Evaluate sin (Inx) dx. Integration by parts will be used repeatedly. What is the expression after the second integration by parts? Axsin (Inx) -xcos (Inx) + sin(Inx) dx + C ℗ 2rsin (Inx) - [sin (Inx) dx + C B Ⓒxsin (Inx) - xcos (Inx) - [sin (In x) dx + C xsin (Inx) + xcos(lnx) - [sin (In x) dx + C

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

A: Indefinite Integration

Q: The integral S (A S- (в x dx x² + √√√x²-1- sino do 1 + cos sec²0 do 1+tano " cose de 1-sino sece…

A: Use trigonometric substitution

Q: R 5″ Find the area bounded by the trigonometric curves y=sinx and y=cosx from x=- to x=- 4 4 (A…

A: Here we have to find the area bounded by the given trigonometric curves.

Q: What is the value of f(1) - 168 in x³ Inx dx = f(x) ((1/4) Inx - B) + C? 02 1 03

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Q: Question 20 x 1/2 For S dx and using the substitution = 1/2, the resulting integral takes the form:…

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

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 integral x dx x² + √x² can be transformed to which of the following using trigonometric…

A: ∫xx2+x2-1-1dx=∫secθ.secθtanθsec2θ+sec2-1-1dθ=∫sec2θtanθsec2θ-1+sec2-1dθ=∫sec2θtanθtan2θ+tanθdθ=∫sec2…

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

A: Follow the procedure given below.

Q: Consider ! x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)?

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Q: ve [No.5] -2 2 зах 9x²-6x+5

A: On solving this we will get

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

A: We have to find the inner radius

Q: A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the integ…

A: Solution of the problem as follows

Q: dx The integral (244) ² + A = cos²0 de B - sec ³0 de Ⓒ+√x³0 de Ⓒ÷-sin²0 D sin ²0 de can be…

A:

Q: Suppose m and n are constants and m #n. Evaluate A B C D [sin(mx) cos(nx) dx. [„ _m cos(m − n)x -…

A: Here's the solution, please have a look at it..

Q: Find the area bounded by the curve y=-x³ 16 (A) 8 square units B) 4 square units C) 16 square units…

A: Take the integral of the first curve minus the second curve.

Q: For f x 1/2 dx and using the substitution=x1/2, the resulting integral takes the form: -du 411…

A: We know that integration of xn is nxn-1.   Here i attached the solution of this question.

Q: dx The integral S- can be transformed to which of the following when trigonometric substitution is…

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Q: sin (mx) cos(nx) dx

A:

Q: y dy Vy+2 (√3+2-5) (5√3+2+7+21)+C (√3+2-5) (5√3+2-1+24) +C 3 Ⓒ(√3+2-5) (5√3+2+3y+24)+C…

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

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

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Q: Exercises To Solve [No.5] 6 "Cosx dx. Sin x+25inx+5

A: See the details solution in below

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

A:

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

A: Given ∫sin (ln x) dx Let I=∫sin (ln x) dx By using integration by parts method,∫udv=uv-∫vdu u= sin…

Q: Evaluate fun" (x) setx de Stan" 1 -tan (m + 1)(x) + — -tan (m-1)(x) + C m-1 ₁ (m + 2)(x) + -tan" (x)…

A: On solving this we will get Option (3) is correct

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

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Q: QUESTION 8 Consider S S[x_m+ 17/6 5 6 14/3 3x5 -dx- Using the method of partial fractions, the given…

A:

Q: Consider S x-m+ (A) 6 B) 5 3x5 3x4+6x³3x² - 6x A B C + + x-1 x+1 x+m 17/6 (D) 14/3 -dx. Using the…

A: Here is the solution of the given problem. Method of Partial Decomposition

Q: Consider J x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? A) 1/4 B)…

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Q: QUESTION 18 The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x…

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Q: Consider √(x-m. 3x5 -dx. Using the method of partial fractions, the given integral can be written as…

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Q: S- x² + seco tan de sece - 1 sec²0 de 1+tano sine de 1 + cose cose dᎾ 1 - sino The integral [se S I…

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Q: Question 17 1/2 S. dx and using the substitution = x 1/2, the resulting integral takes the form:…

A:

Q: Question 9 The integral S x dx x²+√√x²-1-1 A /co B / Ⓒece s cose de 1 - sine sec²0 de 1+ tane secᎾ…

A:

Q: Question 16 Л 5л Find the area bounded by the trigonometric curves y = sinx and y=cosx from x=- to…

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Q: Consider x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? 1/2 3/8 1/4…

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Q: To evaluate x²cosx dx' use integration by parts. What is the expression after the second integration…

A:

Q: The integral [₁ face 8 dx S can be transformed to which of the following when trigonometric…

A: We have to solve above integral

Q: 3x5 dx Using the method of partial fractions, the given integral can be written as 3x² - 6x Consider…

A: To solve the following problem

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

A: The problem is to find volume of solid generated by curves revolving about a line using disk method.…

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

A:

Q: x dx ·S- can be transformed to which of the following using trigonometric substitution? x²+√√x²-1-1…

A: Trigonometric substitution

Q: Exercises To Solve [No.5] 4 S (x-1) √X²2X-3 dx 3-2x-x²

A: Note:- according to the company policy we have to attempt only one question so please upload the…

Q: Consider S[x-m+ A) 5 B) 14/3 C) 6 D) 17/6 ·S= 3x5 3x4+6x33x² - 6x A B C + + x-1 x + 1 x+m -dx. Using…

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Q: Question 13 The integral dx √(x²+4)² c'e ³0 do sin²0 de Ⓒ-csc³0 Ⓒos²0 csc ³0 de cos¹0 de can be…

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Q: 154. Use the Fundamental Theorem of Calculus, Part 1, to find sin x d dx √1-t²dt.

A: Topic = Derivative

Q: What is the value of f(1) - 16B in | x³ Inx dx = f(x) ((1/4) Inx - B) + C? 00 O 3 0 2 01

A: This question can be solved using the concept of integration by parts.

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

A: The region bounded by the given curves x2=4y & y2=4x is: which is rotated around y=4.

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

Q: 8 - 1V₁-30 √4 3+²+10 dt. Let g(x) = What is g'(x)? +4-3+²+10 322 3x² + 10 3x²+10 √8 O√TA 4+³ 6 2√14…

A: Topic = Derivative

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

A: