Use a computer algebra system to evaluate theintegral. Compare the answer with the result of using tables. Ifthe answers are not the same, show that they are equivalent. ∫Sec 4x dx

Q: 2x dx Using an appropriate substitution, evaluate:

A: It is a basic definite integration problem

Q: Evaluate and simplify its final answer. S 6x²sin x3 dx.

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Q: Given that 3 ex dx — ез . e, use this result to evaluate 5ex 6 dx.

A: Given that

Q: Evaluate. x? + x – 3 dæ Preview %3D

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

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Q: Evaluate fx sinx? dx. A. В D) Does not exist 비2

A: Given, I=∫-∞0xsin x2dx

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A: Consider the given integral  ∫0ax dx Now, draw the geometry for the integrand The shaded part is…

Q: (e2x-1)² dx e 2x

A: Use substitution method

Q: 1 dx 3vx

A:

Q: Determine whether the statement is true or false. If it is true, explainwhy. If it is false, explain…

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Q: Simplify the expression shown.

A: Given that: ddw∫0wlnx2+1   dx

Q: 3x dx 3,

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Q: 5dz 1. (:+4)VE+1

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Q: Evaluate x² + 2x – 1 dx

A: Please go through the attached solution. I hope that this solution will help you. Thankyou . Best…

Q: In5 (x + 1)²e* dx

A: Given, ∫0ln5x+12exdx  We have to evaluate the integral and simplify.

Q: 2 -J (x2/3 + 늪)dx

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Q: 2 x²√x²+9 dx

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Q: Evaluate dA where D=2ay|1exy?sd, Arctan

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Q: |In x – 4 In x – 5| dx. - Evaluate -3

A: Given:  Let I=∫e-31 ln2 x-4 ln x-5x dx To Find: To evaluate the given integral.

Q: Evaluate the following using trigonometric substitution: dx Vx2 + 2x – 15

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Q: Find dA, the change in surface area, of a cube if the sides of the cube change from x to x + dx. dA…

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Q: dx 4+e¬*

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: Can the Fundamental Theorem of Calculus be used to find 5xcosx?dx?

A: This question can be solved by applying the second part of fundamental theorem of calculus.

Q: 3 + In?x dx

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Q: Provide an appropriate response. Find: dx Soloct ono:

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Q: Use a computer algebra system to evaluate theintegral. Compare the answer with the result of using…

A: Find the value of the integral ∫11+x3dx. Evaluate the integral as follows. ∫11+x3dx=∫3u21+udu…

Q: evaluate ∫ (top of ∫ is 16, bottom is 9) (-x^(-1/2)+5) dx.

A: We need to evaluate ∫916(-x-12+5)dx

Q: 2e* 1+e-2x dx =

A: we have to find integration

Q: Vx2 – 4 dx

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Q: dx 7. J x3 Vx2-4

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Q: Evaluate the follo 1) , 3x(x-5)dx

A: Given integral is: I=∫-123xx-5dx

Q: Evaluate using trigonometric substitution ∫x^2/(16-4x^2)^3/2 dx

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Q: Determine how large the number a has to be so that dx Submit Answer

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Q: Evaluate each intcgrals by using the fundamcntal idcntitics and the double 4 half formulas. Trin x •…

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Q: Show that for B > 0, Be-Ba dx = 1. |

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Q: Using an appropriate substitution, evaluate: dx A D

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Q: Write a in the form e(=) and hence find - [x*] for x > 0. dz

A: The given function is: xx=eln xx    =ex ln x

Q: Evaluate. (Be sure to check by differentiating!) et dx 30. 4 + e*

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Q: Evaluate using trigonometric substitution ∫1/(4x^2+16)^3/2 dx

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Q: |In² |In? x – 4 In x – 5| dx. Evaluate

A: Topic:- definite integration  Note:- if more than one question uploaded than only first question…

Q: Evaluate the following using trigonometric substitution: Vx2 - 4 dx

A: Find your answer below

Q: c) Evaluate [xV2–x? dx by using substitution method.

A: Integrate by substitutions

Q: Calculate , Simplify your answer. HINT [STe Examples 1 and 2.] dx Зх + 9 y = 4x – 1 II

A: Given: y=3x+94x-1   Quotient rule: ddx(uv)=v(du/dx)-u(dv/dx)v2

Q: S, 2x2 + бх dx 1

A: Consider the integral  ∫−112x2+6xdx

Q: dx 9. 3/2 (4-x2)³/2

A: Given:

Q: -1/2 1 b) -dx (1+4x²)[tan" (2x)}

A: We apply substitution method of integration

Q: Find y'and y" if y= Sindx

A: To find the derivative