Consider S integral can be written as of A, B, and C. 6 O 5 14/3 O 17/6 3x5 3x4+6x3-3x2 - 6x √(x-1 -dx. Using the method of partial fractions, the given A B C Find the sum + + - Jdx. x-1 x + 1 x+m x-m+

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

A: Explained below

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

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A: As per our guidelines we are supposed to answer only one question i.e. question no (a). For the…

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A: We can solve the integral by using substitution .

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A: Indefinite Integration

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Q: QUESTION 4 What is the value of f(1) - 168 in x³ Inx dx = f(x) ((1/4) Inx-B) + C? 3 2 00

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A: topic- equation of line

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A: The region is bounded by y=116x3-34x2+3x and the line y=x.

Q: What is the value of f(1) - 16B in I x³ Inx dx = f(x) ( (1/4) Inx - B) + C? 01 3 00 02

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Q: QUESTION 16 The volume of the solid generated by revolving the region bounded by x²=4y and y2-4x…

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A: We have to find out the substitution

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Q: The integral I com S f se fse x dx x² + √√√x²-1. cose de 1-sin sinᎾ dᎾ 1+ cose sec²0 de 1+ tane sece…

A: Substitute x= secθ and solve . dsecθdθ = sec(θ) tan(θ).

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Q: Suppose m and n are constants and mn. Evaluate sin(mx) cos(nx) dx. 1 A cos(m− n)x - cos(m+n)x] + C…

A: The objective is to find the correct option.

Q: Exercises To Solve [No.5] Lim 9-5 a -4 dx ·8X-15 6 Sinx+25inx+5

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

A: Washer Method

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A: Given.   x^2+y^2=sin^2z

Q: Question 19 The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x…

A: Let's find.

Q: (C) Find dx (i) y= for the following functions : 3x 2x-1 2x+1 (ii) y=sec(sec ¹5x)+e5lmx +4

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Q: Consider S √(x-m+ 14/3 B 5 Ⓒ17/6 D 6 3x5 3x4+6x³-3x² - 6x A B C + + x-1 x+1 x+m -dx. Using the…

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Q: Question 10 The volume of the solid generated by revolving the region bounded by x²=4y and y2=4x…

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Q: The table below shows the average rates of change for points near In (2) for the function f(x) = e +…

A: We have to find the instantaneous rate of change

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A: solution

Q: S The integral S x dx x²+√√x²-1-1 sece tane de sece - 1 sec²0 do 1+tano cose dᎾ 1 - sino sine de 1 +…

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Q: ve [No.5] -2 2 зах 9x²-6x+5

A: On solving this we will get

Q: Evaluate (A) (В B D Stan" (x) see4x dx- 1 m+3 -tan (m+3)(x) + m+1 1 (m+1 1 tan + ¹)(x) − − m+1 m-1 1…

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Q: (в Suppose m and n are constants and m #n. Evaluate 1 (A) √ [n² m² -cos(m− n)x-- -cos(m+n)x] + C m+n…

A: To solve the given integral.

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Q: Given the following pieces of information: I. a = (4, -2, 3) II. b = (0, 3, -5) Find: a) lal b) ab…

A: According to our guidelines, we can answer only one question or three subparts of a question. Other…

Q: y dy Find S- y+2 A ²/(√x+2-5)(-5√/y+2+y+21)+C ℗ ²/(√3+2-5) (5√/y+2-y+24) + C B Ⓒ(√x+2-5)…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

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Q: To evaluate [x²cosx dx' -2 / COST. 2sinx -2/cosx 2 / COST x2sinx – 2x cost x2sinx+2x cosx − 2 x2sinx…

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Q: Evaluate x2— 2x = In 4x–ܐ0x 3 5 3x4+ 63 - 3x2 -— 6x 2 O,2-4x 2 0 x²-2x 2 + ܀ -dx using method of…

A: Let's evaluate given integral.

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Q: The temperature, H, in degrees Celsius, of a cup of coffee placed on the kitchen counter is given by…

A: Given,The temperature. H. in degrees Celsius, of a cup of coffee placed on the kitchen counter is…

Q: Exercises To Solve [No.5] 3dx 9x²6x+5

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Q: Find y dy √y+2 using the substitution u +5=√√y+2.

A: Follow the procedure given below.