Evaluate ſ xe3x dx A. (1/9)(3e³x – e³) + C B. (1/9)(3e³x + e3x) +C c. (1/9)(3xe3x – e3x) + C D. (1/9)(3xe³x + e3x) + C A В C

Q: Evaluate: S (= + e-5" )dx 1 5x 5 e-5x + C 4 4x 5 5e-42 5x 4 + C 4 5 5x 5 + C - - 4 5

A: The integration formula for ∫xndx=xn+1n+1+C.

Q: State the equivalents to (1/x+3) - (2/5x+1)

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Q: 2(7-3x) =1/4

A: The equation is, 27-3x=14 Solve for x as, 27-3x=12227-3x=2-27-3x=-23x=7+23x=9x=93x=3

Q: S(3x+1) (3x²+2x+1)³dx

A: I=∫(3x+1)(3x2+2x+1)3dxSubstitute 3x2+2x+1=u

Q: (3x-1)2/x+1

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Q: A rectangular park has an area of 40m^{2} . If the length of the park is two meters less than three…

A:

Q: 8 dx 9x2 + 10x + 1

A: Given information: use partial fractions to evaluate ∫0789x2+10x+1dx Apply partial fractions to…

Q: ∫x2(x3-1)11dx

A: Given, ∫x2(x3-1)11dx We can solve it by substitution method

Q: Find two First terms whose product is 3x. 3x? – 13xy + 4y² = (3x ?y)(x ?y)

A: Given that, 3x2-13xy+4y2=3x    ?yx   ?y

Q: Evaluate X dp- (х -1)(2х -1)

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Q: x² + 4x - 4

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Q: dx Vx² +9x² (In x³ )° 2

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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: -8y-9(2y²)°(4y¬8)-2

A:

Q: Evaluate S (2x+3) dx x² (x²+1)

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Q: 2 3 Sźcsc(ln[5x²])cot(In[5x²])/csc(In[5x²]) + 5dx

A: To evaluate the following integral. ∫27x cscln5x2 cotln5x2 cscln5x2+53 dx

Q: 5x5 – 6xª + 2x³ – 29x² – 12x + 20 dx - - x²(x2 – 1)(x² + 4)

A:

Q: 1. xd(1-x)³x² ] -2-

A: Given ∫01x2(1-x)3dx

Q: 1 x² + 10x + 41

A:

Q: Find the following

A: ∫(8x3+10x2-7x+5) dx

Q: d. [(2x +1) (5a - 4)) dx 10x - 3 O 20x - 4 O 10x - 4 20x-3-

A:

Q: -dx 2x3/2 — Зх2

A: Given : ∫x2x32-3x2dx ∫x2x32-3x2dx = -∫x3x2-2x32dx Now, let us solve ∫x3x2-2x32dx Let us take  u=x⇒…

Q: 2x 入t]

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Q: dx x²V(x² -4) Select one: a, 4x b. Vx? - 4) + C C. -Vx? -4) + C 2x d. Vx² - 4) 21 wwm + C 2x

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Q: 480 62 (2x)/ 14 (3y) 26 a = 16

A: From the image : 3y=48°22x°=360°-220°a=14And,2b=16.

Q: The expression &x y3+.12y is e is equivalent to (2xy

A: The given expression is 8x6-y3+6x2y2-12x4yTo write its equivalent expression

Q: Evaluate ((x-2)/x dx : 4 O 6 .6 テメ 11 3 11 * + C 11 6 4 + C 11 * テ x² +C /6

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Q: dx (4x?- 9) 3½

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Q: sinh e Incot3x h- dx St 1+9x²

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Q: d (cosh x) dx Vx2

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Q: ax +-b dx ax² +bx +d

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Q: 2. X y y A x+ abcxy +y2 abx2+ xy+ bcy² (c) © x2+bxy+y2 D ax2+ bxy + cy2 5/7

A:

Q: S (−6x³ + 9x² + 4x − 3) dx

A: To evaluate the following integral.