П. INTERACTON: A. Learning Activities : Let's Have some FUN!!! Directions: Evaluate the following: 1. SVx? dx 2. dx 3. S-4 -4x*+x3 dx

Q: agrange's mea 2x in 0,

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Q: Sx(2x – 3)®dx

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Q: 3.) Integrate using an appropriate technique: 24100 dx (show all steps) 4x2 + 24x+100

A: We have to evaluate

Q: Qg show that: coths =} hm X+1/, X-1

A: Formula: The relation between hyperbolic function cothx and exponential function is given by, cothx…

Q: 2. determine ∫12/5-2x dx by using substitution technique.

A: ∫125-2xdx  This is the integral given to us.we need to perform valid substitutions to evaluate the…

Q: SPA 32 Select one: True ● False dx dy = 13 2

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Q: 3 Evaluate: (-x² + 4x – 1)dx 1

A: Solution:To find the definite integral:Formula:∫xndx=xn+1n+1+C

Q: 25-x2 In dx , if we letu=V25-x² , then udu= – xdx.

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Q: Evaluate -dx using the appropriate steps and showing all appropriate work. 1+e

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Q: caleulate the

A: Given that: ∫dx15-4x-4x2

Q: Compute the exact value. 2 dx 2.

A: Simplify the given integral using limits.

Q: 14.Use a substitution to evaluate / aVx+1 dx rVa+1 dx. Show all details of the process.

A: To solve- given integral by substitution  method.

Q: What is ſ e2x dx? 1+ex

A: Given :                      ∫e2x1+ex dx     Substitute u = ex+1  ,  dudx = ex…

Q: x³ cos x dx

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Q: Select the correct answer. What is the value obtained by using left endpoints with n= 4 subintervals…

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Q: 11. Evaluate dx if possible. If not possible, explain why. Vx? – 9

A: The objective is to evaluate the integration.

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

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Q: I need parts with f-h

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Q: by separation method 3y Solue l dx²

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Q: Evaluate: ³4₁ [2³(x + y)³] dz dy dx

A: To evaluate the given integral.∫-43∫-12∫01z3x+y3 dz dy dx

Q: ·S √ 6. dx x² - 4x + 13

A: ∫1u2+1du = lnu+u2+1+C

Q: 1 dx V25-x²

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Q: dx x √16-x² dx

A: To find out the integration.

Q: 4 – 2x dx. x3 + 2x2

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Q: Using suitable method, show that 2 tan" (x+2) dx =- – In 2 .

A: We use integration by parts to find integral tan inverse x.

Q: This question has several parts that must be completed sequentially. If you skip a part of the…

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Q: = 1 at the poin

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Q: Evaluate: 2) x-In x dx

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Q: Integrate x sqrt of (x+4) dx using algebraic substitution

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Q: Use Simpson's rule to evaluate 1 -dx, by dividing the interval into 4 equal (5x-2) parts. Find the…

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Q: 4х-6 -dx х2-8х+20

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Q: Evaluate 0, dx by dividing the interval into 10 equal parts 8х-5 by using Simpson's one - third…

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Q: Use the Product Rule to calculate e2*. dx

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Q: 3. 43. dx 2 - x (1,0)

A: 43) We have to solve the following differential equation at the point (1,0). dydx = 32-x

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: Evaluate. (Be sure to check by differentiating!) dx 5-6x

A: We have the formulas,                  ∫1xdx=lnx+c   c= constant of integration…

Q: valuate. (Be sure to check by differentiating!) 1 dx, x - 3+7x 3/7

A: Evaluate the given integral and check it by differentiation. ∫13+7xdx, x≠-37

Q: Integrate | VE 1-4x² dx using a trigonometric substitution.

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Q: dx Evaluate

A: ∫0919+x2dx

Q: dx Vsinxcos3x

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Q: What is the image of -1,9 after a dilation by a scale factor of 2 centered at the origin?

A: Given problem:- What is the image of -1,9 after a dilation by a scale factor of 2 centered at the…

Q: Evaluate. (Be sure to check by differentiatingl) 1 dx, x# - 3 9+ 3x

A: To evaluate: I=∫19+3xdx Use the rule: ∫1xdx=ln |x|+C

Q: Assignmant Indegrat 32. 2. dx 3) d2

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Q: Evaluate the followina intearals. Show all the necessary or complete solutions. 1 3. - x² dx

A: Given :∫01x41-x2dx

Q: on to find at the point (-2, 3) dx² on

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Q: how to use the apr approximation formula

A: For finding approximatel formula

Q: Evaluate dx using appropriate substitution. Verify your answer by differentiating. an 1+ 2¤²

A: Given,           ∫x2x21+2x2dx

Q: Evaluate: fxea dx. Show all steps, and explain yourself.

A: Given: The integral ∫xe3xdx, To evaluate: The given indefinite integration.