10 Use appropriate formulas from geometry to evaluate the integral (-2)dx. Write the exact answer. Do not round.

Q: S In(5æ)dx Choose... dx /2x-a2 Choose...

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Q: 3 dx. C

A: We have to solve given problems:

Q: 21. Given the integral [ cot³x csc ³x dx. If u = cscx, then the integral can be re - written as:

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Q: Evaluate the improper integral : 4x°e_9x* dx -924

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Q: Sketch the region whose (sigued) area is represented by the definite integral, and then use…

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Q: Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the + 7) dx, n = 4 5 Exact…

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Q: evaluate using trigonometric substitution. Refer to the table of trigonometric integrals as…

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Q: 3 Given that 3. e dx = e° - e, use this result to evaluate 3ex + 4 dx.

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Q: evaluate using trigonometric substitution. Refer to the table of trigonometric integrals as…

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Q: Evaluate using trigonometric substitution. Refer to the table of trigonometric integrals as…

A: We know that, sec2x=1+tan2x∫secxdx=ln|secx+tanx|+c. We evaluate the given integral using the above…

Q: Evaluate the integral. 1/4 | 4 secx dx 1/4 I sec²x dx = [ O 4 sec x dx = (Type an exact answer.)

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Q: Find the area of one leaf of the rose r= sin(150). Enter your answer in terms of 7, do not use…

A: we have to find area

Q: の1) (のの) (めみ) Cn %3D Cnt = %3D antt San So,itis increa Sing. @dn=

A: dn=n32n! On simplification, we get dn=n32n·2n-1!=n22·2n-1! Now,…

Q: S dy 2 2 +1

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Q: Find the values of a that make: a (x – 2)dx = 6 %3D

A: An integral expressed as the difference between the values of the integral at specified upper and…

Q: tan Vy dy

A: Integration by substitution: - Let F and g be differentiable functions, with g's range corresponding…

Q: Evaluate using trigonometric substitution. Refer to the table of trigonometric integrals as…

A: Given- ∫dx25x2+2 To Find- The va;lue of above integral using trigonometric substitution.

Q: (a) Use the trapezoidal rule to approximate the integral. | (4x° + 4) dx = - 1 (Round the final…

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Q: 4) Show that the circumference of the unit circle is equal to 1 dx (an improper integral) 2 1 – x²…

A: We need to verify the circumference of circle.

Q: evaluate using trigonometric substitution. Refer to the table of trigonometric integrals as…

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Q: Evaluate A Se-* dx by Simpson's 1/3 rule with n=10, work for six digit

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Q: 2sinh cosh -dx 3cosh? * 2

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Q: Use U-substitution to find the integral: 2 1 dx

A: Given,          ∫1x22-1xdx

Q: dx Evaluate Зх — 12

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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: Find the area of one leaf of the rose r = sin(15€). Enter your answer in terms of A, do not use…

A: The area of the one petal of the rose is given by: A=12∫0π15r2dθ

Q: 70. Use the fact that (b*) = (In b) b* to prove that (ek*) = dx dx kekx. ||

A: Differentiation rules help to prove the required. The given fact helps to prove the required. Chain…

Q: 50. cot? (2x) csc³ (2x) dx

A: ∫cot22xcsc32xdx

Q: Use a substitution to evaluate the following integral.  ∫ 6x 2 (fourth root 12 + 2x3 ) dx

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Q: Evaluate the integral by completing the square and applying appropriate formulas from geometry.…

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Q: Sxsin?xdx 2

A: ∫xsin2xdx sin2x = (1 -cos2x)/2 put this in equation ∫ x(1 -cos2x)dx/2 ∫ x/2dx - ∫ xcos2xdx/2 x2/4 -…

Q: Evaluate the integral | 6*dx. 6* dx = (Type an exact answer in simplified for

A: ∫ax dx = axlna Here  a = 6

Q: evaluate using trigonometric substitution. Refer to the table of trigonometric integralsas necessary

A: Let, Then we integrate by substitution

Q: 4. Evaluate the integral. 4 y³ex* dx dy

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Q: /2 dx by completingquam, show thad 353 スーx+

A: The integral function is ∫012dxx2-x+1=π33.

Q: (12 3 sec* 3xdx 15.

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Q: By inspection, find the following integral 1 dx 2(5 – 3x)

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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 the integral (Trigonometric Substitution) 1 (n²z6 – z®)ždz

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Q: Use properties of the integral and the formulas in the summary to calculate the integrals.

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Q: Use trigonometric substitution to find or evaluate the integral ∫√(25 − 9x2 )dx

A: Use trigonometric substitution to find or evaluate the integral ∫√(25 − 9x2 )dx

Q: 25. Show that the circumference of the unit circle is equal to dx (an improper integral) 2 Evaluate,…

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Q: Graph the integrand and use geometry to evaluate the integral. (3+5x)dx | (3+5x)dx = (Simplify your…

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

A: Given, ∫04xx2-1dx=12ln(15)

Q: 0.2+ 25x+ 3x2) dx

A: Simpson's 13 rule: ∫abdx=h3(y0+4(y1+y3+y5+...++yn-1)+2(y2+y4+y6+...+yn-2)+yn)   Simpson's 38 rule:…

Q: ſ(2x+5)dx Use geometry to evaluate

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Q: 3 Given that ex dx = e³ – e, use this result to evaluate 7ex + 4 dx.

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Q: S tanx dx 5

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Q: or the integral cosx sin'x dx ? Let u = There is more than one credit will be given.

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Q: Which is NOT included in evaluating the integral? (Use the Trigonometric Substitution method.) dx 4…

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