Given the integral S5x+ cos(7s) dx Use the technique that we went over in class to find "u", "V", and "du".

Q: Evaluate the integral. dx :+ C J 22 Va2 – 36 x² /x? - NOTE: Enter the fully simplified answer with…

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Q: 1. cos50 sin³0 de TL 2

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Q: use the indicated substitution to evaluate the integral.

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Q: Evaluate the following integral: Ca-ex ·e¯³) dx a. Analytically b. Trapezoidal rule c. Composite…

A: As per our guidelines we are allowed to answer only three subparts of a given question. Kindly…

Q: Evaluate the following integral using trigonometric substitution. 36x² - 49 7 S² dx, x> 3 x³ 2 √36x²…

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Q: dx V36 - 4x2 You will have to "pull out" at least 1 number before using the integral table that was…

A: According to the question, we need to find the integral of the function: I = ∫136 - 4x2dx Substitute…

Q: Evaluate the integral sin? t cos t dt by making the substitution u = sin t. After substituting we…

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Q: Consider b sin() dx where a, b E R. Which of the following selections result in the integral…

A: I=∫ab sin2x5π dxI=1π-cos2x525abI=52π-cos2b5+cos2a5I=52π2 sin2b+2a5(2)sin2b-2a5(2)I=5π sin(b+a5)…

Q: The instructions for the given integral have two parts, one for the trapezoidal rule and one for…

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Q: 2) Use the appropriate trigonometric substitution to transform the integral into an integral in the…

A: “Since you have asked multiple question, we will solve one question for you. If you want any…

Q: Find the integral | e2 sin(3r) dæ +C

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Q: Evaluate the integral given. sec(2a)tan(2a)dx +C %3D

A: ∫ sec(x)tan(x) dx =sec(x)+C

Q: Use the integration by parts to evaluate the following integral by assuming u = COS 2 dx (cos a + a…

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Q: Can you help with this problem step by step?

A: Take out the 9 , because it is constant. Integration of sec^2 x is tanx

Q: Given: √√-x² + 4x+5 dx. Using trigonometric substitution, what is the integral form in terms of ? A…

A: The given integral is: I=∫-x2+4x+5dx=∫9-4+4x-x2dx=∫9-4+4x-x2dx=∫9-(x-2)2dx

Q: y2-25 -dy is 5 tane - 50 +C, The result of the integral in 0 given A True B False

A: To determine whether the given statement is true or false.

Q: In the integral, cos?tsin2tat , the correct u using general power formula is; A cost B sin(2t) ©…

A: Given integral is ∫cos2tsin2tdt =  ∫cos2t(2sintcost)dt = 2∫cos3tsintdt Now taking u = cost…

Q: 2. sin'0 cos e d0

A: We have to find the integral

Q: 1+I dx Which one is the best substitution for evaluating the integral f cos Oz = u? Or = cos 20 I =…

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Q: 'm/4 (cos 2ti + sin 2tj + tsin tk) dt

A: ∫cos2tdt=sin2t2∫sin2tdt=-cos2t2 using these and trigonometry integration

Q: Given the integral: S, x³ sin(x) dx; n = 8 a) Use the Trapezoidal rule to approximate the integral…

A: The Trapezoidal rule uses the formula below to evaluate an integral in an interval, a, b.…

Q: If you are going to evaluate the integral S V1 - 7w-dw using trigonometric substitution, the answer…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: The integral of (10*/ cos 10*)dx may be written as A In | sec B* + tan B* | + C. Where A, B, and C…

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Q: Transform the integral 7 n do d0 by the substitution r = sin o cos 0, y = sin ø sin 0 and then sin 6…

A: The formula for change of variables is given by ∬Rf(x ,y)dxdy=∬Sf[x(u,v),y(u,v)] ∂(x,y)∂(u,v) dudv…

Q: To evaluate the integral dz, V 2-3 using trigonometric substitution, which substitution should you…

A: As the question only demanded the trigonometric substitution so I have only solved just to reach the…

Q: 1. a° cos(2)da = %3D

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Q: Given the following integral dx You will have to "pull out" at least 1 number before using the…

A: Given that,     ∫5x dx We have to evaluate it.

Q: evaluate the triple iterated integral.

A: The triple iterated integral is ∫03∫π6π3∫04rcosθdrdθdz

Q: Calculate the value of the integral dx (22 + 1) (x² + 4)

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Q: Consider the following integral (r+ 2)²dx J V5 – 4x – x² After making the trigonometric substitution…

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Q: Evaluate the integral by hand, and check your answer with a CAS if you have one. NOTE: Enter the…

A: We have, ∫cos(6x)8+18sin(6x)dx

Q: Given the integral 5x dx x2 - 1 Use the technique that we went over in class to find "u", "u' ", and…

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Q: To solve dx using a suitable trigonometric substitution, the integral can be rewritten as Skole)de.…

A: To solve: ∫14+9x2dx Let I=∫14+9x2dx To solve this, we need to apply trigonometric substitution…

Q: The resulting integral of sin -cos-sin@ do has the form --F(0) + C. What should be the value of e to…

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Q: To evaluate the integral Vx2 + 4x + 5 dx using a trigonometric substitution, use the substitution…

A: As we know that 1+tan2x=sec2x

Q: 3n/4 cot a In(sin r) dx

A: Use integration by parts

Q: Using the trigonometric substitution, the integral dx (x2 - 16) Vx2 – 16 I = is equal to the…

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Q: 3. Calculate the integral dz, (ke R), and use it to calculate the value of the integral cos(k…

A: GIVEN :-  The integral ∫z = 1 ekzz dz    k ∈ ℝ.

Q: Use Simpson's to approximate the integral 2+x* dx, n=4.

A: The integral is ∫012+x4 dx, n=4

Q: The best substitution to use for the integral sin z V1+ cos z dx

A: when we substitute, u = 1 + cosx then the value of du = - sinx dx

Q: 03 cos(02) dO /2

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Q: d) S cos³x sin*x dx

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Q: By the even extension method applied to the function f(x)= e-16z, where a > 0, the value of the…

A: The given function is, f(x)=e-16x,x>0

Q: The integral / sin²xcos?xdx is equal to M – cosN) dx' what is M and N? (1- M= N=

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Q: Use the trigonometric substitution r 2 sin 0 to compute the integral -2 VA – r² dx

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Q: To evaluate the integral x² dx, x² -4x + 20 using trigonometric substitution, which substitution…

A: Answer is option B.

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: Given the integral dx Зх-7 Use the technique that we went over in class to find "u", "u'", and "dx"

A: Given : ∫43x-7dx

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.