Find the exact value of the integral using formulas from geometry. 5 (3+ 2x)dx 1

Q: Evaluate the integral | x(x – 5)7/2 dx by making the substitutionu = x – 5. After substituting we…

A: we use substitution method

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. x³ (3x4 + 2)³…

A: We need to integrate ∫x33x4+23dxSubstitute 3x4+2=tDifferentiate w.r.t t12x3dx=dtNow∫112t3dt ---{1}

Q: c) I = S sh(3x) e* dx %3D

A: We have find the value of I.  1st of all put sh(3x) .  Next step I have explained in details please…

Q: Evaluate the integral. x* In(x) dx =| NOTE: Enter the exact answer.

A: We evaluate the given integral

Q: 1. Which hyperbolic substitution can be used to evaluate the following integrals? dx (a) (b) Vx² +9…

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Q: 1.S(2 + Vx)³ Vxdx

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Q: Use any method to evaluate the integral. S 300 dw w?/100 - w? ... S- 300 dw w/100 – w? (Type an…

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Q: Evaluate the integral. -2x. + C dx NOTE: Enter the exact answer.

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 9e" + 8e-X dx…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 9e dx 1+e2=…

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Q: Compute these integrals using trigonometric substitution. Must work the integrals out by hand and…

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Q: 1. Consider the integral: ,' (x³ – 2x? – 15x)dx and n = 5 - a) Find the right side estimate b) Find…

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Q: The following integrals a and b values are respectively -7.4 and 6 by that, n = 5 by the trapezoidal…

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Q: Using a Table of Integrals with the appropriate substitution, find re3x + 7e2¤ + 4e* dx Ve2x 64

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Q: Find dy /3

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Q: Evaluate the integral. NOTE: Enter the exact answer. 1 + 26/x| dx 6x3 +C

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Q: Find the x-and y-intercepts of the rational function   See picture

A: The given rational function is,

Q: Evaluate the integral. sech?x +C. 4 + tanh x

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Q: Evaluate the integral. C x² e* dx NOTE: Enter the exact answer.

A: As per guidelines we have to solve one question Please repost the other questions again

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 19e" dx 1+…

A: Please see the answer below.

Q: state the trigon metri e subs tition you would use to Find the indefinite integral Do Not integrate.…

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Q: 4. Evaluate the integrals. Simplify your answers. d. cot x sec2x dx T/6

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Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) xp…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dx 4 +C (2 –…

A: Substitute the denominator and simplify then integrate.

Q: Use substitution to change the integral into one that can be evaluated by a formula from geometry,…

A: Solution; Consider the given integral: I = ∫1e525-(ln x)2xdx Substitute ln (x) = u du = 1xdxwhen x =…

Q: 12-1 – 1|r dr 1|x dx

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 4 dx = +C (1…

A: Given:         ∫41-2x6dx     =4∫11-2x6dx substitute u=1-2x→dudx=-2             dx=-12du…

Q: 3. Using the Trapezoid and Simpson's rules, solve the integral below: = (x In xdx a. 0,8 b. I=…

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Q: valuate the integral using the Trigonometric Substitution metho x² (81-x²)3/²2 dx

A: Topic:- application of integration

Q: Evaluate the integral. 2 11 dx x'Vx? NOTE: Enter the exact, fully simplified answer.

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Q: Using iterated integrals, find the smaller area cut form the circle x² + y2 = 16 and the line y =-1.

A: to find the area we consider th strip parallel to y axis  and desctribed the region as below

Q: Evaluate the integrals: x-y х-у (x+y)3 dxdy (x+y)³ kpxp I xpáp S pue Are the results the same? Why…

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Q: nd the exact value of the integral using formulas from geometry. 2 2 dx 4-x dx = Type an exact…

A: Given query is to find the value of the integral using trigonometric substitution.

Q: Use the technique of completing the square to evaluate the following integrals. x- 6x Show your…

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Q: Find approximate value of the following integral by using the trapezoidal rul 10 " 10 sin(20x²)dx…

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Q: correct answer to evaluate the following integral dx Jo (1 - x*)2

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Q: Evaluate the integral. dx 9, NOTE: Enter the exact answer.

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Q: Question dx Using an appropriate substitution, the integral is equal to: 6x+40 (Complete the square,…

A: Integrate

Q: Evaluate the integral if it exists. dx Select the correct answer. 1 1) x- 2 lnx-+ C 2) 2- Inx+ C 3)…

A: We use identity  (a-b)2= a2+b2-2ab in numerator of integral

Q: 2 58 n lim dx !! (n+1)? j=1 and the value of the integral is

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Q: Approximate the following integrals using Gaussian quadrature with n = 5, n = 10, and n = 50. Create…

A: The gaussian-Quadrature formulas are a group of numerical analysis methods for approximating the…

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 12e 1 + ²x |…

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Q: Evaluate the integral. NOTE: Enter the exact answer. 1 xy10 dy dx x2

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Q: d.x -x2-4x

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Q: use an appropriate substitution and then a trigonometric substitution to evaluate the integrals.

A: Given that, the integral  I = ∫x dx1+x4  Let t = x2  dt = 2x dx dt2 = x dx I = ∫x dx1+x4 I = ∫11+t 2…

Q: Evaluate the integral. NOTE: Enter the exact answer. 1 + 11/x| dx 13x3 J+C

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Q: J xe3* dx х S xsenxdx Sx² cos2xdx

A: Given that integration and we solve it by using general rule of integration. Here i attached…

Q: Find the exact value of the integral using formulas from geometry. + 2x)dx 1 3 J(1+2x)dx =O…

A: Area of rectangle= length* breadth Area of triangle= 1/2 base * height

Q: 1. Given ,(2x3 – 20x? + 67x – 70)dx find: a. An approximation using 4 left rectangles b. An…

A: The given integral is, ∫242x3-20x2+67x-70dx Number of rectangle is n=4.

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. x3 (3x²+2)³ J…

A: Given: I=∫x33x4+23dx     ...1   As we know that; The Power Rule: ∫xndx=xn+1n+1+C ; n≠-1