Evaluate O - f 1 1+¹/3+C 0 3 O dx 1+x¹/3 2²/3 In 1+¹/3+C 0 3 - 3x¹/3+3 In 1+¹/3+C 222/3 ○ In 1+¹/³+C 10 1/1 + 2² ²/³ | + C²

Q: 1) Use the Substitution Method to find f 12x (3x² + 4) dx . O 20(3x^2+4)^10 +C O 0.2(3x^2+4)^10 +C…

A: The given integral is 12x(3x2+4)9.

Q: 2 lnx dx 1 x2

A:

Q: 04 * O O Evaluate -1+2x-2x^2 -1+2x+2x^2 -1-2x-2x^2 -1-2x+2x^2 d dx 1-x fe 1² dt).

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Q: Differentiate and simplify: y= (3 – 4x)²* O a.y' = - 2(3 – 4x)²*-4x + (3 – 4x)In(3 – 4x)] Ob.y'= 2(3…

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Q: 5.[(2√x -3x)² dx

A: Given, ∫2x-3x2 dx

Q: dy If y = (5x + 1)(2x +In x), then will be %3D dx (5x + 1) +) + 5(2x+ In x) A. -1 B. (5x+ 1) - 2. +…

A: The given problem is to find the derivative of given function y=(5x+1)(2x-1+ln(x)) , we can use…

Q: fxe* dx= O a. -xet* 4x 4 16 O b. 4х 4х e 4 16 xet* e4x +c 4 4 d. 4x 4х 4 +c 16

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Q: 3 2.)f x³ (4 + x²)² dx ; Use rationalizing substitution

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Q: d2/dt2 (21t)

A: In general the second derivative is used to find the acceleration of an object . The second…

Q: If y 3 , then dx 5x2-3 10r2 3V/5x2-34 35x2- 3) 5x2-3 10x 3 3(5x2-3)2 10r 3 35x2-3)

A: Find the derivative of the given function.

Q: xx X1+iy,=X2+iy20 2 X =X y= OךX

A: In the given question we have to choose the correct option from the given options  Concept: two…

Q: FindS( 3x- 2x3 + 4x2 – 5x + 2) dx | |

A: We have to solve above question  And find integral

Q: (√3-3)/6 - (√3+3) /6 12 dx 2 1+ (2x + 1)²

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Q: Vx+I dx. Vx +1

A:

Q: (12x-4)dx (3x+1)³(2x-2) 3

A: We have to find out the integration.

Q: 2x3+x-1 4. S x3+x2-4x-4

A: Given: ∫2x3+x-1x3+x2-4x-4dx Suppose I=∫2x3+x-1x3+x2-4x-4dx

Q: Evaluate: L-¹{- (A) B Ⓒe²t (cosh7t + (D) (s+ 2)²-49 e-2tcosh7t 4 e-2t(cosh7t – sinh 7t) 4 sinh 7t)…

A: The objective is to evaluate L-1s-2(s+2)2-49 Inverse Laplace transform using table values:…

Q: 0000 2x/48x5y+ x³ /27xy- x²/75x³y (3v6-2)°

A: x1000y29z=x5002y28yz=x5002y142yz=x500y14yz2)2x48x5y+x327xy-x275x3y=2x2*2*2*2*3*x22xy+x33*3*3*xy-x25*…

Q: Evaluate dx x3 – 2x2 + x

A:

Q: 81 +x + 41 -x Evaluate

A: Introduction :--

Q: (1 1x +15x* – 17x³ – 6x² + 7x – 4)dx -3

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Q: b) L,(3x² – 2x + 1) dx

A: on solving this we get the value

Q: dx J x²–18x+97 O fIn (x² – 18x + 97) + C In (x² – 18x + 97) + C 0sin-l (부) + C х-9 O tan-' () + C…

A:

Q: 4x2 + 26х + 5 dx 2x2 + 9х + 4

A:

Q: (2x³+x-1)dx 1. S x3+x²-4x-4

A:

Q: 2x + 3 -dx. x2 + 3x + 4

A: To evaluate the integral: ∫2x+3x2+3x+4dx Evaluating the integral. Let substitute t=x2+3x+4…

Q: 1 ۔ x3 +8 X + 2 t3 dx

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Q: (5) Evaluate 75 2x -dx. 5x8

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Q: 7x+3x+1 10. 12. f-4) de dx 11.

A: Note to student : Hello student! Thanks for posting your queries. But there are multiple questions.…

Q: x +4 x²+2x+5 1₁ da

A: