dx X - 3 2

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Q: 52. f(æ) = (-1)**(x – 2)". %3D n=1

A: Radius of convergence problem....

Q: 2.2 Find 4.9x |- 2 ++ xp VX _口 d ( 2.2 - 2 4.9x dx x

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Q: #1) Find for 7x³y5 = -8 dx

A: Let's find.

Q: | In (x²- 2x-8) dx 5. ら

A: Explanation of the answer is as follows

Q: x=-2 2. x+3y=D4

A: hello greetings from bartelby.i am here to help you

Q: x2 dx is (ax2+4)(x2+9)

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Q: Evaluate f 3x²e3" dx Select one: ㅇ (9z2 - 6z + 2)등 + C O (9x² + 6x + 2) + C e3x + C 9. O e3* + Ç

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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: 5) Evaluate x² +1 4x³ + 12x dx

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Q: 4 5x2 Evaluate dx. TV3x2-1

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Q: 15. Find x² (2x³ + 4)5 dx

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Q: - Evaluate f 2*+1-5x-1 dx 10*

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Q: S 3+4x+3 dx x4-5x2+4 5.

A: Here, x3+4x+3x4-5x2+4=x3+4x+3(x2-1)(x2-4)⇒x3+4x+3x4-5x2+4=x3+4x+3(x-1)(x+1)(x-2)(x+2)

Q: x3 2. J Sadx 2. 3.

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Q: A 2 In Ix-11+C B 2 In 1x-11-2+C S dx 2x (x-1)² C¹In Ix-11+C с D 2 In 1x-11+2+C

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Q: 6. (3zy-- 2ay") dx + (x2 - 2axy) dy = 0.

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Q: 2. Evaluate x² dx (x-1)(x² + 4x + 5)

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Q: a) Evaluate -5 S₁v 1 √√4 − (x − 3)² dx -

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Q: 2. f (x²-16) ²/2 dx x3

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Q: A - 3 In 1x³ 3x²1+C BIn 1x³ 3x²1+ C x²–2x x3 3x² C dx In 1x³ 3x²1+C In 1x³ 3x²1+ C -

A: The given integral,    ∫x2-2xx3-3x2dx

Q: 32. f(x) = 2 In(x² – 3x + 4) %3D

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Q: 2. (a) Evaluate [ x*V1+4x° dx.

A: We are given : ∫01x21+4x2 dxLet I=∫01x21+4x2 dx Let x=12tan t⇒dx=sec2t2dtNow, when x=0 , t=0when…

Q: Find for 7x3 + 4y = 3y² dx

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Q: Evaluate I=( (6-x-x²) dx -3

A: Consider the integral: I=∫-326-x-x2dx

Q: Evaluate [f'(3 - 2x)- 4] dx. -1

A: Let I=∫-10f'3-2x-4dx. Use the difference rule of integration two separate the integral I into two…

Q: 3x +1 at x = 1

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Q: Show that 5x – 2 3 + C X - 1 dx = 5 In |x - 1| x2 – 2x + 1

A: We have to solve

Q: 2 1. Evaluate : (4x3 +)dx x+1

A: We have ∫044x3+2x+1dx

Q: x-6x-4 dx x+2

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Q: 2. Evaluate 4 dx . 2 x²- 36 -00

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Q: 2. So (x²+4)² 5. x'dx

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