5 dx 1 (x-3)² (A) - 1 (B) 0 (c) ∞o (does not exist) (D) 1 Evaluate: E) None

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A:

Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

A: Solution is here

Q: 6) INVERSELY LOGARITHMIC The following information is given about a logarithmic function of the form…

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A: Given; ∫x3lnxdx=fx14lnx-B+C    ...(1)   First, we have to find the integral value. I=∫x3lnxdx Apply…

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A: To find the value of given indefinite integral.

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Q: By method of Integration by Partial Fractions, (x³ +5x²+6) dx (x²–2x+5)² Л < (A) True B) False A B…

A: Given data÷

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A:

Q: If tan A = and tan B B = 1/1, calculate and simplify the following: tan (A - B) = [?]

A: SOLUTION-

Q: What is the value of f(1) - 16B in √ x³ Inx dx = f(x) ( (1/4) Inx - B) + C? О о O 3 02 01

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Q: 6 "Cosx dx. Sinx+25inx+5

A: Integration by Trigonometric substitution:

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A: Here, to evaluate: I=∫e1x2x3dx

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Q: Question 12 Consider ·S S(x-1 x-m+ (A) 17/6 B) 14/3 6 D) 5 3x5 3x4+6x²-3x² - 6x A B C + -+ x-1 x+1…

A: Consider ∫3x53x4+6x3-3x2-6x dx. Using the method of partial fractions, the given integral can be…

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Q: QUESTION 8 The integral O S fec S S O O ·S- O x dx x²+√√√x²-1-1 sine de 1+ cose sec²0 de 1+tane cose…

A:

Q: using the substitution +5= √√x+2+ Find y+2 (√y+2-5) (5√/y+2-y+24) +C 02 (√3+2-5) (5√y+2+y+21)+C…

A:

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A: The given function is: f(x)=(-2-x)2+5 if x≠-34x+17 if x=-3

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A: Please see the below picture for detailed solution.

Q: Evaluate A B D Stan" (x) sec¹x dx. 1 (m+1 ¹) (x) + m+1 1 )(x) + m+3 2) (x) + m+2 -¹)(x) – m+1 tan…

A: We will evaluate the given integral by using substitution method as shown below

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Q: What is the definite integral on the interval [1,3] given by n lim n-∞ €k cos πæk Δα? 3 of x cos x…

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Q: What is the of y = (tan-¹4x)² ? 2 - 2tan ¹4 1+16x² 1 8tan ¹4x 1+16x² 2tan-1 ¹4x 1+16x² -1 8tan ¹4x…

A:

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Q: y=(-4x²-5x²) (7x - 2)

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A: To find the value of given integral.

Q: Suppose m and n are constants and m # n Evaluate O 1 1 -cos(m-n)x - - -cos(m+n)x] + C m-n m+n O 1 1…

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Q: Evaluate fsir sin (Inx) dx Integration by parts will be used repeatedly. What is the expression…

A: topic - integration by parts

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Q: If A B (C) E +x+ (x-1)(x+1)(x-2) 11 3 - <-2 11 3 None 3 dx = + B +dx, then the value of C is equal…

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Q: 10. 3 J√cos z sin ³ zdz COS

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Q: If z = x² dz = Az = - ·xy + 4y² and (x, y) changes from (1, −1) to (0.96, −0.95), compare the values…

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Q: Evaluate the following. 1. [(sec 3x+cos3x)² dx

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Q: Question Given compute the following integral. Provide your answer below: (-4f(x) + 4g(x)) dx = […

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