Graph the integrand and use integral. geometry to evaluate the 3 28) 7x dx

Q: Graph the integrand and use areas to evaluate the integral. 5 S (5-1x) dx -5 A. 50 B. 75 C. 25 - 2…

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Q: Use geometry and properties of integrals to evaluate the followingdefinite integrals.

A: Complete the square: (8x-x2) = -(x2-8x+16-16) => (8x-x2) = -(x-4)2 + 16 Substitute this in…

Q: CztsecxJ

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Q: Evaluate the integrals in Exercises  by making a substitution(possibly trigonometric) and then…

A: since you have posted multiple questions so I'll solve first one for you , for rest question's…

Q: Consider S dx. Using trigonometric substitution, what is the integral fom in terms of 03

A: Given: ∫x2-9x3dx Using trigonometric substitution, we have to write the integral form in terms of θ.…

Q: Evaluate the integral fr 2xy dA, where R is the triangle 3x + y 0, y > 0. Sr 2xy dA =

A: ∫R f(x,y) dA = ∫x1x2∫y1y2 f(x,y) dy dx or ∫y1y2∫x1x2 f(x,y) dx dy.

Q: Evaluate each integral using GEOMETRY. Draw a picture, and show your work. a. (2x-4)dx SV4-x'dx b.

A: given,

Q: Evaluate the integral by completing the square and using trigonometric substitution.

A: Integrals and derivatives are considered to be reverses of each other. For example if we have a…

Q: Graph the integrand and use geometry to evaluate the integral. V36-x2 đx O 36 O 36 O 18

A: We will solve the problem

Q: Use Cauchys Integral formula , Evaluate the following • I= 6 sin4z %3D

A: Cauchy's integral theorem and Cauchy's integral formula are the two theorems in evaluating a complex…

Q: Set up, but do not evaluate, an integral that gives the circumference of r = a(1+ cos 0).

A: The arc length, L , of a polar curve between to is calculated using the formula below.

Q: Evaluate the integral using FTC I.

A: The given integral is ∫-32 u2 du. It is known that ∫ u2 du =u33+C.

Q: a) Ś ingro find the value of the i od specify the integrel caiedes |-x2

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Q: Evaluate the integral using FTC I.

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Q: Use trigonometric substitution to find or evaluate the integral

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Q: Find the integral: J 3sinhæ-5cosha da Select one: a. -글arccos를 + C b. 글arcsec를 +C c. 글aresin를 +C…

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Q: Evaluate the integral. cot (2x) csc°(2x) dx = + C NOTE: Enter the exact answer.

A: The given integral is ∫cot32xcsc32xdx

Q: Graph the integrand and use areas to evaluate the integral. 7 22) [ ( x|+ 6) dx -7 A) 217 B) 182 C)…

A: We have to graph the integrand and use the areas to evaluate the integral.

Q: Use an appropriate contour integral to evaluate the following real integral rinfinity (26 – 8)dx Jo…

A: Given, integral is as, ∫0∞x6-8x4+5x+42dx  I=12∫-∞∞x6-8x2+12x2+42dxconsider…

Q: Graph the integrand and use geometry to evaluate the integral. 6 2) s V36 - x2 dx -6

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Q: Evaluate the integral (Trigonometric Substitution) 1 (b²y6 – y®)Zdy

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Q: (b) Evaluate the integral | xln xdx using by parts formula.

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Q: 5e*dx V9-12e3* +4e6x

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Q: Evaluate the integral SR 4xy dA, where R is the triangle 5æ + y < 5, a 2 0, y 2 0. SR 4ry dA =

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Q: find the apPhto Ximation of the follou) values, which Ts different between the intesors 22/7 da 2+…

A: We have to evaluate the integrals ∫0πx32+8sin2xdx and ∫0227x32+sin2xdx Consider ∫x32+sin2xdx⋯(I)…

Q: 9. Use geometry to evaluate each definite integral 3xdx

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Graph the integrand and use geometry to evaluate the integral. jua 8x dx А. 48 О В. 144 OC. 288 O D.…

A: The graph of the integrand is drawn in black colour in below graph, and the red region indicates the…

Q: Find or evaluate the integral

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Q: Evaluate the integral usir бх? —7х+11 a) 3x -2

A: The handwritten solution of both the questions is given below-

Q: Evaloate the integral by completing Vx²+4x+20 the square and using trigonometric substitutron.

A: by completing the square using trigonometric substitution

Q: x² +y? = 4, x² + y? = 9

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Q: O Evalu ake I dx

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Q: (a) / va - Va? – a² dx

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Q: Evaluate the integrals ∫8 cot4 t dt

A: The given indefinite integral is: ∫8 cot4t dt Since 8 is a constant, so take it outside. ∫8 cot4t…

Q: Evaluate the integral: ∫ sqrt[1/2 +x4+1/16x4] dx,    [1,2]

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Q: Evaluate the integral using FTC I.

A: FTC I stands for the first fundamental theorem of calculus. The same is produced below:

Q: Use Cauchy's integral formula (or its extension) to calculate each of the following integrals (in…

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Q: Evaluate the integral. 6x * de +C 17e -

A: The value of the given integral is 18x1/3 - 17ex + C

Q: Graph the integrand and use geometry to evaluate the integral. 7 | (1x| + 6)dx -7 O A. 49 O B. 217 O…

A: To find the given Integral.

Q: 1 | (n²z6 – 28)Zdz

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Q: If the integral contains v(x^2 - a^2), the best trigonometric substitution to be used is A. let x =…

A: Solution is written in below steps.

Q: Use the Rectangle Property to evaluate the following integral. -3 (-14) dx = %3D

A: given integral :

Q: Evaluate the integral. 7/4 2 cot (20) de T/8

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Q: Utilize trigonometric substitution to evaluate the following integral: x*dx S- V8- 2x*

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Q: Evaluate the integral. (Use C for the constan (1 +e*)? dr

A: Given: ∫1+ex2exdx

Q: 55. Prove the formula SuT-zidx=;sin using geometry by interpreting the integral as the area of part…

A: We have given the integral;

Q: Graph the integrand and use areas to evaluate the integral. 8) V49 - x2 dx -7 A) 77 B) 497 49 D) 49…

A: We have to graph the integrand and use the area to evaluate the integral.

Q: Evaluate the integral using FTC I.

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Q: Evaluate the integral using FTC I.

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Q: Evaluate the integral using FTC I.

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