I - 1 Evaluate the integral: dr. (x + 1)2 + 2

Q: (a Evaluate the indefinite integral ap0 + pt B10. where a > 0.

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Q: a = 2 -a Consider the integral I when answering the following questions. 1= 9(2) dz I -6

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Q: ( 4r-3 da x+1 4. Evaluate the integral:

A: Given: I=∫4x-3x+1dx

Q: Bonus: Evaluate the integral  ∫ cos2 x dx

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Q: dx 2. S (x²+4x+4)(x²–4)

A: We will integrate as following.

Q: 8. X -dx. Evaluate the integral / (72 + 1)( 2· x – 2)

A: To Evaluate:

Q: a. Evaluate 15 tan x sec x dx using the substitution u = 2, tan x. b. Evaluate 15 tan x sec ´x dx…

A: Integration basically means to find the integrals, i,e. to assign numbers to function in such a way…

Q: Evaluate the integral | * elan(13-x) sec²(13 · x) dx 52 Write your answer in the form ea – b -

A: The given integral is ∫0π52etan13xsec213xdx. Let u=13x. Then du=13 dx. The lower limit will change…

Q: 7-38 Evaluate the integral. 7. X - 1 dx 5x + 1 9. dx (2x + 1)(x – 1) 11 dr

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Q: Use substitution to find the indefinite integral. S(1- e 241-17e dt 34t- 17t2 dt ) e Describe the…

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Q: 1. Use the Fundamental theorem of Calculus 1 to evaluate the integrals. Please give exact answers.…

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Q: 3- I = xp- (x² + 1)²(x² + 2x + 2) Solve this integral by using Rezidue Therom. 8.

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Q: 5 If g(1) = 4, g(5) = -7, and | g(x) dx = -8, evaluate the integral ag (x) dr. Answer:

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Q: i. 3. evaluate the following integral

A: I have provided this answer with full description in step-2.

Q: 9. Evaluate the integrals. b. Sintian dr

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Q: evaluate the integral 5 ∫ - 8 (5 is top of integral, - 8 is bottom) e ^ -0.02x dx

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Q: - sec?x)emG/e sec³x dr e In (a le) What should be the value of A for to be integrable using the…

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Q: 6x -dx. Evaluate the integral (72 + 1)( 2· x – 2)

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Q: 2 V27 + (x7)²Ax lim n00 i=1 can be expressed as a definite integral on the interval [1, 8] of the…

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Q: n Σ sin n i=1

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Q: 10 Let f be a function such that I f (2x - 3) dx = 2. Write an equation that can be inferred…

A: Given integration 210∫F(2x - 3)dx = 2 Let 2x – 3 = u Then 2dx = du dx= du/2

Q: Find the indefinite integral (-7-7 tan'e) de. S(-7-7 tan'e) de = O

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Q: Let n be a positive integer, and a and b two positive real numbers. 1 Use a substitution to evaluate…

A: Given: ∫xn-1a+bxndx

Q: a. Evaluate 15 tan x sec x dx using the substitution u = tan x. D. Evaluate 15 tan x sec c.…

A: Explanation and solutions is given below....

Q: (b) | 3x(r – 2)2 dr Evaluate:

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Q: Evaluate the integral. 1/2 21 sin x dx

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: Evaluate the definite integral. - 7/6 |x/6 sec(t)( tan(t) + sec(t)) dt = secti 0.72 %3D Hint: First…

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Q: Evaluate the integral. 37/2 8|sin x| dx

A: The given integral is ∫03pi2 8sinxdx. The function sinx is positive in the first quadrant and…

Q: 1+ VI (20) Evaluate the integral: -dx. VI

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Q: 2x-1 dx is an improper integral 2-5x+6 Select one: O True O False

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. 11 | ² || ² + 1²j||d² = dt = 0

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Q: -. Express lin (we (2 4 ) - 2 (2 + 2)) 2 2+ as a definite integral, f sec n→∞ N i=1

A: Given  limn→∞3n∑i=1nsec2+3in-22+3in

Q: (2x² +)x ;dx (x8 + 4x5 + 4x²)² Using u-substitution and transformation of the integrand, then the…

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Q: Evaluate the integral. 37/4 5 sec e tan e de Select one: A.-10/2 B.52 C.0 D.-52

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Q: 4-x dx In evaluating /x by substitution, if u=4- x then what will be the resulting indefinite…

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Q: -t √3u U Evaluate the integral: So So So S² S³ 2442 ds du dt s²+u²

A: A detailed solution is given below.

Q: 11 dx Evaluate the integral: , (5æ+6)² 11 55

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Q: Find the indefinite integral of r(t)=(-48t-20/3+5t+t^2)i+(arcsin(t))j+(cot(t))k

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Q: •3 4 - dx 2x ... Evaluate the given definite integral using appropriate substitution: A 8ln(5/3) B)…

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Q: a. Evaluate the indefinite integral: :- 1 1+÷x 4 6.

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Q: x3+10 x3-2x²+5x f are integers. What is the value of b? X-e The resulting integral of J dx is ax + b…

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Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

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Q: Evaluate this integral.  I = ∫ 3 0 | x^2 - 4 | dx.

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Q: S(67² - 4t + 3) dt

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Q: The sum -1 f(x) dx | f(x) dæ f(x) dæ -2 -2 can be written as a single integral in the form f(x) dæ a…

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Q: Integrate I -dz Select one: O A In 1-¹-2²+√1 − x² + C I OB. 21n1-¹³+√1 − x² + C | OC. In 1-²+√1 = z²…

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Q: 4 dr - 2x Evaluate the given definite integral using appropriate substitution: ... A) -2ln(5/3) B)…

A: Use substitution

Q: xP-1 7. Find the relation between p and q that makes integralS dx con- 1+ x9 vergent. A) p=q B) q>P…

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Q: S(2- sec?x) eln ale)sec³x sec( 3A – x) What should be the value of A for dr to be integrable using…

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Q: Find the indefinite integral. -6w ſe " sin2w dw 3sin2w+cos2w-ów 20 sin2w- 3cos2w +C 20 -sin2w-…

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