Evaluate the integral. (Use C for the constant of integration. Remember to use absolute values where appropriate.) 36 + u2 du 4u

Q: Complete the table to find the indefinite integral. (Use C for the constant of integration. Original…

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Q: What sort of answer do we expect for each of the following integrals? 51

A: ∫351f(t)dt=gt351=>∫351f(t)dt=g(51)-g(3)So, the answer will be a constant.

Q: Write the formula for given below integral and evaluate it. 4 sec3 0 d0

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Q: 5 — 2х da J V12x – 4x2 12х —

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Q: 4. dr

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Q: Find the integral. Box Final Answe r. For the definite integral, gve the exact answer only Ssin(Bx)…

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Q: Evaluate the integral. NOTE: Enter the exact answer. + 13/x| dx +C [ 20:r3

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Q: f1+z+² /1+z+z? + 3z*dz

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: dx 2 X + 4

A: Topic = Integration

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

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Q: Evaluate the integral: ∫6/[(x+a)(x+b)]dx for the cases where a=ba=b and where a≠b.a≠b. Note: For…

A: The integral, ∫6x+ax+bdx.

Q: Use the Table of Integrals to evaluate the integral. (Remember to use absolute values where…

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Q: | h(r)dr 19 and | h(r)dr = 8.3 what does the following integral equal? h(r)dr =

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Q: .2 x² + 6x dx (х2 + 3)?

A: Recall: ∫1x2+a2dx =1atan-1xa+C ∫ax+bndx =1a.ax+bn+1n+1+C

Q: Use integration by substitution to solve the integral below. Use C for the constant of integration.…

A: Given query is to find the solution of the integral.

Q: Use substitution to rewrite and solve the definite integral: 5æ(a² – 2)*dæ Let u = New integral: du…

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Q: 6) St³ (t* + 3)7dt

A: Simply use the substitute and find antiderivative.

Q: x/1 - x² dA; R = {(x, y) : 0 < x < 1, 2 < y < 3}

A: The double integral ∬Rfx, ydA is can be written as ∬Rfx, ydxdy. We have given the region R=x, y :…

Q: Evaluate the integrals. Simplify your answers. c. S cot x sec²x dx 7/3 с. T/4 12 e. S dx

A: c.∫π4π3cotx sec2x dx

Q: jre*dx = x*e* - n{ x*" 'dr -n|x"-le*dx %3D

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Q: 12) Find each integral by substitution a) [xe dx -dx- b) 7+9

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Q: Evaluate the integrals. Simplify your answers 5. S sec“x dx

A: The solution is given below.

Q: Q12/ Find the integration * ( 3tan3*/* sec?(x/4)dx. Your answer

A: Given the integral. Using integral calculator,

Q: ate the integral. (If the quantit 8. dx (x2 + 4)2

A: The given integral,                ∫-∞∞xx2+42dx

Q: Use a substitution to write the following integral as an integral of a rationa function. Do not…

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

Q: Evaluate the integral. 5 x es* dx = C NOTE: Enter the exact answer.

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Q: Write the formula for given below integral and evaluate it. 4 sec3 0 do

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Q: | (++3) et/4 dt

A: Here we will use integration by part formula

Q: Complete the table to find the indefinite integral. (Use C for the constant of integration.)…

A: Answer

Q: Express the integral in terms of the variable u, but do not evaluate it 15x-14 dr: u = 15x – 14…

A: Topic = Integration

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

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Q: VI+ 25z°dz Evaluate the integral: + C

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Q: Write the formula for given below integral and evaluate it. 4 sec3 0 de

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Q: Complete the table to find the indefinite integral. (Use C for the constant of integration.)…

A: Note: We know that integration of x^n is given as x^(n+1)/(n+1) + C. Where n not equal to -1 and C…

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the con 7dx…

A: We have to evaluate the integral I=∫7dxxx2+42

Q: Two cars with velocities v1(t) and v2(t) (in meters per second) are tested on a straight track.…

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Q: Q1/ Find the value of the integral dz. where y is the circl

A: Integration of complex valued function

Q: Use integration by parts and Legendre equation to find the value of the integra when n = M S (1 –…

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Q: Evaluate the integral below. Find the value of A + B - C, where "e = 2.718281828..". A dx = e +C B…

A: To find A+B-C Given integral is, ∫01xex1+x2dx=∫01exx+1-11+x2dx…

Q: Which value makes the following integral improper? Give a reason for your answer. dx S. X VIn(x)

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Q: Evaluate 4.x sin(y?) y3 dydx. Hint: reverse the order of integration

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Q: •V3 Evaluate (V3 – x? – 2|x|) dx by interpreting the integral geometrically.

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Q: Complete the table to find the indefinite integral. (Use C for the constant of integration.)…

A: The given integration is: ∫1xx5dx To compute the given integration.

Q: First make a substitution and then use integration by parts to evaluate the integral. (Use C for the…

A: The given integral,       ∫9 sinlnx dx

Q: 4. S 3xsen5xdx 5. S te2t dt

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Q: 16. V5 a csc? (3а? - 1) da 4

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Q: 6. f(x)= 1+x? at x = (2, 3|

A: You post three questions these are non link questions, as per our guideline we can solve only first…

Q: Use substitution to rewrite and solve the definite integral: 3x2 27 - Let u = New integral: du Where…

A: The given integral is:∫343x2x3-27dx

Q: x" In x dx

A: Given: I=∫xnln(x)dx

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.