Evaluate Theintegrals O Ssed3xtan3x dx. 2) Ssin Cinx7dx.

Q: 3x+4 > [1] S dx x² +3x+2

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Q: 20. Use u substitution to evaluate. S secrtant 1+secx dx

A: Evaluation of the indefinite integral by substitution method

Q: ase implicít diferen tia ton to fin cly I d X

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Q: 1. Evaluate (i) dy dx, 3

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Q: WATE [z cot FI dz

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Q: sketch > reverse , the then evaluate inlegration 2X (4 x+ 2) dydx X 2

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Q: dy Find and simplify the resuit whenever possible.

A: Given that, y=sinx+4cosx-4

Q: Find the first and second deriva tives sp dt

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Q: Use the indicated substitution to evaluate the integral. 42csc (7x)cot (7x)dx, u=7x 42csc (7x)cot…

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Q: Evaluate the integral. 3 9earctan(y) dy 3 1+ y? 3

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Q: Let y = cosh(lnx²) then find y'.

A: Given, y = cos h (ln x2), we need to find y', differentiating the function y with respect to x.…

Q: use the definition prove that dsinz =

A: Question is solved.

Q: Evaluate. (Be sure to check by differentiating!) 6. dx, x4 5. 一 6+5x

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Q: Evaluate the integral. | 7x secx°dx

A: Given, ∫7xsecx2 dx  We have to evaluate the integral

Q: Evaluate using the tabular method s 5x*ex dx

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Q: Evaluate. (Be sure to check by differentiating!) | 16. dx

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Q: Let y = tan dy Then

A: Given data is : y=tan-14x2-1 To find the value of dydx

Q: s (oint 4x Casq 4x) dx

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Q: Find dy/dr. y = In(re")

A: Given To find Derivative of y= ln(xex)

Q: 4 – 2x dx. x3 + 2x2

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Q: dy to de

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Q: Ex: well defined?

A: Yes. It's well defined norm function.

Q: where y = sino x+ecos(21

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Q: At what wräluer of * id fG)= メ-メ-2 ズ- 4 discontinuous?

A: The function will be discontinuous if the denominator is 0.…

Q: 2. Sin odo Fla

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Q: rtain spring 12 in., how far will the

A: Given that the stretch in spring is directly proportional to weight placed at the end. let  w =…

Q: Use an appropriate substitution to integrate Jaco 24xcos (x²-2) dx

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Q: O Evalu ake I dx

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Q: o evaluate (In x)² +3 dx,

A: answer is in next step  option C is correct

Q: Integrate da + C

A: Integrate by using formula.

Q: - х e con 2x dx

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Q: Lex+3y dxdy

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Q: Evaluate the integral. (2x + 8)dx 3. Ja. (2x + 8)dx = %3D

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Q: I'sin(y") dy dr

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Q: Sind d Cor Tue fundion y. Sin (Incax)olncsin' cas)

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Q: Use the indicated substitution to evaluate the integral. Jese 63csc (7x)cot (7x)dx, u=7x 63csc…

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Q: O cot t

A: Given Cot π We have to find the value

Q: If Mesin(2x) dx= eSin(2x) + C_then the M is equal to Blank 1 (use small letter, no spa

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Q: Find dy by implicit diffentiation: %3D

A: Given,           xy=1+x2y

Q: ntegral. dx 22 O 11

A: Topic:- integration

Q: %3D 23DQ

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Q: tan v sec? v dv? |

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Q: Ô dlen proplical auolyir to alve Use Max

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Q: (2) Scass sydj 3) $ ( x 2 = 10) 2 3 2 १) (क olx dx

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Q: Fined the intercal of Prone that your ausmer Ys corvect Ž (5-2x)" nllncn) tz) connergance n-7

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Q: ~tu{S} o 1 In(y) dy de

A: We have to find the double integral

Q: dx J Tx2 – 25

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: